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1314726864 = 2431131471709
BaseRepresentation
bin100111001011101…
…0010001111010000
310101121220001012120
41032113102033100
510143032224424
6334243054240
744402664633
oct11627221720
93347801176
101314726864
11615146830
12308371380
1317c4c31b9
14c6875c1a
157a64da79
hex4e5d23d0

1314726864 has 160 divisors (see below), whose sum is σ = 3908321280. Its totient is φ = 377126400.

The previous prime is 1314726857. The next prime is 1314726871. The reversal of 1314726864 is 4686274131.

It is an interprime number because it is at equal distance from previous prime (1314726857) and next prime (1314726871).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 768442 + ... + 770150.

It is an arithmetic number, because the mean of its divisors is an integer number (24427008).

Almost surely, 21314726864 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 1314726864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954160640).

1314726864 is an abundant number, since it is smaller than the sum of its proper divisors (2593594416).

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

1314726864 is a wasteful number, since it uses less digits than its factorization.

1314726864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1803 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 1314726864 is about 36259.1624834331. The cubic root of 1314726864 is about 1095.4986473908.

The spelling of 1314726864 in words is "one billion, three hundred fourteen million, seven hundred twenty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 47 48 62 66 88 93 94 124 132 141 176 186 188 248 264 282 341 372 376 496 517 528 564 682 744 752 1023 1034 1128 1364 1457 1488 1551 1709 2046 2068 2256 2728 2914 3102 3418 4092 4136 4371 5127 5456 5828 6204 6836 8184 8272 8742 10254 11656 12408 13672 16027 16368 17484 18799 20508 23312 24816 27344 32054 34968 37598 41016 48081 52979 56397 64108 69936 75196 80323 82032 96162 105958 112794 128216 150392 158937 160646 192324 211916 225588 240969 256432 300784 317874 321292 384648 423832 451176 481938 582769 635748 642584 769296 847664 883553 902352 963876 1165538 1271496 1285168 1748307 1767106 1927752 2331076 2490013 2542992 2650659 3496614 3534212 3855504 4662152 4980026 5301318 6993228 7068424 7470039 9324304 9960052 10602636 13986456 14136848 14940078 19920104 21205272 27390143 27972912 29880156 39840208 42410544 54780286 59760312 82170429 109560572 119520624 164340858 219121144 328681716 438242288 657363432 1314726864