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1319144310 = 2325117318253
BaseRepresentation
bin100111010100000…
…1000101101110110
310101221012110210200
41032220020231312
510200200104220
6334521501330
744455353531
oct11650105566
93357173720
101319144310
11617693710
12309941846
131803aba83
14c72a5a18
157ac22890
hex4ea08b76

1319144310 has 96 divisors (see below), whose sum is σ = 3793035168. Its totient is φ = 315394560.

The previous prime is 1319144297. The next prime is 1319144341. The reversal of 1319144310 is 134419131.

1319144310 is a `hidden beast` number, since 131 + 91 + 443 + 1 + 0 = 666.

It is a super-2 number, since 2×13191443102 = 3480283421210752200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63144 + ... + 81396.

It is an arithmetic number, because the mean of its divisors is an integer number (39510783).

Almost surely, 21319144310 is an apocalyptic number.

1319144310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1319144310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896517584).

1319144310 is an abundant number, since it is smaller than the sum of its proper divisors (2473890858).

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

1319144310 is a wasteful number, since it uses less digits than its factorization.

1319144310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18350 (or 18347 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1319144310 is about 36320.0262940433. The cubic root of 1319144310 is about 1096.7242241922.

The spelling of 1319144310 in words is "one billion, three hundred nineteen million, one hundred forty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 73 90 99 110 146 165 198 219 330 365 438 495 657 730 803 990 1095 1314 1606 2190 2409 3285 4015 4818 6570 7227 8030 12045 14454 18253 24090 36135 36506 54759 72270 91265 109518 164277 182530 200783 273795 328554 401566 547590 602349 821385 1003915 1204698 1332469 1642770 1807047 2007830 2664938 3011745 3614094 3997407 6023490 6662345 7994814 9035235 11992221 13324690 14657159 18070470 19987035 23984442 29314318 39974070 43971477 59961105 73285795 87942954 119922210 131914431 146571590 219857385 263828862 439714770 659572155 1319144310