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153239744112 = 243713231263331
BaseRepresentation
bin1000111010110111001…
…1001110111001110000
3112122112112121120022020
42032231303032321300
510002313333302422
6154221455311440
714033265222240
oct2165563167160
9478475546266
10153239744112
1159a96927924
122584781b580
13115b1825200
1475b9b63b20
153ebd22d95c
hex23adccee70

153239744112 has 480 divisors, whose sum is σ = 509160554496. Its totient is φ = 38844748800.

The previous prime is 153239744107. The next prime is 153239744123. The reversal of 153239744112 is 211447932351.

It is a super-2 number, since 2×1532397441122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 462959787 + ... + 462960117.

Almost surely, 2153239744112 is an apocalyptic number.

153239744112 is a gapful number since it is divisible by the number (12) 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 153239744112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254580277248).

153239744112 is an abundant number, since it is smaller than the sum of its proper divisors (355920810384).

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

153239744112 is a wasteful number, since it uses less digits than its factorization.

153239744112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 650 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The spelling of 153239744112 in words is "one hundred fifty-three billion, two hundred thirty-nine million, seven hundred forty-four thousand, one hundred twelve".