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144139521708 = 22367213731063
BaseRepresentation
bin1000011000111101100…
…0101000111010101100
3111210001022221101000000
42012033120220322230
54330144204143313
6150114454104300
713261624501500
oct2061730507254
9453038841000
10144139521708
1156147003066
1223b2804b090
1310791384120
146d95300300
153b39356673
hex218f628eac

144139521708 has 504 divisors, whose sum is σ = 480722490528. Its totient is φ = 37458796032.

The previous prime is 144139521707. The next prime is 144139521751. The reversal of 144139521708 is 807125931441.

144139521708 is a `hidden beast` number, since 1 + 4 + 41 + 395 + 217 + 0 + 8 = 666.

It is a super-2 number, since 2×1441395217082 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144139521707) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 135596385 + ... + 135597447.

Almost surely, 2144139521708 is an apocalyptic number.

144139521708 is a gapful number since it is divisible by the number (18) 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 144139521708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240361245264).

144139521708 is an abundant number, since it is smaller than the sum of its proper divisors (336582968820).

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

144139521708 is a wasteful number, since it uses less digits than its factorization.

144139521708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 144139521708 in words is "one hundred forty-four billion, one hundred thirty-nine million, five hundred twenty-one thousand, seven hundred eight".