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144741721104 = 24323769266689
BaseRepresentation
bin1000011011001101000…
…1110110010000010000
3111211121022002021021100
42012303101312100100
54332412340033404
6150254325224400
713312556221041
oct2066321662020
9454538067240
10144741721104
1156425a23412
1224075862100
131085906cb26
14701129a8c8
153b7215ad39
hex21b3476410

144741721104 has 60 divisors (see below), whose sum is σ = 405184783900. Its totient is φ = 48234258432.

The previous prime is 144741721073. The next prime is 144741721109. The reversal of 144741721104 is 401127147441.

144741721104 is a `hidden beast` number, since 1 + 4 + 474 + 1 + 72 + 110 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 120236949504 + 24504771600 = 346752^2 + 156540^2 .

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

It is not an unprimeable number, because it can be changed into a prime (144741721109) 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, 409392 + ... + 676080.

Almost surely, 2144741721104 is an apocalyptic number.

It is an amenable number.

144741721104 is an abundant number, since it is smaller than the sum of its proper divisors (260443062796).

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

144741721104 is a wasteful number, since it uses less digits than its factorization.

144741721104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270472 (or 270463 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

Adding to 144741721104 its reverse (401127147441), we get a palindrome (545868868545).

The spelling of 144741721104 in words is "one hundred forty-four billion, seven hundred forty-one million, seven hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3769 7538 11307 15076 22614 30152 33921 45228 60304 67842 90456 135684 180912 266689 271368 533378 542736 800067 1066756 1600134 2133512 2400201 3200268 4267024 4800402 6400536 9600804 12801072 19201608 38403216 1005150841 2010301682 3015452523 4020603364 6030905046 8041206728 9046357569 12061810092 16082413456 18092715138 24123620184 36185430276 48247240368 72370860552 144741721104