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422322125323540 = 225137572609822433
BaseRepresentation
bin110000000000110011000100…
…0010000101011110100010100
32001101022121020001012101120011
41200001212020100223310110
5420323311203040323130
64054112034521450004
7154645523651356261
oct14001461020536424
92041277201171504
10422322125323540
11112623897914872
123b448a35340904
1315185a619b5770
1476406ddb3c268
1533c587ac8752a
hex180198842bd14

422322125323540 has 96 divisors (see below), whose sum is σ = 956727142428960. Its totient is φ = 155668455161856.

The previous prime is 422322125323537. The next prime is 422322125323577. The reversal of 422322125323540 is 45323521223224.

It can be written as a sum of positive squares in 16 ways, for example, as 270440853547396 + 151881271776144 = 16445086^2 + 12324012^2 .

It is a junction number, because it is equal to n+sod(n) for n = 422322125323493 and 422322125323502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 513092164 + ... + 513914596.

It is an arithmetic number, because the mean of its divisors is an integer number (9965907733635).

Almost surely, 2422322125323540 is an apocalyptic number.

It is an amenable number.

422322125323540 is an abundant number, since it is smaller than the sum of its proper divisors (534405017105420).

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

422322125323540 is a wasteful number, since it uses less digits than its factorization.

422322125323540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825821 (or 825819 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

Adding to 422322125323540 its reverse (45323521223224), we get a palindrome (467645646546764).

The spelling of 422322125323540 in words is "four hundred twenty-two trillion, three hundred twenty-two billion, one hundred twenty-five million, three hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 757 1514 2609 3028 3785 5218 7570 9841 10436 13045 15140 19682 26090 33917 39364 49205 52180 67834 98410 135668 169585 196820 339170 678340 822433 1644866 1975013 3289732 3950026 4112165 7900052 8224330 9875065 10691629 16448660 19750130 21383258 25675169 39500260 42766516 51350338 53458145 102700676 106916290 128375845 213832580 256751690 513503380 622581781 1245163562 2145727697 2490327124 3112908905 4291455394 6225817810 8093563153 8582910788 10728638485 12451635620 16187126306 21457276970 27894460061 32374252612 40467815765 42914553940 55788920122 80935631530 111577840244 139472300305 161871263060 278944600610 557889201220 1624315866629 3248631733258 6497263466516 8121579333145 16243158666290 21116106266177 32486317332580 42232212532354 84464425064708 105580531330885 211161062661770 422322125323540