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40089475140625 = 56376
BaseRepresentation
bin10010001110110000011101…
…11011001100110000010001
312020221111221110012002201201
421013120032323030300101
520223311221114000000
6221132503423031201
711305240365145021
oct1107301673146021
9166844843162651
1040089475140625
111185693a64a589
1245b573813b501
13194a56273c761
149c84ab7cda81
15497c44e6e96a
hex24760eeccc11

40089475140625 has 49 divisors (see below), whose sum is σ = 51503180340697. Its totient is φ = 31204780650000.

The previous prime is 40089475140569. The next prime is 40089475140653. The reversal of 40089475140625 is 52604157498004.

The square root of 40089475140625 is 6331625.

The cubic root of 40089475140625 is 34225.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 24 ways, for example, as 26129507560209 + 13959967580416 = 5111703^2 + 3736304^2 .

It is not a de Polignac number, because 40089475140625 - 27 = 40089475140497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 1083499328107 + ... + 1083499328143.

Almost surely, 240089475140625 is an apocalyptic number.

40089475140625 is the 6331625-th square number.

40089475140625 is the 3165813-rd centered octagonal number.

It is an amenable number.

40089475140625 is a deficient number, since it is larger than the sum of its proper divisors (11413705200072).

40089475140625 is an frugal number, since it uses more digits than its factorization.

40089475140625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 55.

The spelling of 40089475140625 in words is "forty trillion, eighty-nine billion, four hundred seventy-five million, one hundred forty thousand, six hundred twenty-five".

Divisors: 1 5 25 37 125 185 625 925 1369 3125 4625 6845 15625 23125 34225 50653 115625 171125 253265 578125 855625 1266325 1874161 4278125 6331625 9370805 21390625 31658125 46854025 69343957 158290625 234270125 346719785 791453125 1171350625 1733598925 2565726409 5856753125 8667994625 12828632045 29283765625 43339973125 64143160225 216699865625 320715801125 1083499328125 1603579005625 8017895028125 40089475140625