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40150032120 = 233251173138889
BaseRepresentation
bin100101011001001000…
…001101111011111000
310211122010100221212200
4211121020031323320
51124211402011440
630240014310200
72620645433142
oct453110157370
9124563327780
1040150032120
1116033712430
1279461b8360
133a2b192c73
141d2c4a3c92
15109ec70c30
hex95920def8

40150032120 has 192 divisors, whose sum is σ = 144301154400. Its totient is φ = 9599938560.

The previous prime is 40150032113. The next prime is 40150032127. The reversal of 40150032120 is 2123005104.

40150032120 is a `hidden beast` number, since 40 + 1 + 500 + 3 + 2 + 120 = 666.

40150032120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40150032113) and next prime (40150032127).

It is a super-2 number, since 2×401500321202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40150032093 and 40150032102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40150032127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219636 + ... + 358524.

Almost surely, 240150032120 is an apocalyptic number.

40150032120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40150032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72150577200).

40150032120 is an abundant number, since it is smaller than the sum of its proper divisors (104151122280).

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

40150032120 is a wasteful number, since it uses less digits than its factorization.

40150032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138990 (or 138983 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 40150032120 its reverse (2123005104), we get a palindrome (42273037224).

The spelling of 40150032120 in words is "forty billion, one hundred fifty million, thirty-two thousand, one hundred twenty".