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420433441322220 = 22345298949200539
BaseRepresentation
bin101111110011000011100100…
…1111010111111010011101100
32001010122001012102001011210000
41133212013021322333103230
5420101340141434302340
64050104242340544300
7154362212420264424
oct13746071172772354
92033561172034700
10420433441322220
11111a65903a49407
123b1a29989b2090
131507991b498341
1475b7131159484
15339168a6a2d30
hex17e61c9ebf4ec

420433441322220 has 120 divisors (see below), whose sum is σ = 1364395114328400. Its totient is φ = 108249529707648.

The previous prime is 420433441322203. The next prime is 420433441322261. The reversal of 420433441322220 is 22223144334024.

420433441322220 is a `hidden beast` number, since 4 + 2 + 0 + 43 + 34 + 41 + 322 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4474553290 + ... + 4474647249.

It is an arithmetic number, because the mean of its divisors is an integer number (11369959286070).

Almost surely, 2420433441322220 is an apocalyptic number.

It is an amenable number.

420433441322220 is an abundant number, since it is smaller than the sum of its proper divisors (943961673006180).

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

420433441322220 is a wasteful number, since it uses less digits than its factorization.

420433441322220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8949200589 (or 8949200578 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 420433441322220 its reverse (22223144334024), we get a palindrome (442656585656244).

The spelling of 420433441322220 in words is "four hundred twenty trillion, four hundred thirty-three billion, four hundred forty-one million, three hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 261 270 290 324 348 405 435 522 540 580 783 810 870 1044 1305 1566 1620 1740 2349 2610 3132 3915 4698 5220 7830 9396 11745 15660 23490 46980 8949200539 17898401078 26847601617 35796802156 44746002695 53695203234 80542804851 89492005390 107390406468 134238008085 161085609702 178984010780 241628414553 259526815631 268476016170 322171219404 402714024255 483256829106 519053631262 536952032340 724885243659 778580446893 805428048510 966513658212 1038107262524 1208142072765 1297634078155 1449770487318 1557160893786 1610856097020 2335741340679 2416284145530 2595268156310 2899540974636 3114321787572 3624426218295 3892902234465 4671482681358 4832568291060 5190536312620 7007224022037 7248852436590 7785804468930 9342965362716 11678706703395 14014448044074 14497704873180 15571608937860 21021672066111 23357413406790 28028896088148 35036120110185 42043344132222 46714826813580 70072240220370 84086688264444 105108360330555 140144480440740 210216720661110 420433441322220