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141095245368 = 2337112314143127
BaseRepresentation
bin1000001101100111101…
…1101001011000111000
3111111012011121002221110
42003121323221120320
54302430340322433
6144452424440320
713123320540330
oct2033173513070
9444164532843
10141095245368
1154924651200
12234186190a0
13103c776978c
146b86c900c0
153a0be68963
hex20d9ee9638

141095245368 has 768 divisors, whose sum is σ = 483231006720. Its totient is φ = 33530112000.

The previous prime is 141095245339. The next prime is 141095245387. The reversal of 141095245368 is 863542590141.

141095245368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1410952453682 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1110986121 + ... + 1110986247.

It is an arithmetic number, because the mean of its divisors is an integer number (629207040).

Almost surely, 2141095245368 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 141095245368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241615503360).

141095245368 is an abundant number, since it is smaller than the sum of its proper divisors (342135761352).

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

141095245368 is a wasteful number, since it uses less digits than its factorization.

141095245368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 141095245368 in words is "one hundred forty-one billion, ninety-five million, two hundred forty-five thousand, three hundred sixty-eight".