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2431134444112 = 241150930019043
BaseRepresentation
bin100011011000001010111…
…001111010101001010000
322121102011221100212002121
4203120022321322221100
5304312430404202422
65100503040224024
7340433530546123
oct43301271725120
98542157325077
102431134444112
11858047017930
1233320600b014
131483412b81ba
148594ba043ba
154338cddb8c7
hex2360ae7aa50

2431134444112 has 80 divisors (see below), whose sum is σ = 5150914695360. Its totient is φ = 1102400640000.

The previous prime is 2431134444083. The next prime is 2431134444121. The reversal of 2431134444112 is 2114444311342.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 268837063 + ... + 268846105.

It is an arithmetic number, because the mean of its divisors is an integer number (64386433692).

Almost surely, 22431134444112 is an apocalyptic number.

2431134444112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2431134444112 is an abundant number, since it is smaller than the sum of its proper divisors (2719780251248).

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

2431134444112 is a wasteful number, since it uses less digits than its factorization.

2431134444112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12572 (or 12566 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

Adding to 2431134444112 its reverse (2114444311342), we get a palindrome (4545578755454).

It can be divided in two parts, 243113 and 4444112, that added together give a square (4687225 = 21652).

The spelling of 2431134444112 in words is "two trillion, four hundred thirty-one billion, one hundred thirty-four million, four hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 176 509 1018 2036 3001 4072 5599 6002 8144 9043 11198 12004 18086 22396 24008 33011 36172 44792 48016 66022 72344 89584 99473 132044 144688 198946 264088 397892 528176 795784 1527509 1591568 3055018 4602887 6110036 9205774 12220072 16802599 18411548 24440144 27138043 33605198 36823096 50631757 54276086 67210396 73646192 101263514 108552172 134420792 202527028 217104344 268841584 298518473 405054056 434208688 597036946 810108112 1194073892 2388147784 4776295568 13813263887 27626527774 55253055548 110506111096 151945902757 221012222192 303891805514 607783611028 1215567222056 2431134444112