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144545134510304 = 2511508549807473
BaseRepresentation
bin100000110111011010001001…
…011001011000000011100000
3200221210101020221200122021122
4200313122021121120003200
5122421211413413312204
61231231041301311412
742306020116134263
oct4067321131300340
9627711227618248
10144545134510304
114206927a1689a0
1214265995105568
1362867173a2718
14279a043cd4cda
1511a9e3d7380be
hex8376896580e0

144545134510304 has 48 divisors (see below), whose sum is σ = 310444522441200. Its totient is φ = 65702123304960.

The previous prime is 144545134510267. The next prime is 144545134510351. The reversal of 144545134510304 is 403015431545441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178605512 + ... + 179412984.

It is an arithmetic number, because the mean of its divisors is an integer number (6467594217525).

Almost surely, 2144545134510304 is an apocalyptic number.

It is an amenable number.

144545134510304 is an abundant number, since it is smaller than the sum of its proper divisors (165899387930896).

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

144545134510304 is a wasteful number, since it uses less digits than its factorization.

144545134510304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316043 (or 1316035 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 44.

The spelling of 144545134510304 in words is "one hundred forty-four trillion, five hundred forty-five billion, one hundred thirty-four million, five hundred ten thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 508549 807473 1017098 1614946 2034196 3229892 4068392 5594039 6459784 8136784 8882203 11188078 12919568 16273568 17764406 22376156 25839136 35528812 44752312 71057624 89504624 142115248 179009248 284230496 410639586677 821279173354 1642558346708 3285116693416 4517035453447 6570233386832 9034070906894 13140466773664 18068141813788 36136283627576 72272567255152 144545134510304