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141008997360 = 2435721153131157
BaseRepresentation
bin1000001101010011001…
…0101000101111110000
3111110222011022020220210
42003110302220233300
54302241300403420
6144440104104120
713121222462400
oct2032462505760
9443864266823
10141008997360
115488a9a2860
12233b3765040
13103b292c55a
146b7963c800
153a045cd9e0
hex20d4ca8bf0

141008997360 has 960 divisors, whose sum is σ = 573130888704. Its totient is φ = 28346572800.

The previous prime is 141008997319. The next prime is 141008997433. The reversal of 141008997360 is 63799800141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 191 ways as a sum of consecutive naturals, for example, 898146402 + ... + 898146558.

Almost surely, 2141008997360 is an apocalyptic number.

141008997360 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 141008997360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286565444352).

141008997360 is an abundant number, since it is smaller than the sum of its proper divisors (432121891344).

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

141008997360 is a wasteful number, since it uses less digits than its factorization.

141008997360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 141008997360 in words is "one hundred forty-one billion, eight million, nine hundred ninety-seven thousand, three hundred sixty".