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40616730432 = 263270515157
BaseRepresentation
bin100101110100111100…
…100001111101000000
310212211122112200121100
4211310330201331000
51131140340333212
630354205254400
72635343340465
oct456474417500
9125748480540
1040616730432
11162530a3813
127a56564400
133aa3a88305
141d7446b66c
1510cac0bbdc
hex974f21f40

40616730432 has 42 divisors (see below), whose sum is σ = 116420525858. Its totient is φ = 13538909952.

The previous prime is 40616730431. The next prime is 40616730433. The reversal of 40616730432 is 23403761604.

It is a happy number.

40616730432 is a `hidden beast` number, since 4 + 0 + 616 + 7 + 3 + 0 + 4 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (40616730431) and next prime (40616730433).

It can be written as a sum of positive squares in only one way, i.e., 40555515456 + 61214976 = 201384^2 + 7824^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40616730431) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 35257003 + ... + 35258154.

Almost surely, 240616730432 is an apocalyptic number.

It is an amenable number.

40616730432 is an abundant number, since it is smaller than the sum of its proper divisors (75803795426).

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

40616730432 is a wasteful number, since it uses less digits than its factorization.

40616730432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70515175 (or 70515162 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 40616730432 in words is "forty billion, six hundred sixteen million, seven hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 70515157 141030314 211545471 282060628 423090942 564121256 634636413 846181884 1128242512 1269272826 1692363768 2256485024 2538545652 3384727536 4512970048 5077091304 6769455072 10154182608 13538910144 20308365216 40616730432