Search a number
-
+
14051279760 = 2435719440203
BaseRepresentation
bin11010001011000010…
…11000001110010000
31100021020221222011220
431011201120032100
5212234111423020
610242143405040
71005126623130
oct150541301620
940236858156
1014051279760
115a60643501
1228818b3780
13142c12492b
14974224ac0
155738b2240
hex345858390

14051279760 has 160 divisors (see below), whose sum is σ = 52401884160. Its totient is φ = 3042676224.

The previous prime is 14051279743. The next prime is 14051279771. The reversal of 14051279760 is 6797215041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 188182 + ... + 252021.

It is an arithmetic number, because the mean of its divisors is an integer number (327511776).

Almost surely, 214051279760 is an apocalyptic number.

14051279760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14051279760 is an abundant number, since it is smaller than the sum of its proper divisors (38350604400).

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

14051279760 is a wasteful number, since it uses less digits than its factorization.

14051279760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440245 (or 440239 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 14051279760 in words is "fourteen billion, fifty-one million, two hundred seventy-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 38 40 42 48 56 57 60 70 76 80 84 95 105 112 114 120 133 140 152 168 190 210 228 240 266 280 285 304 336 380 399 420 456 532 560 570 665 760 798 840 912 1064 1140 1330 1520 1596 1680 1995 2128 2280 2660 3192 3990 4560 5320 6384 7980 10640 15960 31920 440203 880406 1320609 1760812 2201015 2641218 3081421 3521624 4402030 5282436 6162842 6603045 7043248 8363857 8804060 9244263 10564872 12325684 13206090 15407105 16727714 17608120 18488526 21129744 24651368 25091571 26412180 30814210 33455428 35216240 36977052 41819285 46221315 49302736 50183142 52824360 58546999 61628420 66910856 73954104 83638570 92442630 100366284 105648720 117093998 123256840 125457855 133821712 147908208 167277140 175640997 184885260 200732568 234187996 246513680 250915710 292734995 334554280 351281994 369770520 401465136 468375992 501831420 585469990 669108560 702563988 739541040 878204985 936751984 1003662840 1170939980 1405127976 1756409970 2007325680 2341879960 2810255952 3512819940 4683759920 7025639880 14051279760