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314412103302 = 231117280224691
BaseRepresentation
bin1001001001101000110…
…10111111011010000110
31010001112220211201202220
410210310122333122012
520122403444301202
6400234450313210
731500265532253
oct4446432773206
91101486751686
10314412103302
11111383487880
1250b27b88806
132385892909b
141130925042a
1582a2a96abc
hex49346bf686

314412103302 has 32 divisors (see below), whose sum is σ = 726342401664. Its totient is φ = 89671900800.

The previous prime is 314412103279. The next prime is 314412103309. The reversal of 314412103302 is 203301214413.

It is a happy number.

It is a super-5 number, since 5×3144121033025 (a number of 59 digits) contains 55555 as substring. Note that it is a super-d number also for d = 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314412103309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140111224 + ... + 140113467.

It is an arithmetic number, because the mean of its divisors is an integer number (22698200052).

Almost surely, 2314412103302 is an apocalyptic number.

314412103302 is an abundant number, since it is smaller than the sum of its proper divisors (411930298362).

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

314412103302 is a wasteful number, since it uses less digits than its factorization.

314412103302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280224724.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 314412103302 its reverse (203301214413), we get a palindrome (517713317715).

Subtracting from 314412103302 its reverse (203301214413), we obtain a square (111110888889 = 3333332).

It can be divided in two parts, 314412 and 103302, that added together give a palindrome (417714).

The spelling of 314412103302 in words is "three hundred fourteen billion, four hundred twelve million, one hundred three thousand, three hundred two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1122 280224691 560449382 840674073 1681348146 3082471601 4763819747 6164943202 9247414803 9527639494 14291459241 18494829606 28582918482 52402017217 104804034434 157206051651 314412103302