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2432135446014 = 2317537335917167
BaseRepresentation
bin100011011001000110100…
…100011011110111111110
322121111202200221000120010
4203121012210123313332
5304322003133233024
65101150235204050
7340500404122041
oct43310644336776
98544680830503
102432135446014
1185851006542a
123334452a6626
131484707b6411
1485a04932c58
15433eac19b29
hex2364691bdfe

2432135446014 has 128 divisors (see below), whose sum is σ = 5334594785280. Its totient is φ = 736271437824.

The previous prime is 2432135446001. The next prime is 2432135446043. The reversal of 2432135446014 is 4106445312342.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141666459 + ... + 141683625.

It is an arithmetic number, because the mean of its divisors is an integer number (41676521760).

Almost surely, 22432135446014 is an apocalyptic number.

2432135446014 is an abundant number, since it is smaller than the sum of its proper divisors (2902459339266).

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

2432135446014 is a wasteful number, since it uses less digits than its factorization.

2432135446014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17674.

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 2432135446014 in words is "two trillion, four hundred thirty-two billion, one hundred thirty-five million, four hundred forty-six thousand, fourteen".

Divisors: 1 2 3 6 17 34 51 53 73 102 106 146 159 219 318 359 438 718 901 1077 1241 1802 2154 2482 2703 3723 3869 5406 6103 7446 7738 11607 12206 17167 18309 19027 23214 26207 34334 36618 38054 51501 52414 57081 65773 78621 103002 114162 131546 157242 197319 291839 323459 394638 445519 583678 646918 875517 891038 909851 970377 1253191 1336557 1388971 1751034 1819702 1940754 2506382 2673114 2729553 2777942 3759573 4166913 5459106 6162953 7519146 8333826 12325906 15467467 18488859 21304247 23612507 30934934 36977718 42608494 46402401 47225014 63912741 66419123 70837521 92804802 104770201 127825482 132838246 141675042 199257369 209540402 314310603 326636509 398514738 449895569 628621206 653273018 899791138 979909527 1129125091 1349686707 1959819054 2258250182 2699373414 3387375273 5552820653 6774750546 7648224673 11105641306 15296449346 16658461959 22944674019 23844465157 33316923918 45889348038 47688930314 71533395471 143066790942 405355907669 810711815338 1216067723007 2432135446014