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40231112014400 = 2652233107916073
BaseRepresentation
bin10010010010111000010010…
…01000111111101001000000
312021110001112100221210011112
421021130021020333221000
520233121304133430100
6221321530120502452
711321413313542046
oct1111341110775100
9167401470853145
1040231112014400
1111900a11a0016a
12461908601aa28
13195aa154780c8
149d12a6590396
1549b784725b35
hex24970923fa40

40231112014400 has 84 divisors (see below), whose sum is σ = 99418546501092. Its totient is φ = 16023378370560.

The previous prime is 40231112014397. The next prime is 40231112014421. The reversal of 40231112014400 is 441021113204.

It can be written as a sum of positive squares in 6 ways, for example, as 1082865009664 + 39148247004736 = 1040608^2 + 6256856^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53585237 + ... + 54330836.

It is an arithmetic number, because the mean of its divisors is an integer number (1183554125013).

Almost surely, 240231112014400 is an apocalyptic number.

40231112014400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40231112014400 is an abundant number, since it is smaller than the sum of its proper divisors (59187434486692).

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

40231112014400 is a wasteful number, since it uses less digits than its factorization.

40231112014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107916328 (or 107916313 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 40231112014400 its reverse (441021113204), we get a palindrome (40672133127604).

The spelling of 40231112014400 in words is "forty trillion, two hundred thirty-one billion, one hundred twelve million, fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 233 320 400 466 800 932 1165 1600 1864 2330 3728 4660 5825 7456 9320 11650 14912 18640 23300 37280 46600 74560 93200 186400 372800 107916073 215832146 431664292 539580365 863328584 1079160730 1726657168 2158321460 2697901825 3453314336 4316642920 5395803650 6906628672 8633285840 10791607300 17266571680 21583214600 25144445009 34533143360 43166429200 50288890018 86332858400 100577780036 125722225045 172665716800 201155560072 251444450090 402311120144 502888900180 628611125225 804622240288 1005777800360 1257222250450 1609244480576 2011555600720 2514444500900 4023111201440 5028889001800 8046222402880 10057778003600 20115556007200 40231112014400