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420814233901098 = 232192299832271743
BaseRepresentation
bin101111110101110100111001…
…0111011011001100000101010
32001011222110002111110110100100
41133223221302323121200222
5420124110022334313343
64050555220143250230
7154431553002636222
oct13753516273314052
92034873074413310
10420814233901098
111120a2350483a54
123b24474b5a9976
13150a67c56b3b2b
1475cb7363cd082
15339b525bdd9d3
hex17eba72ed982a

420814233901098 has 144 divisors (see below), whose sum is σ = 996472517713920. Its totient is φ = 128175754601664.

The previous prime is 420814233901081. The next prime is 420814233901123. The reversal of 420814233901098 is 890109332418024.

420814233901098 is a `hidden beast` number, since 4 + 2 + 0 + 8 + 142 + 3 + 390 + 109 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 184102615 + ... + 186374357.

It is an arithmetic number, because the mean of its divisors is an integer number (6919948039680).

Almost surely, 2420814233901098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420814233901098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498236258856960).

420814233901098 is an abundant number, since it is smaller than the sum of its proper divisors (575658283812822).

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

420814233901098 is a wasteful number, since it uses less digits than its factorization.

420814233901098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272801 (or 2272779 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 420814233901098 in words is "four hundred twenty trillion, eight hundred fourteen billion, two hundred thirty-three million, nine hundred one thousand, ninety-eight".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 261 342 361 522 551 722 983 1083 1102 1653 1966 2166 2949 3249 3306 4959 5898 6498 8847 9918 10469 17694 18677 20938 28507 31407 37354 56031 57014 62814 85521 94221 112062 168093 171042 188442 256563 336186 354863 513126 541633 709726 1064589 1083266 1624899 2129178 2271743 3193767 3249798 4543486 4874697 6387534 6815229 9749394 10291027 13630458 20445687 20582054 30873081 40891374 43163117 61746162 65880547 86326234 92619243 129489351 131761094 185238486 197641641 258978702 388468053 395283282 592924923 776936106 820099223 1185849846 1251730393 1640198446 2233123369 2460297669 2503460786 3755191179 4466246738 4920595338 6699370107 7380893007 7510382358 11265573537 13398740214 14761786014 20098110321 22531147074 23782877467 40196220642 42429344011 47565754934 64760577701 71348632401 84858688022 127288032033 129521155402 142697264802 194281733103 214045897203 254576064066 381864096099 388563466206 428091794406 582845199309 763728192198 806157536209 1165690398618 1230450976319 1612315072418 2418472608627 2460901952638 3691352928957 4836945217254 7255417825881 7382705857914 11074058786871 14510835651762 22148117573742 23378568550061 46757137100122 70135705650183 140271411300366 210407116950549 420814233901098