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313440100123540 = 22513292733757433
BaseRepresentation
bin100011101000100100111010…
…1110100111000001110010100
31112002210120200111110211022011
41013101021311310320032110
5312040400311112423130
63030344221045514004
7123010204606541605
oct10721116564701624
91462716614424264
10313440100123540
1190965222175985
122b1a295b412904
13105b8375438900
145758820611dac
15263846a0a252a
hex11d1275d38394

313440100123540 has 36 divisors (see below), whose sum is σ = 712751659637724. Its totient is φ = 115731729275136.

The previous prime is 313440100123517. The next prime is 313440100123543. The reversal of 313440100123540 is 45321001044313.

It can be written as a sum of positive squares in 6 ways, for example, as 42725596936324 + 270714503187216 = 6536482^2 + 16453404^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313440100123543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46366875337 + ... + 46366882096.

It is an arithmetic number, because the mean of its divisors is an integer number (19798657212159).

Almost surely, 2313440100123540 is an apocalyptic number.

It is an amenable number.

313440100123540 is an abundant number, since it is smaller than the sum of its proper divisors (399311559514184).

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

313440100123540 is a wasteful number, since it uses less digits than its factorization.

313440100123540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92733757468 (or 92733757453 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 313440100123540 its reverse (45321001044313), we get a palindrome (358761101167853).

The spelling of 313440100123540 in words is "three hundred thirteen trillion, four hundred forty billion, one hundred million, one hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 92733757433 185467514866 370935029732 463668787165 927337574330 1205538846629 1854675148660 2411077693258 4822155386516 6027694233145 12055388466290 15672005006177 24110776932580 31344010012354 62688020024708 78360025030885 156720050061770 313440100123540