Search a number
-
+
2431130021424 = 2432131996526033
BaseRepresentation
bin100011011000001010101…
…001000010111000110000
322121102011122001011022100
4203120022221002320300
5304312423241141144
65100502401340400
7340433445136026
oct43301251027060
98542148034270
102431130021424
11858044577015
12333204637700
131483403ca120
148594b1b2716
154338c816269
hex2360aa42e30

2431130021424 has 120 divisors (see below), whose sum is σ = 7363976765600. Its totient is φ = 744280897536.

The previous prime is 2431130021399. The next prime is 2431130021431. The reversal of 2431130021424 is 4241200311342.

2431130021424 is a `hidden beast` number, since 2 + 4 + 311 + 300 + 2 + 1 + 42 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2890489 + ... + 3635544.

Almost surely, 22431130021424 is an apocalyptic number.

2431130021424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2431130021424 is an abundant number, since it is smaller than the sum of its proper divisors (4932846744176).

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

2431130021424 is a wasteful number, since it uses less digits than its factorization.

2431130021424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6526259 (or 6526250 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2431130021424 its reverse (4241200311342), we get a palindrome (6672330332766).

The spelling of 2431130021424 in words is "two trillion, four hundred thirty-one billion, one hundred thirty million, twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 199 208 234 312 398 468 597 624 796 936 1194 1592 1791 1872 2388 2587 3184 3582 4776 5174 7164 7761 9552 10348 14328 15522 20696 23283 28656 31044 41392 46566 62088 93132 124176 186264 372528 6526033 13052066 19578099 26104132 39156198 52208264 58734297 78312396 84838429 104416528 117468594 156624792 169676858 234937188 254515287 313249584 339353716 469874376 509030574 678707432 763545861 939748752 1018061148 1298680567 1357414864 1527091722 2036122296 2597361134 3054183444 3896041701 4072244592 5194722268 6108366888 7792083402 10389444536 11688125103 12216733776 15584166804 16882847371 20778889072 23376250206 31168333608 33765694742 46752500412 50648542113 62336667216 67531389484 93505000824 101297084226 135062778968 151945626339 187010001648 202594168452 270125557936 303891252678 405188336904 607782505356 810376673808 1215565010712 2431130021424