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13350004141040 = 245723839293109
BaseRepresentation
bin1100001001000100101001…
…0000010010101111110000
31202021020200202001010002022
43002101022100102233300
53222211302030003130
644220523544011012
72545335355614560
oct302211220225760
952236622033068
1013350004141040
114287783338296
1215b73a1460a68
1375ab91376858
14342202254da0
151823e6c577e5
hexc244a412bf0

13350004141040 has 40 divisors (see below), whose sum is σ = 35472868147680. Its totient is φ = 4577144276736.

The previous prime is 13350004141031. The next prime is 13350004141051. The reversal of 13350004141040 is 4014140005331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×133500041410402 (a number of 27 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 11919645995 + ... + 11919647114.

It is an arithmetic number, because the mean of its divisors is an integer number (886821703692).

Almost surely, 213350004141040 is an apocalyptic number.

13350004141040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13350004141040 is an abundant number, since it is smaller than the sum of its proper divisors (22122864006640).

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

13350004141040 is a wasteful number, since it uses less digits than its factorization.

13350004141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23839293129 (or 23839293123 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 13350004141040 its reverse (4014140005331), we get a palindrome (17364144146371).

The spelling of 13350004141040 in words is "thirteen trillion, three hundred fifty billion, four million, one hundred forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 23839293109 47678586218 95357172436 119196465545 166875051763 190714344872 238392931090 333750103526 381428689744 476785862180 667500207052 834375258815 953571724360 1335000414104 1668750517630 1907143448720 2670000828208 3337501035260 6675002070520 13350004141040