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20144489365014 = 2376179307324199
BaseRepresentation
bin1001001010010010000010…
…01000011111111000010110
32122022210110002200202110020
410211021001020133320112
510120021403234140024
6110502130050410010
74146251140245630
oct445110110377026
978283402622406
1020144489365014
1164672590985a3
122314178890906
13b31803c97921
144d8dd9bc7a50
1524e00ec94979
hex12524121fe16

20144489365014 has 128 divisors (see below), whose sum is σ = 47546290176000. Its totient is φ = 5571329662080.

The previous prime is 20144489365009. The next prime is 20144489365061. The reversal of 20144489365014 is 41056398444102.

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 61974087 + ... + 62298285.

It is an arithmetic number, because the mean of its divisors is an integer number (371455392000).

Almost surely, 220144489365014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20144489365014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23773145088000).

20144489365014 is an abundant number, since it is smaller than the sum of its proper divisors (27401800810986).

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

20144489365014 is a wasteful number, since it uses less digits than its factorization.

20144489365014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324658.

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 20144489365014 in words is "twenty trillion, one hundred forty-four billion, four hundred eighty-nine million, three hundred sixty-five thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 42 61 79 122 158 183 237 307 366 427 474 553 614 854 921 1106 1281 1659 1842 2149 2562 3318 4298 4819 6447 9638 12894 14457 18727 24253 28914 33733 37454 48506 56181 67466 72759 101199 112362 131089 145518 169771 202398 262178 324199 339542 393267 509313 648398 786534 972597 1018626 1479433 1945194 2269393 2958866 4438299 4538786 6808179 8876598 10356031 13616358 19776139 20712062 25611721 31068093 39552278 51223442 59328417 62136186 76835163 99529093 118656834 138432973 153670326 179282047 199058186 276865946 298587279 358564094 415298919 537846141 597174558 696703651 830597838 1075692282 1393407302 1562314981 2090110953 3124629962 4180221906 4686944943 6071274673 7862798347 9373889886 10936204867 12142549346 15725596694 18213824019 21872409734 23588395041 32808614601 36427648038 42498922711 47176790082 55039588429 65617229202 84997845422 110079176858 127496768133 165118765287 254993536266 330237530574 479630699167 959261398334 1438892097501 2877784195002 3357414894169 6714829788338 10072244682507 20144489365014