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13132023243040 = 2551313970964063
BaseRepresentation
bin1011111100011000100110…
…0101001010000100100000
31201111102001021112011120201
42333012021211022010200
53210123340422234130
643532433532514544
72523520530554452
oct277061145120440
951442037464521
1013132023243040
114203294851309
1215810a801ba54
13743462a84880
143358440ba2d2
1517b8d9e4ebca
hexbf18994a120

13132023243040 has 192 divisors, whose sum is σ = 33699252787200. Its totient is φ = 4806999281664.

The previous prime is 13132023243029. The next prime is 13132023243103. The reversal of 13132023243040 is 4034232023131.

It is a happy number.

It is a super-3 number, since 3×131320232430403 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204954049 + ... + 205018111.

It is an arithmetic number, because the mean of its divisors is an integer number (175516941600).

Almost surely, 213132023243040 is an apocalyptic number.

13132023243040 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 13132023243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16849626393600).

13132023243040 is an abundant number, since it is smaller than the sum of its proper divisors (20567229544160).

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

13132023243040 is a wasteful number, since it uses less digits than its factorization.

13132023243040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64939 (or 64931 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 13132023243040 its reverse (4034232023131), we get a palindrome (17166255266171).

The spelling of 13132023243040 in words is "thirteen trillion, one hundred thirty-two billion, twenty-three million, two hundred forty-three thousand, forty".