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141460639358976 = 2133272979181661
BaseRepresentation
bin100000001010100001011111…
…001010001010000000000000
3200112212111122011212221110100
4200022201133022022000000
5122020142342133441401
61220510042013402400
741540123342011140
oct4012413712120000
9615774564787410
10141460639358976
114108a136057443
1213a48029a99400
1360c18b1371172
1426d0a3525a920
151154ab1093b86
hex80a85f28a000

141460639358976 has 1344 divisors, whose sum is σ = 492682787251200. Its totient is φ = 38258815795200.

The previous prime is 141460639358893. The next prime is 141460639358981. The reversal of 141460639358976 is 679853936064141.

141460639358976 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 6 + 0 + 6 + 39 + 3 + 589 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×1414606393589762 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 214010044086 + ... + 214010044746.

It is an arithmetic number, because the mean of its divisors is an integer number (366579454800).

Almost surely, 2141460639358976 is an apocalyptic number.

141460639358976 is a gapful number since it is divisible by the number (16) 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 141460639358976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246341393625600).

141460639358976 is an abundant number, since it is smaller than the sum of its proper divisors (351222147892224).

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

141460639358976 is a wasteful number, since it uses less digits than its factorization.

141460639358976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 141460639358976 in words is "one hundred forty-one trillion, four hundred sixty billion, six hundred thirty-nine million, three hundred fifty-eight thousand, nine hundred seventy-six".