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13442312232 = 2334293719333
BaseRepresentation
bin11001000010011100…
…10110100000101000
31021200211002012210000
430201032112200220
5210012212442412
610101511223000
7654053524446
oct144116264050
937624065700
1013442312232
115778920158
122731977a60
131362c0940b
149173c5b96
1553a1c24dc
hex321396828

13442312232 has 160 divisors (see below), whose sum is σ = 40003979400. Its totient is φ = 4209117696.

The previous prime is 13442312207. The next prime is 13442312237. The reversal of 13442312232 is 23221324431.

13442312232 is a `hidden beast` number, since 1 + 3 + 4 + 423 + 1 + 2 + 232 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13258601316 + 183710916 = 115146^2 + 13554^2 .

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 a junction number, because it is equal to n+sod(n) for n = 13442312196 and 13442312205.

It is not an unprimeable number, because it can be changed into a prime (13442312237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 685638 + ... + 704970.

Almost surely, 213442312232 is an apocalyptic number.

13442312232 is a gapful number since it is divisible by the number (12) 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 13442312232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20001989700).

13442312232 is an abundant number, since it is smaller than the sum of its proper divisors (26561667168).

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

13442312232 is a wasteful number, since it uses less digits than its factorization.

13442312232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19417 (or 19404 counting only the distinct ones).

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

Adding to 13442312232 its reverse (23221324431), we get a palindrome (36663636663).

The spelling of 13442312232 in words is "thirteen billion, four hundred forty-two million, three hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 37 54 58 72 74 81 87 108 111 116 148 162 174 216 222 232 261 296 324 333 348 444 522 648 666 696 783 888 999 1044 1073 1332 1566 1998 2088 2146 2349 2664 2997 3132 3219 3996 4292 4698 5994 6264 6438 7992 8584 9396 9657 11988 12876 18792 19314 19333 23976 25752 28971 38628 38666 57942 57999 77256 77332 86913 115884 115998 154664 173826 173997 231768 231996 347652 347994 463992 521991 560657 695304 695988 715321 1043982 1121314 1391976 1430642 1565973 1681971 2087964 2145963 2242628 2861284 3131946 3363942 4175928 4291926 4485256 5045913 5722568 6263892 6437889 6727884 8583852 10091826 12527784 12875778 13455768 15137739 17167704 19313667 20183652 20744309 25751556 30275478 38627334 40367304 41488618 45413217 51503112 57941001 60550956 62232927 77254668 82977236 90826434 115882002 121101912 124465854 154509336 165954472 181652868 186698781 231764004 248931708 363305736 373397562 463528008 497863416 560096343 746795124 1120192686 1493590248 1680289029 2240385372 3360578058 4480770744 6721156116 13442312232