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12430312424024 = 23114176419739
BaseRepresentation
bin1011010011100010100001…
…0110110100001001011000
31122000022210211211011100112
42310320220112310021120
53112124234440032044
642234223502423452
72422026505165415
oct264705026641130
948008724734315
1012430312424024
113a62736340000
1214890b2591b88
136c2234050ab1
1430d8b78b510c
1516851aaa809e
hexb4e285b4258

12430312424024 has 160 divisors (see below), whose sum is σ = 27190580418000. Its totient is φ = 5308939468800.

The previous prime is 12430312424021. The next prime is 12430312424027. The reversal of 12430312424024 is 42042421303421.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12430312424021) and next prime (12430312424027).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12430312424021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1276338947 + ... + 1276348685.

Almost surely, 212430312424024 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 12430312424024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13595290209000).

12430312424024 is an abundant number, since it is smaller than the sum of its proper divisors (14760267993976).

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

12430312424024 is an equidigital number, since it uses as much as digits as its factorization.

12430312424024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10447 (or 10410 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 12430312424024 its reverse (42042421303421), we get a palindrome (54472733727445).

The spelling of 12430312424024 in words is "twelve trillion, four hundred thirty billion, three hundred twelve million, four hundred twenty-four thousand, twenty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 187 242 374 484 641 748 968 1282 1331 1496 2057 2564 2662 4114 5128 5324 7051 8228 9739 10648 10897 14102 14641 16456 19478 21794 22627 28204 29282 38956 43588 45254 56408 58564 77561 77912 87176 90508 107129 117128 119867 155122 165563 181016 214258 239734 248897 310244 331126 428516 479468 497794 620488 662252 853171 857032 958936 995588 1178419 1318537 1324504 1706342 1821193 1991176 2356838 2637074 3412684 3642386 4713676 5274148 6242699 6825368 7284772 9384881 9427352 10548296 12485398 12962609 14503907 14569544 18769762 20033123 24970796 25925218 29007814 37539524 40066246 49941592 51850436 58015628 68669689 75079048 80132492 103700872 106125883 116031256 137339378 142588699 159542977 160264984 212251766 220364353 274678756 285177398 319085954 424503532 440728706 549357512 570354796 638171908 755366579 849007064 881457412 1140709592 1167384713 1276343816 1510733158 1762914824 2334769426 2424007883 3021466316 4669538852 4848015766 6042932632 8309032369 9339077704 9696031532 12841231843 16618064738 19392063064 25682463686 33236129476 51364927372 66472258952 91399356059 102729854744 141253550273 182798712118 282507100546 365597424236 565014201092 731194848472 1130028402184 1553789053003 3107578106006 6215156212012 12430312424024