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141350010011136 = 2933373101327061
BaseRepresentation
bin100000001000111010011101…
…001000101011111000000000
3200112110221002020020210011000
4200020322131020223320000
5122011334310030324021
61220343144222452000
741526126006040263
oct4010723510537000
9615427066223130
10141350010011136
1141047225733a53
1213a2a6b4434000
1360b43306714b4
1426c953c650cda
151151c88ad2b26
hex808e9d22be00

141350010011136 has 320 divisors, whose sum is σ = 419957239141440. Its totient is φ = 46942229790720.

The previous prime is 141350010011123. The next prime is 141350010011137. The reversal of 141350010011136 is 631110010053141.

141350010011136 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 500 + 10 + 0 + 11 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141350010011137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5223371046 + ... + 5223398106.

It is an arithmetic number, because the mean of its divisors is an integer number (1312366372317).

Almost surely, 2141350010011136 is an apocalyptic number.

141350010011136 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 141350010011136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209978619570720).

141350010011136 is an abundant number, since it is smaller than the sum of its proper divisors (278607229130304).

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

141350010011136 is a wasteful number, since it uses less digits than its factorization.

141350010011136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28474 (or 28452 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 141350010011136 its reverse (631110010053141), we get a palindrome (772460020064277).

The spelling of 141350010011136 in words is "one hundred forty-one trillion, three hundred fifty billion, ten million, eleven thousand, one hundred thirty-six".