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20042022020040 = 23325304118307229
BaseRepresentation
bin1001000111010011001011…
…00110100110001111001000
32121221222221222022022012100
410203221211212212033020
510111332030114120130
6110343102223513400
74135662663215556
oct443514546461710
977858858268170
1020042022020040
116427856a32719
1222b8340758860
13b24c54250357
144d40791b6bd6
1524b51412ec60
hex123a659a63c8

20042022020040 has 96 divisors (see below), whose sum is σ = 65157994582200. Its totient is φ = 5342781419520.

The previous prime is 20042022020029. The next prime is 20042022020113. The reversal of 20042022020040 is 4002022024002.

20042022020040 is a `hidden beast` number, since 2 + 0 + 0 + 420 + 2 + 2 + 0 + 200 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19344673434564 + 697348585476 = 4398258^2 + 835074^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20042022019995 and 20042022020022.

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, 8058855 + ... + 10248374.

Almost surely, 220042022020040 is an apocalyptic number.

20042022020040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20042022020040 is an abundant number, since it is smaller than the sum of its proper divisors (45115972562160).

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

20042022020040 is a wasteful number, since it uses less digits than its factorization.

20042022020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18310287 (or 18310280 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 20042022020040 its reverse (4002022024002), we get a palindrome (24044044044042).

The spelling of 20042022020040 in words is "twenty trillion, forty-two billion, twenty-two million, twenty thousand, 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 3041 6082 9123 12164 15205 18246 24328 27369 30410 36492 45615 54738 60820 72984 91230 109476 121640 136845 182460 218952 273690 364920 547380 1094760 18307229 36614458 54921687 73228916 91536145 109843374 146457832 164765061 183072290 219686748 274608435 329530122 366144580 439373496 549216870 659060244 732289160 823825305 1098433740 1318120488 1647650610 2196867480 3295301220 6590602440 55672283389 111344566778 167016850167 222689133556 278361416945 334033700334 445378267112 501050550501 556722833890 668067400668 835084250835 1002101101002 1113445667780 1336134801336 1670168501670 2004202202004 2226891335560 2505252752505 3340337003340 4008404404008 5010505505010 6680674006680 10021011010020 20042022020040