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14912330720 = 255727924077
BaseRepresentation
bin11011110001101100…
…00001101111100000
31102111021011220001012
431320312001233200
5221020024040340
610503423000052
71035353501600
oct157066015740
942437156035
1014912330720
116362692871
122a82139028
131538631c41
14a16722c00
155c4298565
hex378d81be0

14912330720 has 144 divisors (see below), whose sum is σ = 41502767040. Its totient is φ = 5047870464.

The previous prime is 14912330711. The next prime is 14912330773. The reversal of 14912330720 is 2703321941.

14912330720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 607322 + ... + 631398.

It is an arithmetic number, because the mean of its divisors is an integer number (288213660).

Almost surely, 214912330720 is an apocalyptic number.

14912330720 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 14912330720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20751383520).

14912330720 is an abundant number, since it is smaller than the sum of its proper divisors (26590436320).

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

14912330720 is a wasteful number, since it uses less digits than its factorization.

14912330720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24185 (or 24170 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The spelling of 14912330720 in words is "fourteen billion, nine hundred twelve million, three hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 79 80 98 112 140 158 160 196 224 245 280 316 392 395 490 553 560 632 784 790 980 1106 1120 1264 1568 1580 1960 2212 2528 2765 3160 3871 3920 4424 5530 6320 7742 7840 8848 11060 12640 15484 17696 19355 22120 24077 30968 38710 44240 48154 61936 77420 88480 96308 120385 123872 154840 168539 192616 240770 309680 337078 385232 481540 619360 674156 770464 842695 963080 1179773 1348312 1685390 1902083 1926160 2359546 2696624 3370780 3804166 3852320 4719092 5393248 5898865 6741560 7608332 9438184 9510415 11797730 13314581 13483120 15216664 18876368 19020830 23595460 26629162 26966240 30433328 37752736 38041660 47190920 53258324 60866656 66572905 76083320 93202067 94381840 106516648 133145810 152166640 186404134 188763680 213033296 266291620 304333280 372808268 426066592 466010335 532583240 745616536 932020670 1065166480 1491233072 1864041340 2130332960 2982466144 3728082680 7456165360 14912330720