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141142802944 = 29111319241421
BaseRepresentation
bin1000001101110011000…
…1000100001000000000
3111111022111002021200011
42003130301010020000
54303030024143234
6144501244034304
713124436013213
oct2033461041000
9444274067604
10141142802944
1154949483990
1223430532994
131040457b260
146b8d30d77a
153a1120eb64
hex20dcc44200

141142802944 has 320 divisors, whose sum is σ = 351028782720. Its totient is φ = 55738368000.

The previous prime is 141142802903. The next prime is 141142802989. The reversal of 141142802944 is 449208241141.

It is a junction number, because it is equal to n+sod(n) for n = 141142802897 and 141142802906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335255854 + ... + 335256274.

It is an arithmetic number, because the mean of its divisors is an integer number (1096964946).

Almost surely, 2141142802944 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 141142802944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175514391360).

141142802944 is an abundant number, since it is smaller than the sum of its proper divisors (209885979776).

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

141142802944 is a wasteful number, since it uses less digits than its factorization.

141142802944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 141142802944 in words is "one hundred forty-one billion, one hundred forty-two million, eight hundred two thousand, nine hundred forty-four".