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40998865057488 = 24321382926418701
BaseRepresentation
bin10010101001001110010101…
…10010011011011011010000
312101011110020101202101100200
421110213022302123123100
520333211133423314423
6223110341341015200
711431033044664332
oct1124471262333320
9171143211671320
1040998865057488
1112077580539948
124721a30b54500
1319b523a699a90
14a1a4d9cc9452
154b171b9e8d43
hex2549cac9b6d0

40998865057488 has 120 divisors (see below), whose sum is σ = 123715082847720. Its totient is φ = 12599817753600.

The previous prime is 40998865057453. The next prime is 40998865057499. The reversal of 40998865057488 is 88475056889904.

40998865057488 is a `hidden beast` number, since 4 + 0 + 9 + 9 + 8 + 86 + 5 + 0 + 57 + 488 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 181179625104 + 40817685432384 = 425652^2 + 6388872^2 .

It is a super-2 number, since 2×409988650574882 (a number of 28 digits) contains 22 as substring.

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, 11657463 + ... + 14761238.

It is an arithmetic number, because the mean of its divisors is an integer number (1030959023731).

Almost surely, 240998865057488 is an apocalyptic number.

40998865057488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40998865057488 is an abundant number, since it is smaller than the sum of its proper divisors (82716217790232).

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

40998865057488 is a wasteful number, since it uses less digits than its factorization.

40998865057488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26419557 (or 26419548 counting only the distinct ones).

The product of its (nonzero) digits is 5573836800, while the sum is 81.

The spelling of 40998865057488 in words is "forty trillion, nine hundred ninety-eight billion, eight hundred sixty-five million, fifty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 829 936 1658 1872 2487 3316 4974 6632 7461 9948 10777 13264 14922 19896 21554 29844 32331 39792 43108 59688 64662 86216 96993 119376 129324 172432 193986 258648 387972 517296 775944 1551888 26418701 52837402 79256103 105674804 158512206 211349608 237768309 317024412 343443113 422699216 475536618 634048824 686886226 951073236 1030329339 1268097648 1373772452 1902146472 2060658678 2747544904 3090988017 3804292944 4121317356 5495089808 6181976034 8242634712 12363952068 16485269424 21901103129 24727904136 43802206258 49455808272 65703309387 87604412516 131406618774 175208825032 197109928161 262813237548 284714340677 350417650064 394219856322 525626475096 569428681354 788439712644 854143022031 1051252950192 1138857362708 1576879425288 1708286044062 2277714725416 2562429066093 3153758850576 3416572088124 4555429450832 5124858132186 6833144176248 10249716264372 13666288352496 20499432528744 40998865057488