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104441655120 = 243511306712899
BaseRepresentation
bin110000101000100110…
…1010010111101010000
3100222120201101210121220
41201101031102331100
53202344030430440
6115551351045040
710355106264225
oct1412115227520
9328521353556
10104441655120
1140325656360
12182a9370780
139b05a9873a
1450aacdd94c
152ab41508d0
hex1851352f50

104441655120 has 160 divisors (see below), whose sum is σ = 353345241600. Its totient is φ = 25308971520.

The previous prime is 104441655113. The next prime is 104441655221. The reversal of 104441655120 is 21556144401.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8090431 + ... + 8103329.

It is an arithmetic number, because the mean of its divisors is an integer number (2208407760).

Almost surely, 2104441655120 is an apocalyptic number.

104441655120 is a gapful number since it is divisible by the number (10) 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 104441655120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176672620800).

104441655120 is an abundant number, since it is smaller than the sum of its proper divisors (248903586480).

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

104441655120 is a wasteful number, since it uses less digits than its factorization.

104441655120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15993 (or 15987 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 104441655120 its reverse (21556144401), we get a palindrome (125997799521).

The spelling of 104441655120 in words is "one hundred four billion, four hundred forty-one million, six hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 3067 6134 9201 12268 12899 15335 18402 24536 25798 30670 33737 36804 38697 46005 49072 51596 61340 64495 67474 73608 77394 92010 101211 103192 122680 128990 134948 141889 147216 154788 168685 184020 193485 202422 206384 245360 257980 269896 283778 309576 337370 368040 386970 404844 425667 506055 515960 539792 567556 619152 674740 709445 736080 773940 809688 851334 1012110 1031920 1135112 1349480 1418890 1547880 1619376 1702668 2024220 2128335 2270224 2698960 2837780 3095760 3405336 4048440 4256670 5675560 6810672 8096880 8513340 11351120 17026680 34053360 39561233 79122466 118683699 158244932 197806165 237367398 316489864 395612330 435173563 474734796 593418495 632979728 791224660 870347126 949469592 1186836990 1305520689 1582449320 1740694252 1898939184 2175867815 2373673980 2611041378 3164898640 3481388504 4351735630 4747347960 5222082756 6527603445 6962777008 8703471260 9494695920 10444165512 13055206890 17406942520 20888331024 26110413780 34813885040 52220827560 104441655120