Search a number
-
+
14949438720 = 283516632341
BaseRepresentation
bin11011110110000111…
…00101010100000000
31102120212000011122120
431323003211110000
5221104024014340
610511230204240
71036314063306
oct157303452400
942525004576
1014949438720
116381628637
122a92653680
131543225338
14a1b622276
155c76784d0
hex37b0e5500

14949438720 has 144 divisors (see below), whose sum is σ = 47793887232. Its totient is φ = 3982417920.

The previous prime is 14949438709. The next prime is 14949438739. The reversal of 14949438720 is 2783494941.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6384750 + ... + 6387090.

Almost surely, 214949438720 is an apocalyptic number.

14949438720 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 14949438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23896943616).

14949438720 is an abundant number, since it is smaller than the sum of its proper divisors (32844448512).

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

14949438720 is a wasteful number, since it uses less digits than its factorization.

14949438720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4028 (or 4014 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 14949438720 in words is "fourteen billion, nine hundred forty-nine million, four hundred thirty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1663 1920 2341 3326 3840 4682 4989 6652 7023 8315 9364 9978 11705 13304 14046 16630 18728 19956 23410 24945 26608 28092 33260 35115 37456 39912 46820 49890 53216 56184 66520 70230 74912 79824 93640 99780 106432 112368 133040 140460 149824 159648 187280 199560 212864 224736 266080 280920 299648 319296 374560 399120 425728 449472 532160 561840 599296 638592 749120 798240 898944 1064320 1123680 1277184 1498240 1596480 1797888 2128640 2247360 2996480 3192960 3893083 4494720 6385920 7786166 8989440 11679249 15572332 19465415 23358498 31144664 38930830 46716996 58396245 62289328 77861660 93433992 116792490 124578656 155723320 186867984 233584980 249157312 311446640 373735968 467169960 498314624 622893280 747471936 934339920 996629248 1245786560 1494943872 1868679840 2491573120 2989887744 3737359680 4983146240 7474719360 14949438720