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40207486343742 = 23244968311176521
BaseRepresentation
bin10010010010001100010001…
…11100001101101000111110
312021100210112212002100210100
421021012020330031220332
520232224413000444432
6221303021512421530
711316615664625544
oct1111061074155076
9167323485070710
1040207486343742
11118a199891a113
1246145919a78a6
13195871b8a2b23
149d00a4955d94
1549ad5052707c
hex249188f0da3e

40207486343742 has 96 divisors (see below), whose sum is σ = 87529776703200. Its totient is φ = 13339066245120.

The previous prime is 40207486343741. The next prime is 40207486343777. The reversal of 40207486343742 is 24734368470204.

40207486343742 is a `hidden beast` number, since 4 + 0 + 20 + 74 + 86 + 3 + 437 + 42 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40207486343741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6165843442 + ... + 6165849962.

It is an arithmetic number, because the mean of its divisors is an integer number (911768507325).

Almost surely, 240207486343742 is an apocalyptic number.

40207486343742 is an abundant number, since it is smaller than the sum of its proper divisors (47322290359458).

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

40207486343742 is a wasteful number, since it uses less digits than its factorization.

40207486343742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8778 (or 8775 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 54.

The spelling of 40207486343742 in words is "forty trillion, two hundred seven billion, four hundred eighty-six million, three hundred forty-three thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 449 683 898 1117 1347 1366 2049 2234 2694 3351 4041 4098 6147 6521 6702 8082 10053 12294 13042 19563 20106 39126 58689 117378 306667 501533 613334 762911 920001 1003066 1504599 1525822 1840002 2288733 2760003 2927929 3009198 4453843 4513797 4577466 5520006 5855858 6866199 7283957 8783787 8907686 9027594 13361529 13732398 14567914 17567574 21851871 26351361 26723058 40084587 43703742 52702722 65555613 80169174 131111226 342547039 685094078 1027641117 1999775507 2055282234 3082923351 3270496693 3999551014 4974942631 5999326521 6165846702 6540993386 9811490079 9949885262 11998653042 14924827893 17997979563 19622980158 29434470237 29849655786 35995959126 44774483679 58868940474 89548967358 2233749241319 4467498482638 6701247723957 13402495447914 20103743171871 40207486343742