Search a number
-
+
1314044515456 = 2783233530843
BaseRepresentation
bin10011000111110011001…
…010000001010010000000
311122121210000120202112021
4103013303022001102000
5133012130343443311
62443355210211224
7163636151042521
oct23076312012200
94577700522467
101314044515456
11467312965562
12192806a23b14
1396bb59c120a
144785892c848
15242abded171
hex131f3281480

1314044515456 has 64 divisors (see below), whose sum is σ = 2660738764320. Its totient is φ = 646319245312.

The previous prime is 1314044515439. The next prime is 1314044515501. The reversal of 1314044515456 is 6545154404131.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2209971 + ... + 2740813.

Almost surely, 21314044515456 is an apocalyptic number.

1314044515456 is a gapful number since it is divisible by the number (16) 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 1314044515456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330369382160).

1314044515456 is an abundant number, since it is smaller than the sum of its proper divisors (1346694248864).

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

1314044515456 is an equidigital number, since it uses as much as digits as its factorization.

1314044515456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531173 (or 531161 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 43.

Adding to 1314044515456 its reverse (6545154404131), we get a palindrome (7859198919587).

The spelling of 1314044515456 in words is "one trillion, three hundred fourteen billion, forty-four million, five hundred fifteen thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 83 128 166 233 332 466 664 932 1328 1864 2656 3728 5312 7456 10624 14912 19339 29824 38678 77356 154712 309424 530843 618848 1061686 1237696 2123372 2475392 4246744 8493488 16986976 33973952 44059969 67947904 88119938 123686419 176239876 247372838 352479752 494745676 704959504 989491352 1409919008 1978982704 2819838016 3957965408 5639676032 7915930816 10265972777 15831861632 20531945554 41063891108 82127782216 164255564432 328511128864 657022257728 1314044515456