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431442254105540 = 225592911911255633
BaseRepresentation
bin110001000011001001111101…
…0010011000000101111000100
32002120121110212111111122002122
41202012103322103000233010
5423022222214022334130
64125333500233025112
7156606450154055636
oct14206237223005704
92076543774448078
10431442254105540
1111551a6a5847917
1240480495b55198
1315697aa363ca82
147877cb8cd0a56
1534d2c0a8a72e5
hex18864fa4c0bc4

431442254105540 has 48 divisors (see below), whose sum is σ = 921389050834560. Its totient is φ = 169651151685120.

The previous prime is 431442254105521. The next prime is 431442254105561. The reversal of 431442254105540 is 45501452244134.

It is a super-2 number, since 2×4314422541055402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 431442254105491 and 431442254105500.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342977564 + ... + 344233196.

It is an arithmetic number, because the mean of its divisors is an integer number (19195605225720).

Almost surely, 2431442254105540 is an apocalyptic number.

It is an amenable number.

431442254105540 is an abundant number, since it is smaller than the sum of its proper divisors (489946796729020).

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

431442254105540 is a wasteful number, since it uses less digits than its factorization.

431442254105540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546892 (or 1546890 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 44.

The spelling of 431442254105540 in words is "four hundred thirty-one trillion, four hundred forty-two billion, two hundred fifty-four million, one hundred five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 59 118 236 295 590 1180 291191 582382 1164764 1255633 1455955 2511266 2911910 5022532 5823820 6278165 12556330 17180269 25112660 34360538 68721076 74082347 85901345 148164694 171802690 296329388 343605380 370411735 740823470 1481646940 365629028903 731258057806 1462516115612 1828145144515 3656290289030 7312580578060 21572112705277 43144225410554 86288450821108 107860563526385 215721127052770 431442254105540