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13123404244000 = 255317318964457
BaseRepresentation
bin1011111011111000011111…
…0110010010010000100000
31201110120210121100122122001
42332332013312102100200
53210003212441302000
643524450401453344
72523064122355411
oct276760766222040
951416717318561
1013123404244000
1141aa671629806
12157b4a1641254
137426bb22323b
14335267521808
1517b58343246a
hexbef87d92420

13123404244000 has 96 divisors (see below), whose sum is σ = 32430588620976. Its totient is φ = 5219018291200.

The previous prime is 13123404243923. The next prime is 13123404244001. The reversal of 13123404244000 is 44240432131.

13123404244000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 268626597264 + 12854777646736 = 518292^2 + 3585356^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13123404244000.

It is not an unprimeable number, because it can be changed into a prime (13123404244001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8790229 + ... + 10174228.

Almost surely, 213123404244000 is an apocalyptic number.

13123404244000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13123404244000 is an abundant number, since it is smaller than the sum of its proper divisors (19307184376976).

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

13123404244000 is a wasteful number, since it uses less digits than its factorization.

13123404244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18964655 (or 18964637 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 13123404244000 its reverse (44240432131), we get a palindrome (13167644676131).

The spelling of 13123404244000 in words is "thirteen trillion, one hundred twenty-three billion, four hundred four million, two hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 173 200 250 346 400 500 692 800 865 1000 1384 1730 2000 2768 3460 4000 4325 5536 6920 8650 13840 17300 21625 27680 34600 43250 69200 86500 138400 173000 346000 692000 18964457 37928914 75857828 94822285 151715656 189644570 303431312 379289140 474111425 606862624 758578280 948222850 1517156560 1896445700 2370557125 3034313120 3280851061 3792891400 4741114250 6561702122 7585782800 9482228500 13123404244 15171565600 16404255305 18964457000 26246808488 32808510610 37928914000 52493616976 65617021220 75857828000 82021276525 104987233952 131234042440 164042553050 262468084880 328085106100 410106382625 524936169760 656170212200 820212765250 1312340424400 1640425530500 2624680848800 3280851061000 6561702122000 13123404244000