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32430314140 = 22572277691327
BaseRepresentation
bin11110001100111111…
…110101001010011100
310002201010100122121221
4132030333311022130
51012404130023030
622522010103124
72225440056550
oct361477651234
9102633318557
1032430314140
1112832081014
126350a1aaa4
13309aa359c3
1417d9119860
15c9c18be7a
hex78cff529c

32430314140 has 96 divisors (see below), whose sum is σ = 78336276480. Its totient is φ = 11047256064.

The previous prime is 32430314117. The next prime is 32430314153. The reversal of 32430314140 is 4141303423.

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, 24438157 + ... + 24439483.

It is an arithmetic number, because the mean of its divisors is an integer number (816002880).

Almost surely, 232430314140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32430314140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39168138240).

32430314140 is an abundant number, since it is smaller than the sum of its proper divisors (45905962340).

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

32430314140 is a wasteful number, since it uses less digits than its factorization.

32430314140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 32430314140 its reverse (4141303423), we get a palindrome (36571617563).

The spelling of 32430314140 in words is "thirty-two billion, four hundred thirty million, three hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 227 454 769 908 1135 1327 1538 1589 2270 2654 3076 3178 3845 4540 5308 5383 6356 6635 7690 7945 9289 10766 13270 15380 15890 18578 21532 26540 26915 31780 37156 46445 53830 92890 107660 174563 185780 301229 349126 602458 698252 872815 1020463 1204916 1221941 1506145 1745630 2040926 2108603 2443882 3012290 3491260 4081852 4217206 4887764 5102315 6024580 6109705 7143241 8434412 10204630 10543015 12219410 14286482 20409260 21086030 24438820 28572964 35716205 42172060 71432410 142864820 231645101 463290202 926580404 1158225505 1621515707 2316451010 3243031414 4632902020 6486062828 8107578535 16215157070 32430314140