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314023341192 = 23311101139193439
BaseRepresentation
bin1001001000111010011…
…11111110110010001000
31010000112211022120102020
410210131033332302020
520121104433404232
6400132122004440
731454535234111
oct4443517766210
91100484276366
10314023341192
111111a3a98080
1250a39946720
13237c6220932
14112ad773208
15827d8a2e2c
hex491d3fec88

314023341192 has 256 divisors, whose sum is σ = 877637376000. Its totient is φ = 92841984000.

The previous prime is 314023341161. The next prime is 314023341193. The reversal of 314023341192 is 291143320413.

It is a super-2 number, since 2×3140233411922 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (314023341193) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 715314909 + ... + 715315347.

It is an arithmetic number, because the mean of its divisors is an integer number (3428271000).

Almost surely, 2314023341192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314023341192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438818688000).

314023341192 is an abundant number, since it is smaller than the sum of its proper divisors (563614034808).

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

314023341192 is a wasteful number, since it uses less digits than its factorization.

314023341192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

It can be divided in two parts, 3140 and 23341192, that added together give a palindrome (23344332).

The spelling of 314023341192 in words is "three hundred fourteen billion, twenty-three million, three hundred forty-one thousand, one hundred ninety-two".