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312841688040 = 233257124143527
BaseRepresentation
bin1001000110101101101…
…00010101001111101000
31002220111110211101000200
410203112310111033220
520111144433004130
6355414551032200
731413336321150
oct4432664251750
91086443741020
10312841688040
11110747a82622
125076a06b660
132366848129b
14111da85b760
15820ec8d760
hex48d6d153e8

312841688040 has 96 divisors (see below), whose sum is σ = 1161983422080. Its totient is φ = 71506670976.

The previous prime is 312841688017. The next prime is 312841688101. The reversal of 312841688040 is 40886148213.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 62069244 + ... + 62074283.

It is an arithmetic number, because the mean of its divisors is an integer number (12103993980).

Almost surely, 2312841688040 is an apocalyptic number.

312841688040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312841688040 is an abundant number, since it is smaller than the sum of its proper divisors (849141734040).

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

312841688040 is a wasteful number, since it uses less digits than its factorization.

312841688040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124143551 (or 124143544 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 312841688040 in words is "three hundred twelve billion, eight hundred forty-one million, six hundred eighty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 124143527 248287054 372430581 496574108 620717635 744861162 869004689 993148216 1117291743 1241435270 1489722324 1738009378 1862152905 2234583486 2482870540 2607014067 2979444648 3476018756 3724305810 4345023445 4469166972 4965741080 5214028134 5586458715 6952037512 7448611620 7821042201 8690046890 8938333944 10428056268 11172917430 13035070335 14897223240 15642084402 17380093780 20856112536 22345834860 26070140670 31284168804 34760187560 39105211005 44691669720 52140281340 62568337608 78210422010 104280562680 156420844020 312841688040