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144320152430016 = 26322271103770133
BaseRepresentation
bin100000110100001000100111…
…011010110110010111000000
3200220222212112120012210012100
4200310020213122312113000
5122404020133010230031
61230535432430430400
742253533626042043
oct4064104732662700
9626885476183170
10144320152430016
1141a919186a0052
121422a267062400
13626b441482624
14278d1bddb2c5a
1511a4171e80de6
hex8342276b65c0

144320152430016 has 84 divisors (see below), whose sum is σ = 415489984001352. Its totient is φ = 47894793567744.

The previous prime is 144320152430011. The next prime is 144320152430053. The reversal of 144320152430016 is 610034251023441.

144320152430016 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 201 + 5 + 2 + 430 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144320152430011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 551754315 + ... + 552015818.

Almost surely, 2144320152430016 is an apocalyptic number.

144320152430016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144320152430016 is an abundant number, since it is smaller than the sum of its proper divisors (271169831571336).

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

144320152430016 is a wasteful number, since it uses less digits than its factorization.

144320152430016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103770378 (or 1103770365 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 144320152430016 in words is "one hundred forty-four trillion, three hundred twenty billion, one hundred fifty-two million, four hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 227 288 454 576 681 908 1362 1816 2043 2724 3632 4086 5448 7264 8172 10896 14528 16344 21792 32688 43584 65376 130752 1103770133 2207540266 3311310399 4415080532 6622620798 8830161064 9933931197 13245241596 17660322128 19867862394 26490483192 35320644256 39735724788 52980966384 70641288512 79471449576 105961932768 158942899152 211923865536 250555820191 317885798304 501111640382 635771596608 751667460573 1002223280764 1503334921146 2004446561528 2255002381719 3006669842292 4008893123056 4510004763438 6013339684584 8017786246112 9020009526876 12026679369168 16035572492224 18040019053752 24053358738336 36080038107504 48106717476672 72160076215008 144320152430016