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42404015412 = 2232112329160541
BaseRepresentation
bin100111011111011110…
…011110110100110100
311001110012122011200100
4213133132132310310
51143320411443122
631251413114100
73030545120043
oct473736366464
9131405564610
1042404015412
1116a8aa63440
128275028930
133cca145aa5
1420a399455a
151182aa2aac
hex9df79ed34

42404015412 has 144 divisors (see below), whose sum is σ = 126224542080. Its totient is φ = 11867116800.

The previous prime is 42404015387. The next prime is 42404015419. The reversal of 42404015412 is 21451040424.

42404015412 is a `hidden beast` number, since 4 + 240 + 4 + 0 + 1 + 5 + 412 = 666.

It is a super-2 number, since 2×424040154122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42404015419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183862 + ... + 344402.

It is an arithmetic number, because the mean of its divisors is an integer number (876559320).

Almost surely, 242404015412 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 42404015412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63112271040).

42404015412 is an abundant number, since it is smaller than the sum of its proper divisors (83820526668).

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

42404015412 is a wasteful number, since it uses less digits than its factorization.

42404015412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160614 (or 160609 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 42404015412 its reverse (21451040424), we get a palindrome (63855055836).

The spelling of 42404015412 in words is "forty-two billion, four hundred four million, fifteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 29 33 36 44 46 58 66 69 87 92 99 116 132 138 174 198 207 253 261 276 319 348 396 414 506 522 638 667 759 828 957 1012 1044 1276 1334 1518 1914 2001 2277 2668 2871 3036 3828 4002 4554 5742 6003 7337 8004 9108 11484 12006 14674 22011 24012 29348 44022 66033 88044 132066 160541 264132 321082 481623 642164 963246 1444869 1765951 1926492 2889738 3531902 3692443 4655689 5297853 5779476 7063804 7384886 9311378 10595706 11077329 13967067 14769772 15893559 18622756 21191412 22154658 27934134 31787118 33231987 40616873 41901201 44309316 51212579 55868268 63574236 66463974 81233746 83802402 102425158 107080847 121850619 132927948 153637737 162467492 167604804 204850316 214161694 243701238 307275474 321242541 365551857 428323388 460913211 487402476 614550948 642485082 731103714 921826422 963727623 1177889317 1284970164 1462207428 1843652844 1927455246 2355778634 3533667951 3854910492 4711557268 7067335902 10601003853 14134671804 21202007706 42404015412