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140801482080 = 2532571929101251
BaseRepresentation
bin1000001100100001101…
…1000001110101100000
3111110102200211101110200
42003020123001311200
54301330134411310
6144403332225200
713113122564520
oct2031033016540
9443380741420
10140801482080
1154793847526
122335616b200
131037b94364c
146b59c61680
1539e128c9c0
hex20c86c1d60

140801482080 has 1152 divisors, whose sum is σ = 606285388800. Its totient is φ = 29030400000.

The previous prime is 140801482069. The next prime is 140801482111. The reversal of 140801482080 is 80284108041.

It is a happy number.

140801482080 is a `hidden beast` number, since 1 + 408 + 0 + 1 + 48 + 208 + 0 = 666.

It is a super-2 number, since 2×1408014820802 (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 560961955 + ... + 560962205.

It is an arithmetic number, because the mean of its divisors is an integer number (526289400).

Almost surely, 2140801482080 is an apocalyptic number.

140801482080 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 140801482080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303142694400).

140801482080 is an abundant number, since it is smaller than the sum of its proper divisors (465483906720).

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

140801482080 is a wasteful number, since it uses less digits than its factorization.

140801482080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 140801482080 in words is "one hundred forty billion, eight hundred one million, four hundred eighty-two thousand, eighty".