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12142243432 = 231131101127347
BaseRepresentation
bin10110100111011101…
…11110111001101000
31011100012202212122201
423103232332321220
5144331403242212
65324510225544
7606616236424
oct132356767150
934305685581
1012142243432
115170a86230
12242a4b52b4
1311b6779037
14832887b84
154b0ebbb57
hex2d3bbee68

12142243432 has 128 divisors (see below), whose sum is σ = 26170490880. Its totient is φ = 5231520000.

The previous prime is 12142243429. The next prime is 12142243457. The reversal of 12142243432 is 23434224121.

It is a self number, because there is not a number n which added to its sum of digits gives 12142243432.

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, 34991883 + ... + 34992229.

It is an arithmetic number, because the mean of its divisors is an integer number (204456960).

Almost surely, 212142243432 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 12142243432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13085245440).

12142243432 is an abundant number, since it is smaller than the sum of its proper divisors (14028247448).

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

12142243432 is a wasteful number, since it uses less digits than its factorization.

12142243432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 619 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

Adding to 12142243432 its reverse (23434224121), we get a palindrome (35576467553).

The spelling of 12142243432 in words is "twelve billion, one hundred forty-two million, two hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 31 44 62 88 101 124 127 202 248 254 341 347 404 508 682 694 808 1016 1111 1364 1388 1397 2222 2728 2776 2794 3131 3817 3937 4444 5588 6262 7634 7874 8888 10757 11176 12524 12827 15268 15748 21514 25048 25654 30536 31496 34441 35047 43028 43307 44069 51308 68882 70094 86056 86614 88138 102616 118327 137764 140188 141097 173228 176276 236654 275528 280376 282194 346456 352552 385517 397637 473308 484759 564388 771034 795274 946616 969518 1086457 1128776 1366139 1542068 1590548 1939036 2172914 2732278 3084136 3181096 3878072 4345828 4374007 4450969 5464556 8691656 8748014 8901938 10929112 11951027 15027529 17496028 17803876 23902054 30055058 34992056 35607752 47804108 48960659 60110116 95608216 97921318 120220232 137980039 195842636 275960078 391685272 551920156 1103840312 1517780429 3035560858 6071121716 12142243432