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140980694400 = 27345271343139
BaseRepresentation
bin1000001101001100011…
…0101010110110000000
3111110220012001022120000
42003103012222312000
54302212024210100
6144433213320000
713120430062440
oct2032306526600
9443805038500
10140980694400
1154875a21387
12233a6196000
13103a9accb40
146b75992120
153a01d8c900
hex20d31aad80

140980694400 has 1920 divisors, whose sum is σ = 659911929600. Its totient is φ = 28844605440.

The previous prime is 140980694399. The next prime is 140980694419. The reversal of 140980694400 is 4496089041.

140980694400 is a `hidden beast` number, since 140 + 9 + 8 + 0 + 69 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1014249531 + ... + 1014249669.

It is an arithmetic number, because the mean of its divisors is an integer number (343704130).

Almost surely, 2140980694400 is an apocalyptic number.

140980694400 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 140980694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329955964800).

140980694400 is an abundant number, since it is smaller than the sum of its proper divisors (518931235200).

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

140980694400 is a wasteful number, since it uses less digits than its factorization.

140980694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 140980694400 in words is "one hundred forty billion, nine hundred eighty million, six hundred ninety-four thousand, four hundred".