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140891321700 = 2233524110191249
BaseRepresentation
bin1000001100110111000…
…1101111010101100100
3111110122221212201021000
42003031301233111210
54302021134243300
6144420301553300
713115263321563
oct2031561572544
9443587781230
10140891321700
115482a529348
1223380275830
131039443a59c
146b67b69bda
1539e90d6c00
hex20cdc6f564

140891321700 has 288 divisors, whose sum is σ = 464814000000. Its totient is φ = 36589363200.

The previous prime is 140891321687. The next prime is 140891321707. The reversal of 140891321700 is 7123198041.

It is a happy number.

140891321700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (140891321707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112802676 + ... + 112803924.

It is an arithmetic number, because the mean of its divisors is an integer number (1613937500).

Almost surely, 2140891321700 is an apocalyptic number.

140891321700 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 140891321700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232407000000).

140891321700 is an abundant number, since it is smaller than the sum of its proper divisors (323922678300).

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

140891321700 is a wasteful number, since it uses less digits than its factorization.

140891321700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 140891321700 in words is "one hundred forty billion, eight hundred ninety-one million, three hundred twenty-one thousand, seven hundred".