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231551431354140 = 2235292969388111549
BaseRepresentation
bin110100101001100001000100…
…110100000010011100011100
31010100212002201101010110011020
4310221201010310002130130
5220322214312411313030
62140245131542524140
766526016216646342
oct6451410464023434
91110762641113136
10231551431354140
1167863457514347
1221b78275a36650
139c2828b290351
1441272130c1992
151bb82b6592510
hexd29844d0271c

231551431354140 has 192 divisors, whose sum is σ = 671157582480000. Its totient is φ = 59577244303360.

The previous prime is 231551431354093. The next prime is 231551431354141. The reversal of 231551431354140 is 41453134155132.

It is a junction number, because it is equal to n+sod(n) for n = 231551431354092 and 231551431354101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231551431354141) 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 63 ways as a sum of consecutive naturals, for example, 20049473086 + ... + 20049484634.

It is an arithmetic number, because the mean of its divisors is an integer number (3495612408750).

Almost surely, 2231551431354140 is an apocalyptic number.

231551431354140 is a gapful number since it is divisible by the number (20) 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 231551431354140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335578791240000).

231551431354140 is an abundant number, since it is smaller than the sum of its proper divisors (439606151125860).

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

231551431354140 is a wasteful number, since it uses less digits than its factorization.

231551431354140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18440 (or 18438 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 231551431354140 in words is "two hundred thirty-one trillion, five hundred fifty-one billion, four hundred thirty-one million, three hundred fifty-four thousand, one hundred forty".