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1314113232 = 243472412417
BaseRepresentation
bin100111001010011…
…1100011011010000
310101120201212110110
41032110330123100
510142403110412
6334222001320
744364530625
oct11624743320
93346655413
101314113232
116148677a3
12308116240
1317c339ac3
14c675634c
157a57bd3c
hex4e53c6d0

1314113232 has 80 divisors (see below), whose sum is σ = 3482848512. Its totient is φ = 426762240.

The previous prime is 1314113197. The next prime is 1314113267. The reversal of 1314113232 is 2323114131.

It is an interprime number because it is at equal distance from previous prime (1314113197) and next prime (1314113267).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1314113199 and 1314113208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 542488 + ... + 544904.

Almost surely, 21314113232 is an apocalyptic number.

1314113232 is a gapful number since it is divisible by the number (12) 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 1314113232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741424256).

1314113232 is an abundant number, since it is smaller than the sum of its proper divisors (2168735280).

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

1314113232 is a wasteful number, since it uses less digits than its factorization.

1314113232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716 (or 2710 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 1314113232 is about 36250.6997449704. The cubic root of 1314113232 is about 1095.3281841925.

Adding to 1314113232 its reverse (2323114131), we get a palindrome (3637227363).

The spelling of 1314113232 in words is "one billion, three hundred fourteen million, one hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 241 282 376 482 564 723 752 964 1128 1446 1928 2256 2417 2892 3856 4834 5784 7251 9668 11327 11568 14502 19336 22654 29004 33981 38672 45308 58008 67962 90616 113599 116016 135924 181232 227198 271848 340797 454396 543696 582497 681594 908792 1164994 1363188 1747491 1817584 2329988 2726376 3494982 4659976 5452752 6989964 9319952 13979928 27377359 27959856 54754718 82132077 109509436 164264154 219018872 328528308 438037744 657056616 1314113232