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13145410543120 = 245674917149877
BaseRepresentation
bin1011111101001010011110…
…0001101001111000010000
31201112200121021002110212121
42333102213201221320100
53210333300044334440
643542530201104024
72524503346001032
oct277224741517020
951480537073777
1013145410543120
114208a34607a79
121583803488014
137447b746c3cb
14336354061c52
1517be203a734a
hexbf4a7869e10

13145410543120 has 80 divisors (see below), whose sum is σ = 31020497650368. Its totient is φ = 5179474967040.

The previous prime is 13145410543103. The next prime is 13145410543123. The reversal of 13145410543120 is 2134501454131.

13145410543120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (13145410543123) 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, 263531622 + ... + 263581498.

Almost surely, 213145410543120 is an apocalyptic number.

13145410543120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13145410543120 is an abundant number, since it is smaller than the sum of its proper divisors (17875087107248).

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

13145410543120 is a wasteful number, since it uses less digits than its factorization.

13145410543120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99128 (or 99122 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

Adding to 13145410543120 its reverse (2134501454131), we get a palindrome (15279911997251).

The spelling of 13145410543120 in words is "thirteen trillion, one hundred forty-five billion, four hundred ten million, five hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 49171 49877 98342 99754 196684 199508 245855 249385 393368 399016 491710 498770 786736 798032 983420 997540 1966840 1995080 3294457 3341759 3933680 3990160 6588914 6683518 13177828 13367036 16472285 16708795 26355656 26734072 32944570 33417590 52711312 53468144 65889140 66835180 131778280 133670360 263556560 267340720 2452501967 4905003934 9810007868 12262509835 19620015736 24525019670 39240031472 49050039340 98100078680 164317631789 196200157360 328635263578 657270527156 821588158945 1314541054312 1643176317890 2629082108624 3286352635780 6572705271560 13145410543120