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13411414301040 = 2432572660994901
BaseRepresentation
bin1100001100101001011010…
…0101011101100101110000
31202111010012112002110200200
43003022112211131211300
53224213034030113130
644305041344515200
72552641230432120
oct303122645354560
952433175073620
1013411414301040
114300826813438
12160727b61bb00
137638c9ccbb32
1434518a102c80
15183cdd1aa760
hexc329695d970

13411414301040 has 120 divisors (see below), whose sum is σ = 51474285384288. Its totient is φ = 3065466124800.

The previous prime is 13411414301027. The next prime is 13411414301093. The reversal of 13411414301040 is 4010341411431.

13411414301040 is a `hidden beast` number, since 1 + 3 + 41 + 141 + 430 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 13411414300995 and 13411414301013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1330492411 + ... + 1330502490.

Almost surely, 213411414301040 is an apocalyptic number.

13411414301040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13411414301040 is an abundant number, since it is smaller than the sum of its proper divisors (38062871083248).

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

13411414301040 is a wasteful number, since it uses less digits than its factorization.

13411414301040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2660994927 (or 2660994918 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13411414301040 its reverse (4010341411431), we get a palindrome (17421755712471).

The spelling of 13411414301040 in words is "thirteen trillion, four hundred eleven billion, four hundred fourteen million, three hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 2660994901 5321989802 7982984703 10643979604 13304974505 15965969406 18626964307 21287959208 23948954109 26609949010 31931938812 37253928614 39914923515 42575918416 47897908218 53219898020 55880892921 63863877624 74507857228 79829847030 93134821535 95795816436 106439796040 111761785842 119744770545 127727755248 149015714456 159659694060 167642678763 186269643070 191591632872 212879592080 223523571684 239489541090 279404464605 298031428912 319319388120 335285357526 372539286140 383183265744 447047143368 478979082180 558808929210 638638776240 670570715052 745078572280 838213393815 894094286736 957958164360 1117617858420 1341141430104 1490157144560 1676426787630 1915916328720 2235235716840 2682282860208 3352853575260 4470471433680 6705707150520 13411414301040