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141928469760 = 283571133967
BaseRepresentation
bin1000010000101110011…
…0001001010100000000
3111120100020110021221010
42010023212021110000
54311132142013020
6145111231400520
713153056042060
oct2041346112400
9446306407833
10141928469760
1155211a15000
122360b683140
13104cb28316c
146c257c73a0
153a5a1a4de0
hex210b989500

141928469760 has 576 divisors, whose sum is σ = 569947521024. Its totient is φ = 29484195840.

The previous prime is 141928469737. The next prime is 141928469801. The reversal of 141928469760 is 67964829141.

It is a self number, because there is not a number n which added to its sum of digits gives 141928469760.

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, 35775297 + ... + 35779263.

It is an arithmetic number, because the mean of its divisors is an integer number (989492224).

Almost surely, 2141928469760 is an apocalyptic number.

141928469760 is a gapful number since it is divisible by the number (10) 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 141928469760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284973760512).

141928469760 is an abundant number, since it is smaller than the sum of its proper divisors (428019051264).

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

141928469760 is an equidigital number, since it uses as much as digits as its factorization.

141928469760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4031 (or 3995 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 141928469760 in words is "one hundred forty-one billion, nine hundred twenty-eight million, four hundred sixty-nine thousand, seven hundred sixty".