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40698770112 = 26347112132331
BaseRepresentation
bin100101111001110101…
…011111001011000000
310220001100220201220000
4211321311133023000
51131322341120422
630410255520000
72640360560310
oct457165371300
9126040821800
1040698770112
1116295438400
127a79b29000
133ab7a80bc0
141d81305440
1510d3014cac
hex979d5f2c0

40698770112 has 1680 divisors, whose sum is σ = 175800446976. Its totient is φ = 9032601600.

The previous prime is 40698770111. The next prime is 40698770137. The reversal of 40698770112 is 21107789604.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40698770111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1312863537 + ... + 1312863567.

Almost surely, 240698770112 is an apocalyptic number.

40698770112 is a gapful number since it is divisible by the number (42) 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 40698770112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87900223488).

40698770112 is an abundant number, since it is smaller than the sum of its proper divisors (135101676864).

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

40698770112 is a wasteful number, since it uses less digits than its factorization.

40698770112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 40698770112 in words is "forty billion, six hundred ninety-eight million, seven hundred seventy thousand, one hundred twelve".