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13451282545140 = 22335112172712339
BaseRepresentation
bin1100001110111101111011…
…1010101111100111110100
31202121221010000020010002000
43003233132322233213310
53230341211312421030
644335233415415300
72555552215056666
oct303573672574764
952557100203060
1013451282545140
114316725360300
121612b47384530
137675b199c60b
1434708cdb4536
15184d73318860
hexc3bdeeaf9f4

13451282545140 has 432 divisors, whose sum is σ = 48863731627200. Its totient is φ = 3069094026240.

The previous prime is 13451282545117. The next prime is 13451282545159. The reversal of 13451282545140 is 4154528215431.

13451282545140 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 1 + 2 + 82 + 54 + 514 + 0 = 666.

It is a super-2 number, since 2×134512825451402 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18527091 + ... + 19239429.

Almost surely, 213451282545140 is an apocalyptic number.

13451282545140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13451282545140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24431865813600).

13451282545140 is an abundant number, since it is smaller than the sum of its proper divisors (35412449082060).

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

13451282545140 is a wasteful number, since it uses less digits than its factorization.

13451282545140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712413 (or 712377 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 13451282545140 in words is "thirteen trillion, four hundred fifty-one billion, two hundred eighty-two million, five hundred forty-five thousand, one hundred forty".