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13124142403040 = 25588792475637
BaseRepresentation
bin1011111011111011001111…
…0110001000110111100000
31201110122201001100000110202
42332332303312020313200
53210011220423344130
643525051531044332
72523121324536524
oct276766366106740
951418631300422
1013124142403040
1141aaa102715a9
12157b6688a06a8
137427a8133236
143352d758dd84
1517b5c8141145
hexbefb3d88de0

13124142403040 has 48 divisors (see below), whose sum is σ = 31040742553632. Its totient is φ = 5243738463744.

The previous prime is 13124142402971. The next prime is 13124142403049. The reversal of 13124142403040 is 4030424142131.

It is a super-3 number, since 3×131241424030403 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 13124142402994 and 13124142403012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13124142403049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46095899 + ... + 46379738.

It is an arithmetic number, because the mean of its divisors is an integer number (646682136534).

Almost surely, 213124142403040 is an apocalyptic number.

13124142403040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13124142403040 is an abundant number, since it is smaller than the sum of its proper divisors (17916600150592).

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

13124142403040 is an equidigital number, since it uses as much as digits as its factorization.

13124142403040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92476539 (or 92476531 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 13124142403040 its reverse (4030424142131), we get a palindrome (17154566545171).

The spelling of 13124142403040 in words is "thirteen trillion, one hundred twenty-four billion, one hundred forty-two million, four hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 887 1774 3548 4435 7096 8870 14192 17740 28384 35480 70960 141920 92475637 184951274 369902548 462378185 739805096 924756370 1479610192 1849512740 2959220384 3699025480 7398050960 14796101920 82025890019 164051780038 328103560076 410129450095 656207120152 820258900190 1312414240304 1640517800380 2624828480608 3281035600760 6562071201520 13124142403040