Search a number
-
+
12414894307480 = 2357173178227669
BaseRepresentation
bin1011010010101001000101…
…0111010111100010011000
31121221212000022220200121001
42310222101113113202120
53111401200420314410
642223153530554344
72420642440311340
oct264522127274230
947855008820531
1012414894307480
113a571441a9925
12148610ab989b4
136c09479bc402
1430cc53d31d20
15167e1720233a
hexb4a915d7898

12414894307480 has 128 divisors (see below), whose sum is σ = 33908531817600. Its totient is φ = 3993512583168.

The previous prime is 12414894307351. The next prime is 12414894307489. The reversal of 12414894307480 is 8470349841421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12414894307489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2604915 + ... + 5622754.

It is an arithmetic number, because the mean of its divisors is an integer number (264910404825).

Almost surely, 212414894307480 is an apocalyptic number.

12414894307480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12414894307480 is an abundant number, since it is smaller than the sum of its proper divisors (21493637510120).

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

12414894307480 is a wasteful number, since it uses less digits than its factorization.

12414894307480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8228021 (or 8228017 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 55.

The spelling of 12414894307480 in words is "twelve trillion, four hundred fourteen billion, eight hundred ninety-four million, three hundred seven thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 317 340 476 595 634 680 952 1190 1268 1585 2219 2380 2536 3170 4438 4760 5389 6340 8876 10778 11095 12680 17752 21556 22190 26945 37723 43112 44380 53890 75446 88760 107780 150892 188615 215560 301784 377230 754460 1508920 8227669 16455338 32910676 41138345 57593683 65821352 82276690 115187366 139870373 164553380 230374732 279740746 287968415 329106760 460749464 559481492 575936830 699351865 979092611 1118962984 1151873660 1398703730 1958185222 2303747320 2608171073 2797407460 3916370444 4895463055 5216342146 5594814920 7832740888 9790926110 10432684292 13040855365 18257197511 19581852220 20865368584 26081710730 36514395022 39163704440 44338908241 52163421460 73028790044 88677816482 91285987555 104326842920 146057580088 177355632964 182571975110 221694541205 310372357687 354711265928 365143950220 443389082410 620744715374 730287900440 886778164820 1241489430748 1551861788435 1773556329640 2482978861496 3103723576870 6207447153740 12414894307480