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514010311045 = 571115127133259
BaseRepresentation
bin1110111101011010110…
…01101110100110000101
31211010202021002020220121
413132231121232212011
531410143114423140
61032044424501541
752064440361260
oct7365531564605
91733667066817
10514010311045
11188a99469560
128375101a8b1
1339617929c5a
141ac41c21cd7
15d585b0164a
hex77ad66e985

514010311045 has 64 divisors (see below), whose sum is σ = 774628577280. Its totient is φ = 318085056000.

The previous prime is 514010310977. The next prime is 514010311057. The reversal of 514010311045 is 540113010415.

It is not a de Polignac number, because 514010311045 - 211 = 514010308997 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157718626 + ... + 157721884.

It is an arithmetic number, because the mean of its divisors is an integer number (12103571520).

Almost surely, 2514010311045 is an apocalyptic number.

514010311045 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

514010311045 is a deficient number, since it is larger than the sum of its proper divisors (260618266235).

514010311045 is a wasteful number, since it uses less digits than its factorization.

514010311045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6146.

The product of its (nonzero) digits is 1200, while the sum is 25.

The spelling of 514010311045 in words is "five hundred fourteen billion, ten million, three hundred eleven thousand, forty-five".

Divisors: 1 5 7 11 35 55 77 151 385 755 1057 1661 2713 3259 5285 8305 11627 13565 16295 18991 22813 29843 35849 58135 94955 114065 149215 179245 208901 250943 409663 492109 1044505 1254715 2048315 2460545 2867641 3444763 4506293 5413199 8841667 14338205 17223815 22531465 27065995 31544051 37892393 44208335 61891669 97258337 157720255 189461965 309458345 486291685 680808359 1335091717 3404041795 6675458585 9345642019 14686008887 46728210095 73430044435 102802062209 514010311045