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20042153103240 = 23325155335848453
BaseRepresentation
bin1001000111010011011010…
…11010101000111110001000
32121222000022002222000112200
410203221231122220332020
510111332312143300430
6110343123225240200
74135666144340412
oct443515532507610
977860262860480
1020042153103240
116427913a24444
1222b8378633060
13b24c75457b88
144d408c7799b2
1524b5208c4460
hex123a6d6a8f88

20042153103240 has 96 divisors (see below), whose sum is σ = 65178942093720. Its totient is φ = 5341132560384.

The previous prime is 20042153103223. The next prime is 20042153103281. The reversal of 20042153103240 is 4230135124002.

20042153103240 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 21 + 5 + 310 + 324 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10336597943364 + 9705555159876 = 3215058^2 + 3115374^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17365147 + ... + 18483306.

Almost surely, 220042153103240 is an apocalyptic number.

20042153103240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20042153103240 is an abundant number, since it is smaller than the sum of its proper divisors (45136788990480).

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

20042153103240 is a wasteful number, since it uses less digits than its factorization.

20042153103240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35850023 (or 35850016 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 20042153103240 its reverse (4230135124002), we get a palindrome (24272288227242).

The spelling of 20042153103240 in words is "twenty trillion, forty-two billion, one hundred fifty-three million, one hundred three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1553 3106 4659 6212 7765 9318 12424 13977 15530 18636 23295 27954 31060 37272 46590 55908 62120 69885 93180 111816 139770 186360 279540 559080 35848453 71696906 107545359 143393812 179242265 215090718 286787624 322636077 358484530 430181436 537726795 645272154 716969060 860362872 1075453590 1290544308 1433938120 1613180385 2150907180 2581088616 3226360770 4301814360 6452721540 12905443080 55672647509 111345295018 167017942527 222690590036 278363237545 334035885054 445381180072 501053827581 556726475090 668071770108 835089712635 1002107655162 1113452950180 1336143540216 1670179425270 2004215310324 2226905900360 2505269137905 3340358850540 4008430620648 5010538275810 6680717701080 10021076551620 20042153103240