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23431334121140 = 2251129101223163061
BaseRepresentation
bin1010101001111100010000…
…10110001100111010110100
310001222000100221222102121212
411110332020112030322310
511032344333013334030
6121500112320500552
74635600205560611
oct524761026147264
9101860327872555
1023431334121140
11751419a2920a0
12276519647a758
13100c74703aa4a
145b0122a05508
152a9781ccc595
hex154f8858ceb4

23431334121140 has 192 divisors, whose sum is σ = 56331685509120. Its totient is φ = 8108647680000.

The previous prime is 23431334121089. The next prime is 23431334121157. The reversal of 23431334121140 is 4112143313432.

It is a super-3 number, since 3×234313341211403 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23431334121097 and 23431334121106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143615210 + ... + 143778270.

It is an arithmetic number, because the mean of its divisors is an integer number (293394195360).

Almost surely, 223431334121140 is an apocalyptic number.

23431334121140 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 23431334121140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28165842754560).

23431334121140 is an abundant number, since it is smaller than the sum of its proper divisors (32900351387980).

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

23431334121140 is a wasteful number, since it uses less digits than its factorization.

23431334121140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163434 (or 163432 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 23431334121140 its reverse (4112143313432), we get a palindrome (27543477434572).

The spelling of 23431334121140 in words is "twenty-three trillion, four hundred thirty-one billion, three hundred thirty-four million, one hundred twenty-one thousand, one hundred forty".