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1314003444 = 22313191932297
BaseRepresentation
bin100111001010010…
…0001100111110100
310101120112021212020
41032110201213310
510142341102234
6334215353140
744363562555
oct11624414764
93346467766
101314003444
116147a2266
123080827b0
1317c2cbb40
14c672832c
157a559549
hex4e5219f4

1314003444 has 96 divisors (see below), whose sum is σ = 3495166080. Its totient is φ = 380878848.

The previous prime is 1314003443. The next prime is 1314003511. The reversal of 1314003444 is 4443004131.

It is a super-2 number, since 2×13140034442 = 3453210101687722272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314003443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 570904 + ... + 573200.

It is an arithmetic number, because the mean of its divisors is an integer number (36407980).

Almost surely, 21314003444 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 1314003444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747583040).

1314003444 is an abundant number, since it is smaller than the sum of its proper divisors (2181162636).

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

1314003444 is a wasteful number, since it uses less digits than its factorization.

1314003444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1314003444 is about 36249.1854253306. The cubic root of 1314003444 is about 1095.2976801647.

Adding to 1314003444 its reverse (4443004131), we get a palindrome (5757007575).

The spelling of 1314003444 in words is "one billion, three hundred fourteen million, three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 193 228 247 386 494 579 741 772 988 1158 1482 2297 2316 2509 2964 3667 4594 5018 6891 7334 7527 9188 10036 11001 13782 14668 15054 22002 27564 29861 30108 43643 44004 47671 59722 87286 89583 95342 119444 130929 143013 174572 179166 190684 261858 286026 358332 443321 523716 567359 572052 886642 1134718 1329963 1702077 1773284 2269436 2659926 3404154 5319852 5763173 6808308 8423099 11526346 16846198 17289519 23052692 25269297 33692396 34579038 50538594 69158076 101077188 109500287 219000574 328500861 438001148 657001722 1314003444