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14241965815 = 57111723372557
BaseRepresentation
bin11010100001110001…
…10010011011110111
31100202112202211021101
431100320302123313
5213131420401230
610313114430531
71012633466140
oct152070623367
940675684241
1014241965815
116049244790
122915732447
13145c79a70c
149916a0ac7
155854cbaca
hex350e326f7

14241965815 has 128 divisors (see below), whose sum is σ = 24187465728. Its totient is φ = 7773511680.

The previous prime is 14241965813. The next prime is 14241965827. The reversal of 14241965815 is 51856914241.

It is not a de Polignac number, because 14241965815 - 21 = 14241965813 is a prime.

It is a super-2 number, since 2×142419658152 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14241965813) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 5568517 + ... + 5571073.

It is an arithmetic number, because the mean of its divisors is an integer number (188964576).

Almost surely, 214241965815 is an apocalyptic number.

14241965815 is a deficient number, since it is larger than the sum of its proper divisors (9945499913).

14241965815 is a wasteful number, since it uses less digits than its factorization.

14241965815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657.

The product of its digits is 345600, while the sum is 46.

The spelling of 14241965815 in words is "fourteen billion, two hundred forty-one million, nine hundred sixty-five thousand, eight hundred fifteen".

Divisors: 1 5 7 11 17 23 35 37 55 77 85 115 119 161 185 187 253 259 385 391 407 595 629 805 851 935 1265 1295 1309 1771 1955 2035 2557 2737 2849 3145 4255 4301 4403 5957 6545 6919 8855 9361 12785 13685 14245 14467 17899 21505 22015 28127 29785 30107 34595 43469 46805 48433 58811 65527 72335 89495 94609 101269 140635 150535 159137 196889 217345 242165 294055 304283 327635 411677 473045 478159 506345 646921 662263 795685 984445 999787 1040699 1113959 1521415 1608353 2058385 2176007 2390795 3234605 3311315 3347113 4528447 4998935 5203495 5569795 6998509 7284893 8041765 10880035 10997657 11258471 15232049 16735565 17691883 22642235 23936077 34992545 36424465 36992119 54988285 56292355 76160245 76983599 88459415 119680385 123843181 167552539 184960595 258944833 384917995 406913309 619215905 837762695 1294724165 2034566545 2848393163 14241965815