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32331013140 = 22351577274721
BaseRepresentation
bin11110000111000101…
…000001110000010100
310002110012111122021010
4132013011001300110
51012203214410030
622504101452220
72223123035346
oct360705016024
9102405448233
1032331013140
1112791017778
126323711070
1330832a840a
1417c9c6b296
15c935c46b0
hex787141c14

32331013140 has 96 divisors (see below), whose sum is σ = 91248079104. Its totient is φ = 8553093120.

The previous prime is 32331013133. The next prime is 32331013207. The reversal of 32331013140 is 4131013323.

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, 6845980 + ... + 6850700.

It is an arithmetic number, because the mean of its divisors is an integer number (950500824).

Almost surely, 232331013140 is an apocalyptic number.

32331013140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32331013140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45624039552).

32331013140 is an abundant number, since it is smaller than the sum of its proper divisors (58917065964).

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

32331013140 is a wasteful number, since it uses less digits than its factorization.

32331013140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5617 (or 5615 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 32331013140 its reverse (4131013323), we get a palindrome (36462026463).

The spelling of 32331013140 in words is "thirty-two billion, three hundred thirty-one million, thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 314 471 628 727 785 942 1454 1570 1884 2181 2355 2908 3140 3635 4362 4710 4721 7270 8724 9420 9442 10905 14163 14540 18884 21810 23605 28326 43620 47210 56652 70815 94420 114139 141630 228278 283260 342417 456556 570695 684834 741197 1141390 1369668 1482394 1712085 2223591 2282780 2964788 3424170 3432167 3705985 4447182 6848340 6864334 7411970 8894364 10296501 11117955 13728668 14823940 17160835 20593002 22235910 34321670 41186004 44471820 51482505 68643340 102965010 205930020 538850219 1077700438 1616550657 2155400876 2694251095 3233101314 5388502190 6466202628 8082753285 10777004380 16165506570 32331013140