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13104030001344 = 263269454755799
BaseRepresentation
bin1011111010110000010100…
…0011011010100011000000
31201101201210101022011002020
42332230011003122203000
53204144023140020334
643511524104321440
72521510036126062
oct276540503324300
951351711264066
1013104030001344
1141a242a350517
121577795173280
13740921392029
1433434a3a9732
1517acec5c0e49
hexbeb050da8c0

13104030001344 has 112 divisors (see below), whose sum is σ = 34808245344000. Its totient is φ = 4350737007616.

The previous prime is 13104030001331. The next prime is 13104030001357. The reversal of 13104030001344 is 44310003040131.

It is an interprime number because it is at equal distance from previous prime (13104030001331) and next prime (13104030001357).

It is a super-2 number, since 2×131040300013442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 234815557 + ... + 234871355.

Almost surely, 213104030001344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13104030001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17404122672000).

13104030001344 is an abundant number, since it is smaller than the sum of its proper divisors (21704215342656).

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

13104030001344 is a wasteful number, since it uses less digits than its factorization.

13104030001344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60630 (or 60620 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13104030001344 its reverse (44310003040131), we get a palindrome (57414033041475).

The spelling of 13104030001344 in words is "thirteen trillion, one hundred four billion, thirty million, one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 269 538 807 1076 1614 2152 3228 4304 4547 6456 8608 9094 12912 13641 17216 18188 25824 27282 36376 51648 54564 55799 72752 109128 111598 145504 167397 218256 223196 291008 334794 436512 446392 669588 873024 892784 1223143 1339176 1785568 2446286 2678352 3571136 3669429 4892572 5356704 7338858 9785144 10713408 14677716 15009931 19570288 29355432 30019862 39140576 45029793 58710864 60039724 78281152 90059586 117421728 120079448 180119172 234843456 240158896 253718053 360238344 480317792 507436106 720476688 761154159 960635584 1014872212 1440953376 1522308318 2029744424 2881906752 3044616636 4059488848 6089233272 8118977696 12178466544 16237955392 24356933088 48713866176 68250156257 136500312514 204750468771 273000625028 409500937542 546001250056 819001875084 1092002500112 1638003750168 2184005000224 3276007500336 4368010000448 6552015000672 13104030001344