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14129626455 = 3257237972447
BaseRepresentation
bin11010010100011000…
…01111110101010111
31100110201101101122100
431022030033311113
5212414141021310
610254022533143
71010100562140
oct151214176527
940421341570
1014129626455
115aa089553a
1228a3b971b3
131442426619
149807baac7
1557a6daec0
hex34a30fd57

14129626455 has 96 divisors (see below), whose sum is σ = 29255675904. Its totient is φ = 6168146688.

The previous prime is 14129626411. The next prime is 14129626487. The reversal of 14129626455 is 55462692141.

14129626455 is a `hidden beast` number, since 1 + 4 + 12 + 9 + 626 + 4 + 5 + 5 = 666.

It is not a de Polignac number, because 14129626455 - 219 = 14129102167 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 14129626455.

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 95 ways as a sum of consecutive naturals, for example, 5773042 + ... + 5775488.

It is an arithmetic number, because the mean of its divisors is an integer number (304746624).

Almost surely, 214129626455 is an apocalyptic number.

14129626455 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14129626455 is an abundant number, since it is smaller than the sum of its proper divisors (15126049449).

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

14129626455 is a wasteful number, since it uses less digits than its factorization.

14129626455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3285 (or 3282 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

It can be divided in two parts, 14129626 and 455, that added together give a square (14130081 = 37592).

The spelling of 14129626455 in words is "fourteen billion, one hundred twenty-nine million, six hundred twenty-six thousand, four hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 207 315 345 483 797 805 1035 1449 2391 2415 2447 3985 5579 7173 7245 7341 11955 12235 16737 17129 18331 22023 27895 35865 36705 50211 51387 54993 56281 83685 85645 91655 110115 128317 154161 164979 168843 251055 256935 274965 281405 384951 393967 506529 641585 770805 824895 844215 1154853 1181901 1924755 1950259 1969835 2532645 3545703 5774265 5850777 5909505 9751295 13651813 17552331 17728515 29253885 40955439 44855957 68259065 87761655 122866317 134567871 204777195 224279785 313991699 403703613 614331585 672839355 941975097 1569958495 2018518065 2825925291 4709875485 14129626455