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40137424758126 = 23586395697907
BaseRepresentation
bin10010010000001001110001…
…11100011110010101101110
312021010002201010212001100000
421020010320330132111232
520230102421214230001
6221210513421445130
711311555542156153
oct1110047074362556
9167102633761300
1040137424758126
1111875205993943
124602a9a4107a6
131951c347748a7
149ca939aac22a
154990ee7eda86
hex248138f1e56e

40137424758126 has 48 divisors (see below), whose sum is σ = 90289827823104. Its totient is φ = 13363638385464.

The previous prime is 40137424758103. The next prime is 40137424758127. The reversal of 40137424758126 is 62185742473104.

40137424758126 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 7 + 42 + 475 + 8 + 126 = 666.

It is a super-2 number, since 2×401374247581262 (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 (40137424758127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47429536 + ... + 48268371.

It is an arithmetic number, because the mean of its divisors is an integer number (1881038079648).

Almost surely, 240137424758126 is an apocalyptic number.

40137424758126 is an abundant number, since it is smaller than the sum of its proper divisors (50152403064978).

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

40137424758126 is an equidigital number, since it uses as much as digits as its factorization.

40137424758126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95698787 (or 95698775 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 40137424758126 in words is "forty trillion, one hundred thirty-seven billion, four hundred twenty-four million, seven hundred fifty-eight thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 863 1726 2589 5178 7767 15534 23301 46602 69903 139806 209709 419418 95697907 191395814 287093721 574187442 861281163 1722562326 2583843489 5167686978 7751530467 15503060934 23254591401 46509182802 82587293741 165174587482 247761881223 495523762446 743285643669 1486571287338 2229856931007 4459713862014 6689570793021 13379141586042 20068712379063 40137424758126