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141495940992 = 2737414759463
BaseRepresentation
bin1000001111000111010…
…0001011011110000000
3111112020002120120000010
42003301310023132000
54304240430102432
6145000301024520
713136254440210
oct2036164133600
9445202516003
10141495940992
115500a85180a
122350a855140
131045c792893
146bc4196240
153a322183cc
hex20f1d0b780

141495940992 has 512 divisors, whose sum is σ = 457983590400. Its totient is φ = 37865963520.

The previous prime is 141495940979. The next prime is 141495941003. The reversal of 141495940992 is 299049594141.

It is a super-2 number, since 2×1414959409922 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 305606553 + ... + 305607015.

It is an arithmetic number, because the mean of its divisors is an integer number (894499200).

Almost surely, 2141495940992 is an apocalyptic number.

141495940992 is a gapful number since it is divisible by the number (12) 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 141495940992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228991795200).

141495940992 is an abundant number, since it is smaller than the sum of its proper divisors (316487649408).

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

141495940992 is a wasteful number, since it uses less digits than its factorization.

141495940992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 57.

The spelling of 141495940992 in words is "one hundred forty-one billion, four hundred ninety-five million, nine hundred forty thousand, nine hundred ninety-two".