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144513134123304 = 23379238133200773
BaseRepresentation
bin100000110110111100010110…
…000001100101100100101000
3200221200022122210022112211010
4200312330112001211210220
5122420200344313421204
61231204230050103520
742303505116262332
oct4066742601454450
9627608583275733
10144513134123304
1142056748843571
121425b74427aba0
1362836b775909b
142798689d30452
1511a91b91c1d89
hex836f16065928

144513134123304 has 64 divisors (see below), whose sum is σ = 365871513772800. Its totient is φ = 47559272507136.

The previous prime is 144513134123273. The next prime is 144513134123321. The reversal of 144513134123304 is 403321431315441.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43549062 + ... + 46749834.

It is an arithmetic number, because the mean of its divisors is an integer number (5716742402700).

Almost surely, 2144513134123304 is an apocalyptic number.

It is an amenable number.

144513134123304 is an abundant number, since it is smaller than the sum of its proper divisors (221358379649496).

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

144513134123304 is a wasteful number, since it uses less digits than its factorization.

144513134123304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224674 (or 3224670 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

Adding to 144513134123304 its reverse (403321431315441), we get a palindrome (547834565438745).

The spelling of 144513134123304 in words is "one hundred forty-four trillion, five hundred thirteen billion, one hundred thirty-four million, one hundred twenty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 79 158 237 316 474 632 948 1896 23813 47626 71439 95252 142878 190504 285756 571512 1881227 3200773 3762454 5643681 6401546 7524908 9602319 11287362 12803092 15049816 19204638 22574724 25606184 38409276 45149448 76818552 252861067 505722134 758583201 1011444268 1517166402 2022888536 3034332804 6068665608 76220007449 152440014898 228660022347 304880029796 457320044694 609760059592 914640089388 1829280178776 6021380588471 12042761176942 18064141765413 24085522353884 36128283530826 48171044707768 72256567061652 144513134123304