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1314214402344 = 233107511765733
BaseRepresentation
bin10011000111111101010…
…010000101100100101000
311122122012212020220112020
4103013331102011210220
5133013002341333334
62443424115344440
7163643313050544
oct23077522054450
94578185226466
101314214402344
1146739a850048
121928538b2120
1396c11c63bbc
1447873312a24
15242bbca9e49
hex131fd485928

1314214402344 has 32 divisors (see below), whose sum is σ = 3316241956320. Its totient is φ = 433977340736.

The previous prime is 1314214402199. The next prime is 1314214402393. The reversal of 1314214402344 is 4432044124131.

It is a happy number.

It is a super-2 number, since 2×13142144023442 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255880299 + ... + 255885434.

It is an arithmetic number, because the mean of its divisors is an integer number (103632561135).

Almost surely, 21314214402344 is an apocalyptic number.

It is an amenable number.

1314214402344 is an abundant number, since it is smaller than the sum of its proper divisors (2002027553976).

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

1314214402344 is a wasteful number, since it uses less digits than its factorization.

1314214402344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511765849 (or 511765845 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 1314214402344 its reverse (4432044124131), we get a palindrome (5746258526475).

The spelling of 1314214402344 in words is "one trillion, three hundred fourteen billion, two hundred fourteen million, four hundred two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 107 214 321 428 642 856 1284 2568 511765733 1023531466 1535297199 2047062932 3070594398 4094125864 6141188796 12282377592 54758933431 109517866862 164276800293 219035733724 328553600586 438071467448 657107201172 1314214402344