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13273023234240 = 26335711109183037
BaseRepresentation
bin1100000100100101110111…
…0101011100000011000000
31201222212222210212212101000
43001021131311130003000
53214431122421443430
644121313120012000
72536641613660140
oct301113565340300
951885883785330
1013273023234240
11425806a652660
1215a4498761000
1375384387ca23
1433c5bc452920
151803dd84ee60
hexc125dd5c0c0

13273023234240 has 896 divisors, whose sum is σ = 58914221414400. Its totient is φ = 2732712837120.

The previous prime is 13273023234227. The next prime is 13273023234293. The reversal of 13273023234240 is 4243232037231.

13273023234240 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 302 + 3 + 2 + 342 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13273023234195 and 13273023234204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72424002 + ... + 72607038.

Almost surely, 213273023234240 is an apocalyptic number.

13273023234240 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 13273023234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29457110707200).

13273023234240 is an abundant number, since it is smaller than the sum of its proper divisors (45641198180160).

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

13273023234240 is a wasteful number, since it uses less digits than its factorization.

13273023234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183190 (or 183174 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The spelling of 13273023234240 in words is "thirteen trillion, two hundred seventy-three billion, twenty-three million, two hundred thirty-four thousand, two hundred forty".