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12344101313304 = 23329169910438951
BaseRepresentation
bin1011001110100001010111…
…0001100001101100011000
31121201002021122101222012210
42303220111301201230120
53104221204414011204
642130445111235120
72412555223634325
oct263502561415430
947632248358183
1012344101313304
113a2a116421572
121474452678aa0
136b70751a5947
14309659c95b4c
151661721a0389
hexb3a15c61b18

12344101313304 has 64 divisors (see below), whose sum is σ = 31943193120000. Its totient is φ = 3970475510400.

The previous prime is 12344101313287. The next prime is 12344101313309. The reversal of 12344101313304 is 40331310144321.

It is a super-2 number, since 2×123441013133042 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12344101313309) 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, 4036972 + ... + 6401979.

It is an arithmetic number, because the mean of its divisors is an integer number (499112392500).

Almost surely, 212344101313304 is an apocalyptic number.

It is an amenable number.

12344101313304 is an abundant number, since it is smaller than the sum of its proper divisors (19599091806696).

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

12344101313304 is a wasteful number, since it uses less digits than its factorization.

12344101313304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10440688 (or 10440684 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 12344101313304 its reverse (40331310144321), we get a palindrome (52675411457625).

The spelling of 12344101313304 in words is "twelve trillion, three hundred forty-four billion, one hundred one million, three hundred thirteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 1699 3398 5097 6796 10194 13592 20388 40776 49271 98542 147813 197084 295626 394168 591252 1182504 10438951 20877902 31316853 41755804 62633706 83511608 125267412 250534824 302729579 605459158 908188737 1210918316 1816377474 2421836632 3632754948 7265509896 17735777749 35471555498 53207333247 70943110996 106414666494 141886221992 212829332988 425658665976 514337554721 1028675109442 1543012664163 2057350218884 3086025328326 4114700437768 6172050656652 12344101313304