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40137445762384 = 24891731181137957
BaseRepresentation
bin10010010000001001110100…
…01100100110010101010000
312021010002202121101011202111
421020010322030212111100
520230102442103344014
6221210515451555104
711311556215540105
oct1110047214462520
9167102677334674
1040137445762384
111187521682a733
124602aa545ba94
131951c38c1a149
149ca93c7b8aac
1549910159c2c4
hex24813a326550

40137445762384 has 80 divisors (see below), whose sum is σ = 79162193183760. Its totient is φ = 19711683031040.

The previous prime is 40137445762291. The next prime is 40137445762411. The reversal of 40137445762384 is 48326754473104.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 62570019600 + 40074875742784 = 250140^2 + 6330472^2 .

It is a super-2 number, since 2×401374457623842 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290872734 + ... + 291010690.

It is an arithmetic number, because the mean of its divisors is an integer number (989527414797).

Almost surely, 240137445762384 is an apocalyptic number.

It is an amenable number.

40137445762384 is a deficient number, since it is larger than the sum of its proper divisors (39024747421376).

40137445762384 is a wasteful number, since it uses less digits than its factorization.

40137445762384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139408 (or 139402 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 58.

The spelling of 40137445762384 in words is "forty trillion, one hundred thirty-seven billion, four hundred forty-five million, seven hundred sixty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 89 173 178 346 356 692 712 1181 1384 1424 2362 2768 4724 9448 15397 18896 30794 61588 105109 123176 137957 204313 210218 246352 275914 408626 420436 551828 817252 840872 1103656 1634504 1681744 2207312 3269008 12278173 18183857 23866561 24556346 36367714 47733122 49112692 72735428 95466244 98225384 145470856 162927217 190932488 196450768 290941712 325854434 381864976 651708868 1303417736 2124123929 2606835472 4248247858 8496495716 14500522313 16992991432 28186408541 29001044626 33985982864 56372817082 58002089252 112745634164 116004178504 225491268328 232008357008 450982536656 2508590360149 5017180720298 10034361440596 20068722881192 40137445762384