Search a number
-
+
14144121360 = 24325191033927
BaseRepresentation
bin11010010110000111…
…00010101000010000
31100111201122210220200
431023003202220100
5212431343340420
610255301335200
71010335022265
oct151303425020
940451583820
1014144121360
115aa8a957a6
1228a8a07500
1314454300a5
149826b126c
1557bb00b90
hex34b0e2a10

14144121360 has 120 divisors (see below), whose sum is σ = 50000758080. Its totient is φ = 3573248256.

The previous prime is 14144121283. The next prime is 14144121419. The reversal of 14144121360 is 6312144141.

14144121360 is a `hidden beast` number, since 1 + 4 + 1 + 441 + 213 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 503284 + ... + 530643.

It is an arithmetic number, because the mean of its divisors is an integer number (416672984).

Almost surely, 214144121360 is an apocalyptic number.

14144121360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14144121360 is an abundant number, since it is smaller than the sum of its proper divisors (35856636720).

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

14144121360 is a wasteful number, since it uses less digits than its factorization.

14144121360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033965 (or 1033956 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 14144121360 in words is "fourteen billion, one hundred forty-four million, one hundred twenty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1710 2280 2736 3420 4560 6840 13680 1033927 2067854 3101781 4135708 5169635 6203562 8271416 9305343 10339270 12407124 15508905 16542832 18610686 19644613 20678540 24814248 31017810 37221372 39289226 41357080 46526715 49628496 58933839 62035620 74442744 78578452 82714160 93053430 98223065 117867678 124071240 148885488 157156904 176801517 186106860 196446130 235735356 248142480 294669195 314313808 353603034 372213720 392892260 471470712 589338390 707206068 744427440 785784520 884007585 942941424 1178676780 1414412136 1571569040 1768015170 2357353560 2828824272 3536030340 4714707120 7072060680 14144121360