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20414400435315 = 3251732622273659
BaseRepresentation
bin1001010010001000110010…
…00101100001010001110011
32200021121010122222210012200
410221010121011201101303
510133432143002412230
6111230125053354243
74204614605425215
oct451043105412163
980247118883180
1020414400435315
116560775930647
122358545498983
13b510ba195703
145080c2b725b5
1525605ab10160
hex129119161473

20414400435315 has 24 divisors (see below), whose sum is σ = 35589498113520. Its totient is φ = 10824745660224.

The previous prime is 20414400435311. The next prime is 20414400435343. The reversal of 20414400435315 is 51353400441402.

20414400435315 is a `hidden beast` number, since 2 + 0 + 41 + 4 + 40 + 0 + 43 + 531 + 5 = 666.

It is not a de Polignac number, because 20414400435315 - 22 = 20414400435311 is a prime.

It is a super-2 number, since 2×204144004353152 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20414400435315.

It is not an unprimeable number, because it can be changed into a prime (20414400435311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1311129045 + ... + 1311144614.

It is an arithmetic number, because the mean of its divisors is an integer number (1482895754730).

Almost surely, 220414400435315 is an apocalyptic number.

20414400435315 is a deficient number, since it is larger than the sum of its proper divisors (15175097678205).

20414400435315 is a wasteful number, since it uses less digits than its factorization.

20414400435315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622273843 (or 2622273840 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 20414400435315 its reverse (51353400441402), we get a palindrome (71767800876717).

The spelling of 20414400435315 in words is "twenty trillion, four hundred fourteen billion, four hundred million, four hundred thirty-five thousand, three hundred fifteen".

Divisors: 1 3 5 9 15 45 173 519 865 1557 2595 7785 2622273659 7866820977 13111368295 23600462931 39334104885 118002314655 453653343007 1360960029021 2268266715035 4082880087063 6804800145105 20414400435315