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13430514100440 = 2335859130292143
BaseRepresentation
bin1100001101110000100100…
…0001011010100011011000
31202112221111121201210212110
43003130021001122203120
53230021143102203230
644321520515512320
72554215442153353
oct303341101324330
952487447653773
1013430514100440
114308938093418
12160ab0bbb86a0
1376565203c998
1434607ca1929a
15184559daa4b0
hexc370905a8d8

13430514100440 has 64 divisors (see below), whose sum is σ = 40338447782400. Its totient is φ = 3577301050752.

The previous prime is 13430514100427. The next prime is 13430514100501. The reversal of 13430514100440 is 4400141503431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13430514100398 and 13430514100407.

It is a congruent number.

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, 65042992 + ... + 65249151.

It is an arithmetic number, because the mean of its divisors is an integer number (630288246600).

Almost surely, 213430514100440 is an apocalyptic number.

13430514100440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13430514100440 is an abundant number, since it is smaller than the sum of its proper divisors (26907933681960).

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

13430514100440 is a wasteful number, since it uses less digits than its factorization.

13430514100440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130293016 (or 130293012 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 13430514100440 its reverse (4400141503431), we get a palindrome (17830655603871).

The spelling of 13430514100440 in words is "thirteen trillion, four hundred thirty billion, five hundred fourteen million, one hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 859 1718 2577 3436 4295 5154 6872 8590 10308 12885 17180 20616 25770 34360 51540 103080 130292143 260584286 390876429 521168572 651460715 781752858 1042337144 1302921430 1563505716 1954382145 2605842860 3127011432 3908764290 5211685720 7817528580 15635057160 111920950837 223841901674 335762852511 447683803348 559604754185 671525705022 895367606696 1119209508370 1343051410044 1678814262555 2238419016740 2686102820088 3357628525110 4476838033480 6715257050220 13430514100440