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141305198010372 = 223411591394834523
BaseRepresentation
bin100000001000010000101110…
…001000011110000000000100
3200112022122102012120021120000
4200020100232020132000010
5122010121021142312442
61220310413430041300
741522651351234604
oct4010205610360004
9615278365507500
10141305198010372
114102a21a504580
1213a21a88aa9230
1360b003b6a5206
1426c72cad5cc04
151150a1492cd4c
hex80842e21e004

141305198010372 has 240 divisors, whose sum is σ = 412760056262400. Its totient is φ = 41791155215040.

The previous prime is 141305198010371. The next prime is 141305198010439. The reversal of 141305198010372 is 273010891503141.

141305198010372 is a `hidden beast` number, since 1 + 4 + 13 + 0 + 519 + 80 + 10 + 37 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (141305198010371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26811103 + ... + 31645625.

It is an arithmetic number, because the mean of its divisors is an integer number (1719833567760).

Almost surely, 2141305198010372 is an apocalyptic number.

141305198010372 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 141305198010372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206380028131200).

141305198010372 is an abundant number, since it is smaller than the sum of its proper divisors (271454858252028).

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

141305198010372 is a wasteful number, since it uses less digits than its factorization.

141305198010372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4834748 (or 4834737 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 141305198010372 in words is "one hundred forty-one trillion, three hundred five billion, one hundred ninety-eight million, ten thousand, three hundred seventy-two".