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12144351232 = 211133491307
BaseRepresentation
bin10110100111101110…
…00001100000000000
31011100100201222000101
423103313001200000
5144332423214412
65325023332144
7606643165546
oct132367014000
934310658011
1012144351232
115172195912
12242b151054
1311b7036560
14832c75d96
154b1286457
hex2d3dc1800

12144351232 has 96 divisors (see below), whose sum is σ = 26245674000. Its totient is φ = 5584748544.

The previous prime is 12144351227. The next prime is 12144351293. The reversal of 12144351232 is 23215344121.

It is a super-3 number, since 3×121443512323 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12144351232.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9291123 + ... + 9292429.

Almost surely, 212144351232 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 12144351232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13122837000).

12144351232 is an abundant number, since it is smaller than the sum of its proper divisors (14101322768).

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

12144351232 is a wasteful number, since it uses less digits than its factorization.

12144351232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1671 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

Adding to 12144351232 its reverse (23215344121), we get a palindrome (35359695353).

The spelling of 12144351232 in words is "twelve billion, one hundred forty-four million, three hundred fifty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 349 416 512 698 832 1024 1307 1396 1664 2048 2614 2792 3328 4537 5228 5584 6656 9074 10456 11168 13312 16991 18148 20912 22336 26624 33982 36296 41824 44672 67964 72592 83648 89344 135928 145184 167296 178688 271856 290368 334592 357376 456143 543712 580736 669184 714752 912286 1087424 1161472 1338368 1824572 2174848 2322944 2676736 3649144 4349696 4645888 5929859 7298288 8699392 9291776 11859718 14596576 17398784 23719436 29193152 34797568 47438872 58386304 94877744 116772608 189755488 233545216 379510976 467090432 759021952 934180864 1518043904 3036087808 6072175616 12144351232