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420522540240 = 243511971642153
BaseRepresentation
bin1100001111010010001…
…10001011110011010000
31111012102221100102200210
412013221012023303100
523342212232241430
6521104013244120
742244640420565
oct6075106136320
91435387312623
10420522540240
11152385013660
1269600193640
133086936078a
14164d3a2a86c
15ae134812b0
hex61e918bcd0

420522540240 has 160 divisors (see below), whose sum is σ = 1436792789376. Its totient is φ = 100893818880.

The previous prime is 420522540233. The next prime is 420522540247. The reversal of 420522540240 is 42045225024.

It is an interprime number because it is at equal distance from previous prime (420522540233) and next prime (420522540247).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 420522540198 and 420522540207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420522540247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 564997 + ... + 1077156.

Almost surely, 2420522540240 is an apocalyptic number.

420522540240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420522540240 is an abundant number, since it is smaller than the sum of its proper divisors (1016270249136).

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

420522540240 is a wasteful number, since it uses less digits than its factorization.

420522540240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642277 (or 1642271 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

Adding to 420522540240 its reverse (42045225024), we get a palindrome (462567765264).

The spelling of 420522540240 in words is "four hundred twenty billion, five hundred twenty-two million, five hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 97 110 120 132 165 176 194 220 240 264 291 330 388 440 485 528 582 660 776 880 970 1067 1164 1320 1455 1552 1940 2134 2328 2640 2910 3201 3880 4268 4656 5335 5820 6402 7760 8536 10670 11640 12804 16005 17072 21340 23280 25608 32010 42680 51216 64020 85360 128040 256080 1642153 3284306 4926459 6568612 8210765 9852918 13137224 16421530 18063683 19705836 24632295 26274448 32843060 36127366 39411672 49264590 54191049 65686120 72254732 78823344 90318415 98529180 108382098 131372240 144509464 159288841 180636830 197058360 216764196 270955245 289018928 318577682 361273660 394116720 433528392 477866523 541910490 637155364 722547320 796444205 867056784 955733046 1083820980 1274310728 1445094640 1592888410 1752177251 1911466092 2167641960 2389332615 2548621456 3185776820 3504354502 3822932184 4335283920 4778665230 5256531753 6371553640 7008709004 7645864368 8760886255 9557330460 10513063506 12743107280 14017418008 17521772510 19114660920 21026127012 26282658765 28034836016 35043545020 38229321840 42052254024 52565317530 70087090040 84104508048 105130635060 140174180080 210261270120 420522540240