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442885760143320 = 2335131066192662763
BaseRepresentation
bin110010010110011010110000…
…0011010001100111111011000
32011002010110120010000101120110
41210230311200122030333120
5431022220014044041240
64205534524234124320
7162200304001341504
oct14454654032147730
92132113503011513
10442885760143320
1111913188365824a
124180a288b806a0
1316017c42926280
147b51adc6c7304
15363071d142c80
hex192cd6068cfd8

442885760143320 has 128 divisors (see below), whose sum is σ = 1430875644307200. Its totient is φ = 109016969823744.

The previous prime is 442885760143261. The next prime is 442885760143451. The reversal of 442885760143320 is 23341067588244.

It is a happy number.

It is a super-2 number, since 2×4428857601433202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164994259 + ... + 167657021.

It is an arithmetic number, because the mean of its divisors is an integer number (11178715971150).

Almost surely, 2442885760143320 is an apocalyptic number.

442885760143320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442885760143320 is an abundant number, since it is smaller than the sum of its proper divisors (987989884163880).

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

442885760143320 is a wasteful number, since it uses less digits than its factorization.

442885760143320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769409 (or 2769405 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 57.

The spelling of 442885760143320 in words is "four hundred forty-two trillion, eight hundred eighty-five billion, seven hundred sixty million, one hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 106619 213238 319857 426476 533095 639714 852952 1066190 1279428 1386047 1599285 2132380 2558856 2662763 2772094 3198570 4158141 4264760 5325526 5544188 6397140 6930235 7988289 8316282 10651052 11088376 12794280 13313815 13860470 15976578 16632564 20790705 21302104 26627630 27720940 31953156 33265128 34615919 39941445 41581410 53255260 55441880 63906312 69231838 79882890 83162820 103847757 106510520 138463676 159765780 166325640 173079595 207695514 276927352 319531560 346159190 415391028 519238785 692318380 830782056 1038477570 1384636760 2076955140 4153910280 283901128297 567802256594 851703384891 1135604513188 1419505641485 1703406769782 2271209026376 2839011282970 3406813539564 3690714667861 4258516924455 5678022565940 6813627079128 7381429335722 8517033848910 11072144003583 11356045131880 14762858671444 17034067697820 18453573339305 22144288007166 29525717342888 34068135395640 36907146678610 44288576014332 55360720017915 73814293357220 88577152028664 110721440035830 147628586714440 221442880071660 442885760143320