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104023344222432 = 25323372917336739
BaseRepresentation
bin10111101001101111010010…
…011110110001000011100000
3111122022112102201021121012200
4113221233102132301003200
5102113304302110104212
61005123355320253200
730624303304600035
oct2751572236610340
9448275381247180
10104023344222432
1130166063a26658
12b800507611200
13460748941303b
141b98a8464538c
15c05d44dd16dc
hex5e9bd27b10e0

104023344222432 has 144 divisors (see below), whose sum is σ = 296712424728720. Its totient is φ = 34569430511616.

The previous prime is 104023344222367. The next prime is 104023344222481. The reversal of 104023344222432 is 234222443320401.

104023344222432 is a `hidden beast` number, since 1 + 0 + 40 + 2 + 334 + 42 + 2 + 243 + 2 = 666.

104023344222432 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1040233442224322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2831396319 + ... + 2831433057.

It is an arithmetic number, because the mean of its divisors is an integer number (2060502949505).

Almost surely, 2104023344222432 is an apocalyptic number.

104023344222432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104023344222432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148356212364360).

104023344222432 is an abundant number, since it is smaller than the sum of its proper divisors (192689080506288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104023344222432 is a wasteful number, since it uses less digits than its factorization.

104023344222432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66265 (or 66254 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 104023344222432 its reverse (234222443320401), we get a palindrome (338245787542833).

The spelling of 104023344222432 in words is "one hundred four trillion, twenty-three billion, three hundred forty-four million, two hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 337 674 1011 1348 2022 2696 3033 4044 5392 6066 8088 10784 12132 16176 24264 29173 32352 36739 48528 58346 73478 87519 97056 110217 116692 146956 175038 220434 233384 262557 293912 330651 350076 440868 466768 525114 587824 661302 700152 881736 933536 1050228 1175648 1322604 1400304 1763472 2100456 2645208 2800608 3526944 4200912 5290416 8401824 9831301 10580832 12381043 19662602 24762086 29493903 37143129 39325204 49524172 58987806 74286258 78650408 88481709 99048344 111429387 117975612 148572516 157300816 176963418 198096688 222858774 235951224 297145032 314601632 353926836 396193376 445717548 471902448 594290064 707853672 891435096 943804896 1071786847 1188580128 1415707344 1782870192 2143573694 2831414688 3215360541 3565740384 4287147388 6430721082 8574294776 9646081623 12861442164 17148589552 19292163246 25722884328 34297179104 38584326492 51445768656 77168652984 102891537312 154337305968 308674611936 361192167439 722384334878 1083576502317 1444768669756 2167153004634 2889537339512 3250729506951 4334306009268 5779074679024 6501459013902 8668612018536 11558149358048 13002918027804 17337224037072 26005836055608 34674448074144 52011672111216 104023344222432