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40091251984 = 247271512
BaseRepresentation
bin100101010101100111…
…111111010100010000
310211111000202121200121
4211111213333110100
51124101330030414
630230114400024
72616333006400
oct452547772420
9124430677617
1040091251984
1116003515003
12792a590014
133a1bc52314
141d24762800
151099a0e724
hex9559ff510

40091251984 has 45 divisors (see below), whose sum is σ = 90371364951. Its totient is φ = 17179562400.

The previous prime is 40091251943. The next prime is 40091252011. The reversal of 40091251984 is 48915219004.

The square root of 40091251984 is 200228.

It is a perfect power (a square), and thus also a powerful number.

It is a self number, because there is not a number n which added to its sum of digits gives 40091251984.

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 8 ways as a sum of consecutive naturals, for example, 5602809 + ... + 5609959.

Almost surely, 240091251984 is an apocalyptic number.

40091251984 is the 200228-th square number.

It is an amenable number.

40091251984 is an abundant number, since it is smaller than the sum of its proper divisors (50280112967).

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

40091251984 is an frugal number, since it uses more digits than its factorization.

40091251984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14324 (or 7160 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The spelling of 40091251984 in words is "forty billion, ninety-one million, two hundred fifty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 7151 14302 28604 50057 57208 100114 114416 200228 350399 400456 700798 800912 1401596 2803192 5606384 51136801 102273602 204547204 357957607 409094408 715915214 818188816 1431830428 2505703249 2863660856 5011406498 5727321712 10022812996 20045625992 40091251984