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141139514880 = 29335713191181
BaseRepresentation
bin1000001101110010010…
…0100001011000000000
3111111022020220020022000
42003130210201120000
54303023203434010
6144501045344000
713124366040060
oct2033444413000
9444266806260
10141139514880
1154947638581
122342b408000
1310403999760
146b8cad53a0
153a10cb07c0
hex20dc921600

141139514880 has 1280 divisors, whose sum is σ = 650058393600. Its totient is φ = 28187688960.

The previous prime is 141139514843. The next prime is 141139514921. The reversal of 141139514880 is 88415931141.

141139514880 is a `hidden beast` number, since 1 + 4 + 113 + 9 + 51 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119507890 + ... + 119509070.

It is an arithmetic number, because the mean of its divisors is an integer number (507858120).

Almost surely, 2141139514880 is an apocalyptic number.

141139514880 is a gapful number since it is divisible by the number (10) 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 141139514880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325029196800).

141139514880 is an abundant number, since it is smaller than the sum of its proper divisors (508918878720).

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

141139514880 is a wasteful number, since it uses less digits than its factorization.

141139514880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 141139514880 in words is "one hundred forty-one billion, one hundred thirty-nine million, five hundred fourteen thousand, eight hundred eighty".