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13541150040 = 23351110258447
BaseRepresentation
bin11001001110001110…
…11000110101011000
31021221201001200202120
430213013120311120
5210213013300130
610115401501240
7656363606355
oct144707306530
937851050676
1013541150040
1158196984a0
12275aaa1820
13137a533c22
1492659362c
15543be7910
hex3271d8d58

13541150040 has 64 divisors (see below), whose sum is σ = 44316495360. Its totient is φ = 3282702720.

The previous prime is 13541150023. The next prime is 13541150059. The reversal of 13541150040 is 4005114531.

It is a happy number.

13541150040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5127904 + ... + 5130543.

It is an arithmetic number, because the mean of its divisors is an integer number (692445240).

Almost surely, 213541150040 is an apocalyptic number.

13541150040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13541150040 is an abundant number, since it is smaller than the sum of its proper divisors (30775345320).

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

13541150040 is a wasteful number, since it uses less digits than its factorization.

13541150040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10258472 (or 10258468 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 13541150040 its reverse (4005114531), we get a palindrome (17546264571).

The spelling of 13541150040 in words is "thirteen billion, five hundred forty-one million, one hundred fifty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 10258447 20516894 30775341 41033788 51292235 61550682 82067576 102584470 112842917 123101364 153876705 205168940 225685834 246202728 307753410 338528751 410337880 451371668 564214585 615506820 677057502 902743336 1128429170 1231013640 1354115004 1692643755 2256858340 2708230008 3385287510 4513716680 6770575020 13541150040