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141720655104 = 2833741199359
BaseRepresentation
bin1000001111111100110…
…1011001010100000000
3111112210202102012211000
42003333031121110000
54310220441430404
6145034445252000
713144653456330
oct2037715312400
9445722365730
10141720655104
1155115684856
1223571b64000
13104971c0c02
146c05d6d0c0
153a46d05339
hex20ff359500

141720655104 has 576 divisors, whose sum is σ = 494484480000. Its totient is φ = 39196016640.

The previous prime is 141720655081. The next prime is 141720655121. The reversal of 141720655104 is 401556027141.

141720655104 is a `hidden beast` number, since 14 + 1 + 72 + 0 + 65 + 510 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 394764877 + ... + 394765235.

It is an arithmetic number, because the mean of its divisors is an integer number (858480000).

Almost surely, 2141720655104 is an apocalyptic number.

141720655104 is a gapful number since it is divisible by the number (14) 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 141720655104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247242240000).

141720655104 is an abundant number, since it is smaller than the sum of its proper divisors (352763824896).

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

141720655104 is a wasteful number, since it uses less digits than its factorization.

141720655104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 141720655104 in words is "one hundred forty-one billion, seven hundred twenty million, six hundred fifty-five thousand, one hundred four".