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140889190400 = 212527243653
BaseRepresentation
bin1000001100110110100…
…1100111000000000000
3111110122210212102122222
42003031221213000000
54302020113043100
6144420144150212
713115236234100
oct2031551470000
9443583772588
10140889190400
1154829303042
122337b608368
1310393b7246a
146b67773200
1539e8d15485
hex20cda67000

140889190400 has 468 divisors, whose sum is σ = 416489349672. Its totient is φ = 47109242880.

The previous prime is 140889190313. The next prime is 140889190427. The reversal of 140889190400 is 4091988041.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 215756474 + ... + 215757126.

Almost surely, 2140889190400 is an apocalyptic number.

140889190400 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 140889190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208244674836).

140889190400 is an abundant number, since it is smaller than the sum of its proper divisors (275600159272).

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

140889190400 is an equidigital number, since it uses as much as digits as its factorization.

140889190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 44.

The spelling of 140889190400 in words is "one hundred forty billion, eight hundred eighty-nine million, one hundred ninety thousand, four hundred".