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141401738880 = 27365303073
BaseRepresentation
bin1000001110110000110…
…0110100111010000000
3111111222112022121000000
42003230030310322000
54304042321121010
6144543054000000
713134031643403
oct2035414647200
9444875277000
10141401738880
1154a71660326
12234a31a6000
13104460cc09c
146bb5873d3a
153a28d0b7c0
hex20ec334e80

141401738880 has 224 divisors, whose sum is σ = 506827619460. Its totient is φ = 37707005952.

The previous prime is 141401738879. The next prime is 141401738909. The reversal of 141401738880 is 88837104141.

141401738880 is a `hidden beast` number, since 141 + 40 + 17 + 388 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 138509020224 + 2892718656 = 372168^2 + 53784^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 315024 + ... + 618096.

Almost surely, 2141401738880 is an apocalyptic number.

141401738880 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 141401738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253413809730).

141401738880 is an abundant number, since it is smaller than the sum of its proper divisors (365425880580).

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

141401738880 is an frugal number, since it uses more digits than its factorization.

141401738880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303110 (or 303083 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 141401738880 in words is "one hundred forty-one billion, four hundred one million, seven hundred thirty-eight thousand, eight hundred eighty".