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32144331340 = 22511172505573
BaseRepresentation
bin11101111011111100…
…111001001001001100
310001222012020012222101
4131323330321021030
51011312422100330
622433352324444
72215365210502
oct357374711114
9101865205871
1032144331340
11126a57009a0
1262910a3724
133053705104
1417ad154672
15c81eeb4ca
hex77bf3924c

32144331340 has 72 divisors (see below), whose sum is σ = 78226453872. Its totient is φ = 11001246720.

The previous prime is 32144331319. The next prime is 32144331379. The reversal of 32144331340 is 4313344123.

It is a junction number, because it is equal to n+sod(n) for n = 32144331299 and 32144331308.

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, 189207 + ... + 316366.

It is an arithmetic number, because the mean of its divisors is an integer number (1086478526).

Almost surely, 232144331340 is an apocalyptic number.

It is an amenable number.

32144331340 is an abundant number, since it is smaller than the sum of its proper divisors (46082122532).

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

32144331340 is a wasteful number, since it uses less digits than its factorization.

32144331340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505627 (or 505608 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 32144331340 its reverse (4313344123), we get a palindrome (36457675463).

The spelling of 32144331340 in words is "thirty-two billion, one hundred forty-four million, three hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 289 340 374 578 748 935 1156 1445 1870 2890 3179 3740 5780 6358 12716 15895 31790 63580 505573 1011146 2022292 2527865 5055730 5561303 8594741 10111460 11122606 17189482 22245212 27806515 34378964 42973705 55613030 85947410 94542151 111226060 146110597 171894820 189084302 292221194 378168604 472710755 584442388 730552985 945421510 1461105970 1607216567 1890843020 2922211940 3214433134 6428866268 8036082835 16072165670 32144331340