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42035021521020 = 223251122793523387
BaseRepresentation
bin10011000111011000010101…
…00001101010000001111100
312111211111201220221110111200
421203230022201222001330
521002200211002133040
6225222342230015500
711565634006420443
oct1143541241520174
9174744656843450
1042035021521020
1112436a52885a60
12486a8037a7590
131a5bb68649328
14a54712277d5a
154cd6625cb630
hex263b0a86a07c

42035021521020 has 144 divisors (see below), whose sum is σ = 139710474304128. Its totient is φ = 10145416913280.

The previous prime is 42035021520977. The next prime is 42035021521021. The reversal of 42035021521020 is 2012512053024.

42035021521020 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 502 + 1 + 52 + 102 + 0 = 666.

It is a super-2 number, since 2×420350215210202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42035021521021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46312234 + ... + 47211153.

It is an arithmetic number, because the mean of its divisors is an integer number (970211627112).

Almost surely, 242035021521020 is an apocalyptic number.

It is an amenable number.

42035021521020 is an abundant number, since it is smaller than the sum of its proper divisors (97675452783108).

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

42035021521020 is a wasteful number, since it uses less digits than its factorization.

42035021521020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93523640 (or 93523635 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 42035021521020 its reverse (2012512053024), we get a palindrome (44047533574044).

The spelling of 42035021521020 in words is "forty-two trillion, thirty-five billion, twenty-one million, five hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 227 330 396 454 495 660 681 908 990 1135 1362 1980 2043 2270 2497 2724 3405 4086 4540 4994 6810 7491 8172 9988 10215 12485 13620 14982 20430 22473 24970 29964 37455 40860 44946 49940 74910 89892 112365 149820 224730 449460 93523387 187046774 280570161 374093548 467616935 561140322 841710483 935233870 1028757257 1122280644 1402850805 1683420966 1870467740 2057514514 2805701610 3086271771 3366841932 4115029028 4208552415 5143786285 5611403220 6172543542 8417104830 9258815313 10287572570 12345087084 15431358855 16834209660 18517630626 20575145140 21229808849 30862717710 37035261252 42459617698 46294076565 61725435420 63689426547 84919235396 92588153130 106149044245 127378853094 185176306260 191068279641 212298088490 233527897339 254757706188 318447132735 382136559282 424596176980 467055794678 636894265470 700583692017 764273118564 934111589356 955341398205 1167639486695 1273788530940 1401167384034 1910682796410 2101751076051 2335278973390 2802334768068 3502918460085 3821365592820 4203502152102 4670557946780 7005836920170 8407004304204 10508755380255 14011673840340 21017510760510 42035021521020