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20414431034202 = 231071392115871847
BaseRepresentation
bin1001010010001000110101…
…11010001111101101011010
32200021121012210120100222210
410221010122322033231122
510133432223321043302
6111230132105255550
74204615426466622
oct451043272175532
980247183510883
1020414431034202
11656079112aa87
1223585537945b6
13b510c361a16a
145080c6c59882
1525605d65666c
hex12911ae8fb5a

20414431034202 has 128 divisors (see below), whose sum is σ = 41797296414720. Its totient is φ = 6646049242560.

The previous prime is 20414431034201. The next prime is 20414431034233. The reversal of 20414431034202 is 20243013441402.

It is a self number, because there is not a number n which added to its sum of digits gives 20414431034202.

It is not an unprimeable number, because it can be changed into a prime (20414431034201) by changing a digit.

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, 11052750043 + ... + 11052751889.

It is an arithmetic number, because the mean of its divisors is an integer number (326541378240).

Almost surely, 220414431034202 is an apocalyptic number.

20414431034202 is an abundant number, since it is smaller than the sum of its proper divisors (21382865380518).

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

20414431034202 is a wasteful number, since it uses less digits than its factorization.

20414431034202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 20414431034202 its reverse (20243013441402), we get a palindrome (40657444475604).

The spelling of 20414431034202 in words is "twenty trillion, four hundred fourteen billion, four hundred thirty-one million, thirty-four thousand, two hundred two".

Divisors: 1 2 3 6 107 139 211 214 278 321 417 422 587 633 642 834 1174 1266 1761 1847 3522 3694 5541 11082 14873 22577 29329 29746 44619 45154 58658 62809 67731 81593 87987 89238 123857 125618 135462 163186 175974 188427 197629 244779 247714 256733 371571 376854 389717 395258 489558 513466 592887 743142 770199 779434 1084189 1169151 1185774 1540398 2168378 2338302 3138203 3252567 6276406 6505134 8730451 9414609 13252699 17216123 17460902 18829218 26191353 26505398 27470431 34432246 39758097 41699719 51648369 52382706 54170663 54940862 79516194 82411293 83399438 103296738 108341326 116008223 125099157 150702271 162511989 164822586 228763879 232016446 250198314 301404542 325023978 348024669 452106813 457527758 686291637 696049338 904213626 1372583274 1842125161 3684250322 5526375483 5796260941 11052750966 11592521882 16125142997 17388782823 24477735053 31798179181 32250285994 34777565646 48375428991 48955470106 63596358362 73433205159 95394537543 96750857982 146866410318 190789075086 3402405172367 6804810344734 10207215517101 20414431034202