Search a number
-
+
13431032301240 = 23325831387332401
BaseRepresentation
bin1100001101110010011111…
…1010001100011010111000
31202112222211201211010201200
43003130213322030122320
53230023223232114430
644322044150414200
72554234333614021
oct303344772143270
952488751733650
1013431032301240
114309083651344
12160b035661360
137657054c8288
143460cb78bc48
1518458a61b460
hexc3727e8c6b8

13431032301240 has 192 divisors, whose sum is σ = 44181316801440. Its totient is φ = 3538092441600.

The previous prime is 13431032301139. The next prime is 13431032301263. The reversal of 13431032301240 is 4210323013431.

It is a happy number.

13431032301240 is a `hidden beast` number, since 1 + 3 + 4 + 310 + 3 + 2 + 301 + 2 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 414509040 + ... + 414541440.

Almost surely, 213431032301240 is an apocalyptic number.

13431032301240 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 13431032301240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22090658400720).

13431032301240 is an abundant number, since it is smaller than the sum of its proper divisors (30750284500200).

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

13431032301240 is a wasteful number, since it uses less digits than its factorization.

13431032301240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46374 (or 46367 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13431032301240 its reverse (4210323013431), we get a palindrome (17641355314671).

The spelling of 13431032301240 in words is "thirteen trillion, four hundred thirty-one billion, thirty-two million, three hundred one thousand, two hundred forty".