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32344114112 = 264153232571
BaseRepresentation
bin11110000111110111…
…000000001111000000
310002111010011020102022
4132013313000033000
51012220043122422
622505250341012
72223342301532
oct360767001700
9102433136368
1032344114112
1112798455722
126327b8a768
133085c1457b
1417cb8bb852
15c94811342
hex787dc03c0

32344114112 has 56 divisors (see below), whose sum is σ = 66989108592. Its totient is φ = 15479859200.

The previous prime is 32344114109. The next prime is 32344114123. The reversal of 32344114112 is 21141144323.

It is a super-2 number, since 2×323441141122 (a number of 22 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 7 ways as a sum of consecutive naturals, for example, 22787 + ... + 255357.

It is an arithmetic number, because the mean of its divisors is an integer number (1196234082).

Almost surely, 232344114112 is an apocalyptic number.

32344114112 is a gapful number since it is divisible by the number (32) 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 32344114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33494554296).

32344114112 is an abundant number, since it is smaller than the sum of its proper divisors (34644994480).

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

32344114112 is a wasteful number, since it uses less digits than its factorization.

32344114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232677 (or 232667 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

Adding to 32344114112 its reverse (21141144323), we get a palindrome (53485258435).

The spelling of 32344114112 in words is "thirty-two billion, three hundred forty-four million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 41 53 64 82 106 164 212 328 424 656 848 1312 1696 2173 2624 3392 4346 8692 17384 34768 69536 139072 232571 465142 930284 1860568 3721136 7442272 9535411 12326263 14884544 19070822 24652526 38141644 49305052 76283288 98610104 152566576 197220208 305133152 394440416 505376783 610266304 788880832 1010753566 2021507132 4043014264 8086028528 16172057056 32344114112