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40013601156 = 2234111132
BaseRepresentation
bin100101010000111111…
…110001100110000100
310211021121122112210000
4211100333301212010
51123421440214111
630214302201300
72614400666214
oct452077614604
9124247575700
1040013601156
1115a736a8871
127908583230
133a08b35299
141d1830c244
151092cc1c56
hex950ff1984

40013601156 has 45 divisors (see below), whose sum is σ = 104612870901. Its totient is φ = 13336666848.

The previous prime is 40013601151. The next prime is 40013601161. The reversal of 40013601156 is 65110631004.

The square root of 40013601156 is 200034.

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

40013601156 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 3 + 601 + 1 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (40013601151) and next prime (40013601161).

It can be written as a sum of positive squares in only one way, i.e., 179828100 + 39833773056 = 13410^2 + 199584^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40013601151) 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 14 ways as a sum of consecutive naturals, for example, 3595056 + ... + 3606168.

Almost surely, 240013601156 is an apocalyptic number.

40013601156 is the 200034-th square number.

It is an amenable number.

40013601156 is an abundant number, since it is smaller than the sum of its proper divisors (64599269745).

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

40013601156 is an frugal number, since it uses more digits than its factorization.

40013601156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22242 (or 11118 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 40013601156 in words is "forty billion, thirteen million, six hundred one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 11113 22226 33339 44452 66678 100017 133356 200034 300051 400068 600102 900153 1200204 1800306 3600612 123498769 246997538 370496307 493995076 740992614 1111488921 1481985228 2222977842 3334466763 4445955684 6668933526 10003400289 13337867052 20006800578 40013601156