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123407461537140 = 223511243596700147
BaseRepresentation
bin11100000011110100001001…
…111010000101010101110100
3121011221122020011211001002210
4130003310021322011111310
5112133401440123142030
61114244334415133420
734664615640311664
oct3403641172052564
9534848204731083
10123407461537140
11363598a08a2600
1211a11239214270
1353b23733a9c31
142268d4b0a81a4
15e401a0878bb0
hex703d09e85574

123407461537140 has 288 divisors, whose sum is σ = 395229402247680. Its totient is φ = 28725937954560.

The previous prime is 123407461537117. The next prime is 123407461537219. The reversal of 123407461537140 is 41735164704321.

It is a self number, because there is not a number n which added to its sum of digits gives 123407461537140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15068547 + ... + 21768693.

It is an arithmetic number, because the mean of its divisors is an integer number (1372324313360).

Almost surely, 2123407461537140 is an apocalyptic number.

123407461537140 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 123407461537140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197614701123840).

123407461537140 is an abundant number, since it is smaller than the sum of its proper divisors (271821940710540).

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

123407461537140 is a wasteful number, since it uses less digits than its factorization.

123407461537140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6700283 (or 6700270 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 123407461537140 in words is "one hundred twenty-three trillion, four hundred seven billion, four hundred sixty-one million, five hundred thirty-seven thousand, one hundred forty".