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19314430720 = 285131637121
BaseRepresentation
bin10001111111001110…
…101101001100000000
31211212001111201222221
4101333032231030000
5304023443240340
612512315140424
71252425644434
oct217716551400
954761451887
1019314430720
118211546742
1238b0444714
131a8a64ba40
14d132269c4
1578099944a
hex47f3ad300

19314430720 has 144 divisors (see below), whose sum is σ = 50135575392. Its totient is φ = 7086735360.

The previous prime is 19314430703. The next prime is 19314430727. The reversal of 19314430720 is 2703441391.

It is not an unprimeable number, because it can be changed into a prime (19314430727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2708760 + ... + 2715880.

It is an arithmetic number, because the mean of its divisors is an integer number (348163718).

Almost surely, 219314430720 is an apocalyptic number.

19314430720 is a gapful number since it is divisible by the number (10) 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 19314430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25067787696).

19314430720 is an abundant number, since it is smaller than the sum of its proper divisors (30821144672).

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

19314430720 is a wasteful number, since it uses less digits than its factorization.

19314430720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7318 (or 7304 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 19314430720 in words is "nineteen billion, three hundred fourteen million, four hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 163 208 256 260 320 326 416 520 640 652 815 832 1040 1280 1304 1630 1664 2080 2119 2608 3260 3328 4160 4238 5216 6520 7121 8320 8476 10432 10595 13040 14242 16640 16952 20864 21190 26080 28484 33904 35605 41728 42380 52160 56968 67808 71210 84760 92573 104320 113936 135616 142420 169520 185146 208640 227872 271232 284840 339040 370292 455744 462865 542464 569680 678080 740584 911488 925730 1139360 1160723 1356160 1481168 1822976 1851460 2278720 2321446 2712320 2962336 3702920 4557440 4642892 5803615 5924672 7405840 9114880 9285784 11607230 11849344 14811680 15089399 18571568 23214460 23698688 29623360 30178798 37143136 46428920 59246720 60357596 74286272 75446995 92857840 118493440 120715192 148572544 150893990 185715680 241430384 297145088 301787980 371431360 482860768 603575960 742862720 965721536 1207151920 1485725440 1931443072 2414303840 3862886144 4828607680 9657215360 19314430720