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141414747446376 = 23325849335799917
BaseRepresentation
bin100000001001110110101111…
…110010011001110001101000
3200112201010011220011020022200
4200021312233302121301220
5122013414400321241001
61220433012122420200
741533610162126445
oct4011665762316150
9615633156136280
10141414747446376
1141071726293248
1213a3b160961660
1360ba4797387b1
1426cc7203789cc
1511537c71c5086
hex809dafc99c68

141414747446376 has 48 divisors (see below), whose sum is σ = 383063756458500. Its totient is φ = 47130189810432.

The previous prime is 141414747446267. The next prime is 141414747446381. The reversal of 141414747446376 is 673644747414141.

141414747446376 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 147 + 47 + 446 + 3 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 139142643423876 + 2272104022500 = 11795874^2 + 1507350^2 .

It is a super-3 number, since 3×1414147474463763 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167478831 + ... + 168321086.

Almost surely, 2141414747446376 is an apocalyptic number.

It is an amenable number.

141414747446376 is an abundant number, since it is smaller than the sum of its proper divisors (241649009012124).

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

141414747446376 is a wasteful number, since it uses less digits than its factorization.

141414747446376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335805778 (or 335805771 counting only the distinct ones).

The product of its digits is 151732224, while the sum is 63.

The spelling of 141414747446376 in words is "one hundred forty-one trillion, four hundred fourteen billion, seven hundred forty-seven million, four hundred forty-six thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5849 11698 17547 23396 35094 46792 52641 70188 105282 140376 210564 421128 335799917 671599834 1007399751 1343199668 2014799502 2686399336 3022199253 4029599004 6044398506 8059198008 12088797012 24177594024 1964093714533 3928187429066 5892281143599 7856374858132 11784562287198 15712749716264 17676843430797 23569124574396 35353686861594 47138249148792 70707373723188 141414747446376