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313241441224144 = 241719136163445141
BaseRepresentation
bin100011100111001000011010…
…0110101010100010111010000
31112002002120220121201002222111
41013032100310311110113100
5312024121432423133034
63030113044224115104
7122656642632006106
oct10716206465242720
91462076817632874
10313241441224144
1190898a49424494
122b170358a65a94
13105a2705c151b4
14574cd766adc76
1526331de73b364
hex11ce434d545d0

313241441224144 has 80 divisors (see below), whose sum is σ = 676433438614080. Its totient is φ = 139648095774720.

The previous prime is 313241441224111. The next prime is 313241441224181. The reversal of 313241441224144 is 441422144142313.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 313241441224097 and 313241441224106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703467814 + ... + 703912954.

It is an arithmetic number, because the mean of its divisors is an integer number (8455417982676).

Almost surely, 2313241441224144 is an apocalyptic number.

313241441224144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

313241441224144 is an abundant number, since it is smaller than the sum of its proper divisors (363191997389936).

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

313241441224144 is a wasteful number, since it uses less digits than its factorization.

313241441224144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581348 (or 581342 counting only the distinct ones).

The product of its digits is 294912, while the sum is 40.

Adding to 313241441224144 its reverse (441422144142313), we get a palindrome (754663585366457).

The spelling of 313241441224144 in words is "three hundred thirteen trillion, two hundred forty-one billion, four hundred forty-one million, two hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 272 304 323 646 1292 2584 5168 136163 272326 445141 544652 890282 1089304 1780564 2178608 2314771 2587097 3561128 4629542 5174194 7122256 7567397 8457679 9259084 10348388 15134794 16915358 18518168 20696776 30269588 33830716 37036336 41393552 43980649 60539176 67661432 87961298 121078352 135322864 143780543 175922596 287561086 351845192 575122172 703690384 1150244344 2300488688 60611733983 121223467966 242446935932 484893871864 969787743728 1030399477711 1151622945677 2060798955422 2303245891354 4121597910844 4606491782708 8243195821688 9212983565416 16486391643376 18425967130832 19577590076509 39155180153018 78310360306036 156620720612072 313241441224144