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312203032144344 = 2332112292117198017
BaseRepresentation
bin100011011111100100110111…
…0110101000010100111011000
31111221102022121002211021020100
41012333021232311002213120
5311410113302212104334
63024000032025455400
7122521632115321425
oct10677115665024730
91457368532737210
10312203032144344
1190528620590440
122b023057941560
1310528809371103
1457149c90a8d4c
1526161b5ee6c99
hex11bf26ed429d8

312203032144344 has 96 divisors (see below), whose sum is σ = 922458346514640. Its totient is φ = 94602846412800.

The previous prime is 312203032144337. The next prime is 312203032144391. The reversal of 312203032144344 is 443441230302213.

312203032144344 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 0 + 3 + 0 + 3 + 214 + 434 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 312203032144299 and 312203032144308.

It is a congruent number.

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, 9554424 + ... + 26752440.

Almost surely, 2312203032144344 is an apocalyptic number.

It is an amenable number.

312203032144344 is an abundant number, since it is smaller than the sum of its proper divisors (610255314370296).

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

312203032144344 is a wasteful number, since it uses less digits than its factorization.

312203032144344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17220961 (or 17220954 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 312203032144344 its reverse (443441230302213), we get a palindrome (755644262446557).

The spelling of 312203032144344 in words is "three hundred twelve trillion, two hundred three billion, thirty-two million, one hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 22921 45842 68763 91684 137526 183368 206289 252131 275052 412578 504262 550104 756393 825156 1008524 1512786 1650312 2017048 2269179 3025572 4538358 6051144 9076716 17198017 18153432 34396034 51594051 68792068 103188102 137584136 154782153 189178187 206376204 309564306 378356374 412752408 567534561 619128612 756712748 1135069122 1238257224 1513425496 1702603683 2270138244 3405207366 4540276488 6810414732 13620829464 394195747657 788391495314 1182587242971 1576782990628 2365174485942 3153565981256 3547761728913 4336153224227 4730348971884 7095523457826 8672306448454 9460697943768 13008459672681 14191046915652 17344612896908 26016919345362 28382093831304 34689225793816 39025379018043 52033838690724 78050758036086 104067677381448 156101516072172 312203032144344