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13414740146672 = 241970969079011
BaseRepresentation
bin1100001100110101110011…
…0100100011100111110000
31202111102210022020221012112
43003031130310203213300
53224241341434143142
644310351353144452
72553116523601064
oct303153464434760
952442708227175
1013414740146672
114302183100497
121607a493bb128
1376400a060227
143453c3ac9aa4
15183e35166382
hexc335cd239f0

13414740146672 has 80 divisors (see below), whose sum is σ = 27404605219200. Its totient is φ = 6343765413120.

The previous prime is 13414740146641. The next prime is 13414740146683. The reversal of 13414740146672 is 27664104741431.

13414740146672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13414740146672.

It is a congruent 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, 1488702647 + ... + 1488711657.

It is an arithmetic number, because the mean of its divisors is an integer number (342557565240).

Almost surely, 213414740146672 is an apocalyptic number.

It is an amenable number.

13414740146672 is an abundant number, since it is smaller than the sum of its proper divisors (13989865072528).

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

13414740146672 is a wasteful number, since it uses less digits than its factorization.

13414740146672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16654 (or 16648 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 50.

The spelling of 13414740146672 in words is "thirteen trillion, four hundred fourteen billion, seven hundred forty million, one hundred forty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 19 38 76 152 304 709 1418 2836 5672 6907 9011 11344 13471 13814 18022 26942 27628 36044 53884 55256 72088 107768 110512 131233 144176 171209 215536 262466 342418 524932 684836 1049864 1369672 2099728 2739344 4897063 6388799 9794126 12777598 19588252 25555196 39176504 51110392 62238977 78353008 93044197 102220784 121387181 124477954 186088394 242774362 248955908 372176788 485548724 497911816 744353576 971097448 995823632 1182540563 1488707152 1942194896 2365081126 4730162252 9460324504 18920649008 44127434693 88254869386 176509738772 353019477544 706038955088 838421259167 1676842518334 3353685036668 6707370073336 13414740146672