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40923387458820 = 223251702913350881
BaseRepresentation
bin10010100111000001101111…
…11110001111010100000100
312100220020102020100002201100
421103200313332033110010
520330442044142140240
6223011540014100100
711422421455663266
oct1123406776172404
9170806366302640
1040923387458820
1112048569393929
12470b2877aa630
1319ab09c482ba9
14a169b9a0bb36
154ae7a0590e30
hex253837f8f504

40923387458820 has 72 divisors (see below), whose sum is σ = 124141574171160. Its totient is φ = 10912261662720.

The previous prime is 40923387458669. The next prime is 40923387458977. The reversal of 40923387458820 is 2885478332904.

40923387458820 is a `hidden beast` number, since 4 + 0 + 9 + 23 + 3 + 8 + 7 + 4 + 588 + 20 = 666.

40923387458820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5251173903936 + 35672213554884 = 2291544^2 + 5972622^2 .

It is a super-2 number, since 2×409233874588202 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3610221 + ... + 9740660.

It is an arithmetic number, because the mean of its divisors is an integer number (1724188530155).

Almost surely, 240923387458820 is an apocalyptic number.

It is an amenable number.

40923387458820 is an abundant number, since it is smaller than the sum of its proper divisors (83218186712340).

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

40923387458820 is a wasteful number, since it uses less digits than its factorization.

40923387458820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13367925 (or 13367920 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 40923387458820 in words is "forty trillion, nine hundred twenty-three billion, three hundred eighty-seven million, four hundred fifty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 17029 34058 51087 68116 85145 102174 153261 170290 204348 255435 306522 340580 510870 613044 766305 1021740 1532610 3065220 13350881 26701762 40052643 53403524 66754405 80105286 120157929 133508810 160210572 200263215 240315858 267017620 400526430 480631716 600789645 801052860 1201579290 2403158580 227352152549 454704305098 682056457647 909408610196 1136760762745 1364112915294 2046169372941 2273521525490 2728225830588 3410282288235 4092338745882 4547043050980 6820564576470 8184677491764 10230846864705 13641129152940 20461693729410 40923387458820