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40012950132 = 223323431033637
BaseRepresentation
bin100101010000111101…
…010010101001110100
310211021120102110202000
4211100331102221310
51123421303401012
630214240215300
72614362315201
oct452075225164
9124246373660
1040012950132
1115a732a3731
12790830a530
133a08967b6c
141d181bcca8
151092be3ddc
hex950f52a74

40012950132 has 192 divisors, whose sum is σ = 111871119360. Its totient is φ = 12336686208.

The previous prime is 40012950127. The next prime is 40012950149. The reversal of 40012950132 is 23105921004.

40012950132 is a `hidden beast` number, since 4 + 0 + 0 + 129 + 501 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 40012950096 and 40012950105.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 10999818 + ... + 11003454.

It is an arithmetic number, because the mean of its divisors is an integer number (582662080).

Almost surely, 240012950132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40012950132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55935559680).

40012950132 is an abundant number, since it is smaller than the sum of its proper divisors (71858169228).

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

40012950132 is a wasteful number, since it uses less digits than its factorization.

40012950132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3819 (or 3811 counting only the distinct ones).

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

The spelling of 40012950132 in words is "forty billion, twelve million, nine hundred fifty thousand, one hundred thirty-two".