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144124424325 = 32527109839519
BaseRepresentation
bin1000011000111001111…
…1000011000010000101
3111210000021112100021200
42012032133003002011
54330131323034300
6150113154333113
713261352252010
oct2061637030205
9453007470250
10144124424325
1156139531192
1223b22b8a199
131078b1c936b
146d932d0377
153b37d73200
hex218e7c3085

144124424325 has 72 divisors (see below), whose sum is σ = 297727372800. Its totient is φ = 65280919680.

The previous prime is 144124424303. The next prime is 144124424407. The reversal of 144124424325 is 523424421441.

144124424325 is a `hidden beast` number, since 144 + 12 + 442 + 43 + 25 = 666.

It is not a de Polignac number, because 144124424325 - 214 = 144124407941 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144124424325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 248085 + ... + 591434.

It is an arithmetic number, because the mean of its divisors is an integer number (4135102400).

Almost surely, 2144124424325 is an apocalyptic number.

144124424325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144124424325 is an abundant number, since it is smaller than the sum of its proper divisors (153602948475).

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

144124424325 is a wasteful number, since it uses less digits than its factorization.

144124424325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839651 (or 839643 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

Adding to 144124424325 its reverse (523424421441), we get a palindrome (667548845766).

The spelling of 144124424325 in words is "one hundred forty-four billion, one hundred twenty-four million, four hundred twenty-four thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 109 175 225 315 327 525 545 763 981 1575 1635 2289 2725 3815 4905 6867 8175 11445 19075 24525 34335 57225 171675 839519 2518557 4197595 5876633 7555671 12592785 17629899 20987975 29383165 37778355 52889697 62963925 88149495 91507571 146915825 188891775 264448485 274522713 440747475 457537855 640552997 823568139 1322242425 1372613565 1921658991 2287689275 3202764985 4117840695 5764976973 6863067825 9608294955 16013824925 20589203475 28824884865 48041474775 144124424325