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32142420420 = 223511232117419
BaseRepresentation
bin11101111011110101…
…100110100111000100
310001222001122010200120
4131323311212213010
51011311424423140
622433243341540
72215343031345
oct357365464704
9101861563616
1032142420420
11126a4616220
1262905218b0
1330531b63a6
1417acbb80cc
15c81c701d0
hex77bd669c4

32142420420 has 96 divisors (see below), whose sum is σ = 102449249280. Its totient is φ = 7453311360.

The previous prime is 32142420389. The next prime is 32142420451. The reversal of 32142420420 is 2402424123.

It is an interprime number because it is at equal distance from previous prime (32142420389) and next prime (32142420451).

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, 1043530 + ... + 1073889.

It is an arithmetic number, because the mean of its divisors is an integer number (1067179680).

Almost surely, 232142420420 is an apocalyptic number.

32142420420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32142420420 is an abundant number, since it is smaller than the sum of its proper divisors (70306828860).

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

32142420420 is a wasteful number, since it uses less digits than its factorization.

32142420420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117465 (or 2117463 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 32142420420 its reverse (2402424123), we get a palindrome (34544844543).

The spelling of 32142420420 in words is "thirty-two billion, one hundred forty-two million, four hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 3036 3795 5060 7590 15180 2117419 4234838 6352257 8469676 10587095 12704514 21174190 23291609 25409028 31761285 42348380 46583218 48700637 63522570 69874827 93166436 97401274 116458045 127045140 139749654 146101911 194802548 232916090 243503185 279499308 292203822 349374135 465832180 487006370 535707007 584407644 698748270 730509555 974012740 1071414014 1397496540 1461019110 1607121021 2142828028 2678535035 2922038220 3214242042 5357070070 6428484084 8035605105 10714140140 16071210210 32142420420