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40112714688 = 26337107113467
BaseRepresentation
bin100101010110111001…
…110111001111000000
310211112112011000222120
4211112321313033000
51124122323332223
630232202404240
72620013310024
oct452671671700
9124475130876
1040112714688
1116014644282
127935800680
133a23528447
141d2754c384
15109b84dbe3
hex956e773c0

40112714688 has 224 divisors, whose sum is σ = 111229956864. Its totient is φ = 12746539008.

The previous prime is 40112714687. The next prime is 40112714689. The reversal of 40112714688 is 88641721104.

It is an interprime number because it is at equal distance from previous prime (40112714687) and next prime (40112714689).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40112714687) 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 31 ways as a sum of consecutive naturals, for example, 85894231 + ... + 85894697.

Almost surely, 240112714688 is an apocalyptic number.

40112714688 is a gapful number since it is divisible by the number (48) 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 40112714688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55614978432).

40112714688 is an abundant number, since it is smaller than the sum of its proper divisors (71117242176).

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

40112714688 is a wasteful number, since it uses less digits than its factorization.

40112714688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 40112714688 in words is "forty billion, one hundred twelve million, seven hundred fourteen thousand, six hundred eighty-eight".