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40312276992 = 21136133167
BaseRepresentation
bin100101100010110011…
…001000100000000000
310212001102122212000000
4211202303020200000
51130024420330432
630304052000000
72624655462231
oct454263104000
9125042585000
1040312276992
11161072583a9
127990600000
133a5598b450
141d45c59088
1510ae11d57c
hex962cc8800

40312276992 has 672 divisors, whose sum is σ = 136351837440. Its totient is φ = 11824496640.

The previous prime is 40312276981. The next prime is 40312276999. The reversal of 40312276992 is 29967221304.

It is not an unprimeable number, because it can be changed into a prime (40312276999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 601675743 + ... + 601675809.

It is an arithmetic number, because the mean of its divisors is an integer number (202904520).

Almost surely, 240312276992 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 40312276992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68175918720).

40312276992 is an abundant number, since it is smaller than the sum of its proper divisors (96039560448).

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

40312276992 is an equidigital number, since it uses as much as digits as its factorization.

40312276992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 40312276992 in words is "forty billion, three hundred twelve million, two hundred seventy-six thousand, nine hundred ninety-two".