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13412014153104 = 2437317125920217
BaseRepresentation
bin1100001100101011101001…
…0101101101110110010000
31202111011202022211010000210
43003022322111231312100
53224220301110344404
644305221053444120
72552662133204010
oct303127225556620
952434668733023
1013412014153104
114301004380146
1216074084a0640
13763994375298
14345205a4bc40
15183d25b99689
hexc32ba56dd90

13412014153104 has 80 divisors (see below), whose sum is σ = 39722288289408. Its totient is φ = 3819915672576.

The previous prime is 13412014153081. The next prime is 13412014153127. The reversal of 13412014153104 is 40135141021431.

It is a happy number.

13412014153104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13412014153081) and next prime (13412014153127).

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, 62853597 + ... + 63066620.

Almost surely, 213412014153104 is an apocalyptic number.

13412014153104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13412014153104 is an abundant number, since it is smaller than the sum of its proper divisors (26310274136304).

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

13412014153104 is a wasteful number, since it uses less digits than its factorization.

13412014153104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125920552 (or 125920546 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 13412014153104 its reverse (40135141021431), we get a palindrome (53547155174535).

The spelling of 13412014153104 in words is "thirteen trillion, four hundred twelve billion, fourteen million, one hundred fifty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 317 336 634 951 1268 1902 2219 2536 3804 4438 5072 6657 7608 8876 13314 15216 17752 26628 35504 53256 106512 125920217 251840434 377760651 503680868 755521302 881441519 1007361736 1511042604 1762883038 2014723472 2644324557 3022085208 3525766076 5288649114 6044170416 7051532152 10577298228 14103064304 21154596456 39916708789 42309192912 79833417578 119750126367 159666835156 239500252734 279416961523 319333670312 479000505468 558833923046 638667340624 838250884569 958001010936 1117667846092 1676501769138 1916002021872 2235335692184 3353003538276 4470671384368 6706007076552 13412014153104