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40416502125204 = 223229472257136493
BaseRepresentation
bin10010011000010001100110…
…10000001001001010010100
312022002210001112011012101200
421030020303100021022110
520244140444021001304
6221543030150152500
711340665412512652
oct1114106320111224
9168083045135350
1040416502125204
11119725a6880377
124648ba4952730
13197234ba0951a
149da252199dd2
154a14d5243e39
hex24c233409294

40416502125204 has 144 divisors (see below), whose sum is σ = 107943226110720. Its totient is φ = 12729939344640.

The previous prime is 40416502125179. The next prime is 40416502125217. The reversal of 40416502125204 is 40252120561404.

40416502125204 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 6 + 502 + 125 + 20 + 4 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1107495582 + ... + 1107532074.

It is an arithmetic number, because the mean of its divisors is an integer number (749605736880).

Almost surely, 240416502125204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40416502125204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53971613055360).

40416502125204 is an abundant number, since it is smaller than the sum of its proper divisors (67526723985516).

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

40416502125204 is a wasteful number, since it uses less digits than its factorization.

40416502125204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59150 (or 59145 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 40416502125204 its reverse (40252120561404), we get a palindrome (80668622686608).

The spelling of 40416502125204 in words is "forty trillion, four hundred sixteen billion, five hundred two million, one hundred twenty-five thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 29 36 47 58 87 94 116 141 174 188 261 282 348 423 522 564 846 1044 1363 1692 2726 4089 5452 8178 12267 16356 22571 24534 36493 45142 49068 67713 72986 90284 109479 135426 145972 203139 218958 270852 328437 406278 437916 654559 656874 812556 1058297 1060837 1309118 1313748 1715171 1963677 2116594 2121674 2618236 3174891 3182511 3430342 3927354 4233188 4243348 5145513 5891031 6349782 6365022 6860684 7854708 9524673 9547533 10291026 11782062 12699564 12730044 15436539 19049346 19095066 20582052 23564124 30764273 30873078 38098692 38190132 49739959 61528546 61746156 92292819 99479918 123057092 149219877 184585638 198959836 276878457 298439754 369171276 447659631 553756914 596879508 823683503 895319262 1107513828 1647367006 1790638524 2471050509 3294734012 4942101018 7413151527 9884202036 14826303054 23886821587 29652606108 38713124641 47773643174 71660464761 77426249282 95547286348 116139373923 143320929522 154852498564 214981394283 232278747846 286641859044 348418121769 429962788566 464557495692 696836243538 859925577132 1122680614589 1393672487076 2245361229178 3368041843767 4490722458356 6736083687534 10104125531301 13472167375068 20208251062602 40416502125204