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2431240432120 = 23510314917472267
BaseRepresentation
bin100011011000010001001…
…110001110100111111000
322121102110022210121022101
4203120101032032213320
5304313140022311440
65100521344033144
7340436255461063
oct43302116164770
98542408717271
102431240432120
118580a0929225
123332356027b4
1314835a2473b6
148595bb138da
154339737569a
hex2361138e9f8

2431240432120 has 128 divisors (see below), whose sum is σ = 5566107456000. Its totient is φ = 955621725696.

The previous prime is 2431240432073. The next prime is 2431240432123. The reversal of 2431240432120 is 212340421342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2431240432123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1072447227 + ... + 1072449493.

It is an arithmetic number, because the mean of its divisors is an integer number (43485214500).

Almost surely, 22431240432120 is an apocalyptic number.

2431240432120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2431240432120 is an abundant number, since it is smaller than the sum of its proper divisors (3134867023880).

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

2431240432120 is a wasteful number, since it uses less digits than its factorization.

2431240432120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4277 (or 4273 counting only the distinct ones).

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

Adding to 2431240432120 its reverse (212340421342), we get a palindrome (2643580853462).

The spelling of 2431240432120 in words is "two trillion, four hundred thirty-one billion, two hundred forty million, four hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 103 149 206 298 412 515 596 745 824 1030 1192 1490 1747 2060 2267 2980 3494 4120 4534 5960 6988 8735 9068 11335 13976 15347 17470 18136 22670 30694 34940 45340 61388 69880 76735 90680 122776 153470 179941 233501 260303 306940 337783 359882 467002 520606 613880 675566 719764 899705 934004 1041212 1167505 1301515 1351132 1439528 1688915 1799410 1868008 2082424 2335010 2603030 2702264 3377830 3598820 3960449 4670020 5206060 6755660 7197640 7920898 9340040 10412120 13511320 15841796 19802245 26811209 31683592 34791649 39604490 53622418 69583298 79208980 107244836 134056045 139166596 158417960 173958245 214489672 268112090 278333192 347916490 407926247 536224180 590106901 695832980 815852494 1072448360 1180213802 1391665960 1631704988 2039631235 2360427604 2950534505 3263409976 4079262470 4720855208 5901069010 8158524940 11802138020 16317049880 23604276040 60781010803 121562021606 243124043212 303905054015 486248086424 607810108030 1215620216060 2431240432120