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141040812323304 = 23352323071136727
BaseRepresentation
bin100000000100011010011111…
…100001000111000111101000
3200111101100222201020210200000
4200010122133201013013220
5121441303040423321204
61215545131003143000
741464601545046325
oct4004323741070750
9614340881223600
10141040812323304
1140a380886a2753
121399a7a2814a60
13609112613786a
1426b85a9b57b4c
151148bddbe8039
hex80469f8471e8

141040812323304 has 192 divisors, whose sum is σ = 413377266032640. Its totient is φ = 44967256297920.

The previous prime is 141040812323227. The next prime is 141040812323339. The reversal of 141040812323304 is 403323218040141.

141040812323304 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 40 + 81 + 232 + 3 + 304 = 666.

It is a super-2 number, since 2×1410408123233042 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1031482189 + ... + 1031618915.

It is an arithmetic number, because the mean of its divisors is an integer number (2153006593920).

Almost surely, 2141040812323304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141040812323304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206688633016320).

141040812323304 is an abundant number, since it is smaller than the sum of its proper divisors (272336453709336).

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

141040812323304 is a wasteful number, since it uses less digits than its factorization.

141040812323304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159842 (or 159826 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 141040812323304 in words is "one hundred forty-one trillion, forty billion, eight hundred twelve million, three hundred twenty-three thousand, three hundred four".