Search a number
-
+
3045643322160 = 2435601128916381
BaseRepresentation
bin101100010100011110011…
…111010000001100110000
3101210011100010020021121110
4230110132133100030300
5344344434142302120
610251052122153320
7433016611044135
oct54243637201460
911704303207543
103045643322160
11a7471728a22a
12412323952840
13191283ac763a
14a75a4b8858c
15543568ab2e0
hex2c51e7d0330

3045643322160 has 160 divisors (see below), whose sum is σ = 9465118568640. Its totient is φ = 810141696000.

The previous prime is 3045643322159. The next prime is 3045643322213. The reversal of 3045643322160 is 612233465403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185917170 + ... + 185933550.

It is an arithmetic number, because the mean of its divisors is an integer number (59156991054).

Almost surely, 23045643322160 is an apocalyptic number.

3045643322160 is a gapful number since it is divisible by the number (30) 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 3045643322160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4732559284320).

3045643322160 is an abundant number, since it is smaller than the sum of its proper divisors (6419475246480).

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

3045643322160 is a wasteful number, since it uses less digits than its factorization.

3045643322160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18287 (or 18281 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 39.

Adding to 3045643322160 its reverse (612233465403), we get a palindrome (3657876787563).

The spelling of 3045643322160 in words is "three trillion, forty-five billion, six hundred forty-three million, three hundred twenty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 601 1202 1289 1803 2404 2578 3005 3606 3867 4808 5156 6010 6445 7212 7734 9015 9616 10312 12020 12890 14424 15468 16381 18030 19335 20624 24040 25780 28848 30936 32762 36060 38670 48080 49143 51560 61872 65524 72120 77340 81905 98286 103120 131048 144240 154680 163810 196572 245715 262096 309360 327620 393144 491430 655240 774689 786288 982860 1310480 1549378 1965720 2324067 3098756 3873445 3931440 4648134 6197512 7746890 9296268 9844981 11620335 12395024 15493780 18592536 19689962 21115109 23240670 29534943 30987560 37185072 39379924 42230218 46481340 49224905 59069886 61975120 63345327 78759848 84460436 92962680 98449810 105575545 118139772 126690654 147674715 157519696 168920872 185925360 196899620 211151090 236279544 253381308 295349430 316726635 337841744 393799240 422302180 472559088 506762616 590698860 633453270 787598480 844604360 1013525232 1181397720 1266906540 1689208720 2362795440 2533813080 5067626160 12690180509 25380361018 38070541527 50760722036 63450902545 76141083054 101521444072 126901805090 152282166108 190352707635 203042888144 253803610180 304564332216 380705415270 507607220360 609128664432 761410830540 1015214440720 1522821661080 3045643322160