Search a number
-
+
44534344343544 = 23331147398795977
BaseRepresentation
bin10100010000000111101011…
…10001100101111111111000
312211200102221000202211212000
422020003311301211333320
521314122314122443134
6234414443444021000
712244333366036626
oct1210036561457770
9184612830684760
1044534344343544
111320aa00412830
124bb3079991760
131bb0755950123
14add68c034516
15523691a26e99
hex2880f5c65ff8

44534344343544 has 128 divisors (see below), whose sum is σ = 137823889996800. Its totient is φ = 13208122725120.

The previous prime is 44534344343543. The next prime is 44534344343549.

44534344343544 is a `hidden beast` number, since 4 + 4 + 5 + 34 + 34 + 4 + 34 + 3 + 544 = 666.

44534344343544 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×445343443435442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44534344343543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199286317 + ... + 199509660.

It is an arithmetic number, because the mean of its divisors is an integer number (1076749140600).

Almost surely, 244534344343544 is an apocalyptic number.

44534344343544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44534344343544 is an abundant number, since it is smaller than the sum of its proper divisors (93289545653256).

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

44534344343544 is a wasteful number, since it uses less digits than its factorization.

44534344343544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398796050 (or 398796040 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 54.

It can be divided in two parts, 4453434 and 4343544, that added together give a palindrome (8796978).

The spelling of 44534344343544 in words is "forty-four trillion, five hundred thirty-four billion, three hundred forty-four million, three hundred forty-three thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 47 54 66 72 88 94 99 108 132 141 188 198 216 264 282 297 376 396 423 517 564 594 792 846 1034 1128 1188 1269 1551 1692 2068 2376 2538 3102 3384 4136 4653 5076 6204 9306 10152 12408 13959 18612 27918 37224 55836 111672 398795977 797591954 1196387931 1595183908 2392775862 3190367816 3589163793 4386755747 4785551724 7178327586 8773511494 9571103448 10767491379 13160267241 14356655172 17547022988 18743410919 21534982758 26320534482 28713310344 35094045976 37486821838 39480801723 43069965516 52641068964 56230232757 74973643676 78961603446 86139931032 105282137928 112460465514 118442405169 149947287352 157923206892 168690698271 206177520109 224920931028 236884810338 315846413784 337381396542 412355040218 449841862056 473769620676 506072094813 618532560327 674762793084 824710080436 947539241352 1012144189626 1237065120654 1349525586168 1649420160872 1855597680981 2024288379252 2474130241308 3711195361962 4048576758504 4948260482616 5566793042943 7422390723924 11133586085886 14844781447848 22267172171772 44534344343544