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144079328664 = 233586092
BaseRepresentation
bin1000011000101111001…
…1000001010110011000
3111202220010200020200000
42012023303001112120
54330033302004124
6150104504013000
713260264041535
oct2061363012630
9452803606600
10144079328664
1156116030147
1223b0ba61160
1310781a6a33b
146d8b311d8c
153b33e166c9
hex218bcc1598

144079328664 has 72 divisors (see below), whose sum is σ = 404714260860. Its totient is φ = 48020864256.

The previous prime is 144079328611. The next prime is 144079328669. The reversal of 144079328664 is 466823970441.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

144079328664 is a `hidden beast` number, since 14 + 407 + 93 + 2 + 86 + 64 = 666.

144079328664 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 144079328664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144079328669) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16731592 + ... + 16740200.

Almost surely, 2144079328664 is an apocalyptic number.

It is an amenable number.

144079328664 is an abundant number, since it is smaller than the sum of its proper divisors (260634932196).

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

144079328664 is an frugal number, since it uses more digits than its factorization.

144079328664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17239 (or 8614 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

Multiplying 144079328664 by its sum of digits (54), we get a square (7780283747856 = 27893162).

144079328664 divided by its sum of digits (54) gives a square (2668135716 = 516542).

The spelling of 144079328664 in words is "one hundred forty-four billion, seventy-nine million, three hundred twenty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 8609 17218 25827 34436 51654 68872 77481 103308 154962 206616 232443 309924 464886 619848 697329 929772 1394658 1859544 2091987 2789316 4183974 5578632 8367948 16735896 74114881 148229762 222344643 296459524 444689286 592919048 667033929 889378572 1334067858 1778757144 2001101787 2668135716 4002203574 5336271432 6003305361 8004407148 12006610722 16008814296 18009916083 24013221444 36019832166 48026442888 72039664332 144079328664