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32243342112 = 253412439561
BaseRepresentation
bin11110000001110110…
…100101101100100000
310002020002112111020000
4132001312211230200
51012013243421422
622451250420000
72221006612602
oct360166455440
9102202474200
1032243342112
1112746587183
1262ba291600
13306b090577
1417bc369172
15c8aa57cac
hex781da5b20

32243342112 has 60 divisors (see below), whose sum is σ = 94826781126. Its totient is φ = 10747779840.

The previous prime is 32243342099. The next prime is 32243342129. The reversal of 32243342112 is 21124334223.

32243342112 is a `hidden beast` number, since 3 + 224 + 3 + 3 + 421 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22872327696 + 9371014416 = 151236^2 + 96804^2 .

It is a super-2 number, since 2×322433421122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6217189 + ... + 6222372.

Almost surely, 232243342112 is an apocalyptic number.

32243342112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32243342112 is an abundant number, since it is smaller than the sum of its proper divisors (62583439014).

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

32243342112 is a wasteful number, since it uses less digits than its factorization.

32243342112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12439583 (or 12439566 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 32243342112 its reverse (21124334223), we get a palindrome (53367676335).

The spelling of 32243342112 in words is "thirty-two billion, two hundred forty-three million, three hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 12439561 24879122 37318683 49758244 74637366 99516488 111956049 149274732 199032976 223912098 298549464 335868147 398065952 447824196 597098928 671736294 895648392 1007604441 1194197856 1343472588 1791296784 2015208882 2686945176 3582593568 4030417764 5373890352 8060835528 10747780704 16121671056 32243342112