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1314233313144 = 2331922343128993
BaseRepresentation
bin10011000111111110011…
…010001110011101111000
311122122021011211200021020
4103013332122032131320
5133013022212010034
62443430032542440
7163643632562223
oct23077632163570
94578234750236
101314233313144
114673aa497004
1219285a0b1a20
1396c15b5561b
1447875a365ba
15242bd793249
hex131fe68e778

1314233313144 has 64 divisors (see below), whose sum is σ = 3458690323200. Its totient is φ = 414999254016.

The previous prime is 1314233313143. The next prime is 1314233313223. The reversal of 1314233313144 is 4413133324131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314233313143) 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, 10123912 + ... + 10252904.

It is an arithmetic number, because the mean of its divisors is an integer number (54042036300).

Almost surely, 21314233313144 is an apocalyptic number.

It is an amenable number.

1314233313144 is an abundant number, since it is smaller than the sum of its proper divisors (2144457010056).

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

1314233313144 is a wasteful number, since it uses less digits than its factorization.

1314233313144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151364 (or 151360 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

Adding to 1314233313144 its reverse (4413133324131), we get a palindrome (5727366637275).

The spelling of 1314233313144 in words is "one trillion, three hundred fourteen billion, two hundred thirty-three million, three hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 22343 44686 67029 89372 128993 134058 178744 257986 268116 386979 424517 515972 536232 773958 849034 1031944 1273551 1547916 1698068 2450867 2547102 3095832 3396136 4901734 5094204 7352601 9803468 10188408 14705202 19606936 29410404 58820808 2882090599 5764181198 8646271797 11528362396 17292543594 23056724792 34585087188 54759721381 69170174376 109519442762 164279164143 219038885524 328558328286 438077771048 657116656572 1314233313144