Search a number
-
+
3425013453260 = 225726755319431
BaseRepresentation
bin110001110101110010101…
…101011101000111001100
3110010102120002001201122202
4301311302231131013030
5422103411421001020
611141232432501032
7502310012000600
oct61656255350714
913112502051582
103425013453260
1111005a38937a3
1247395a0aa778
131bac92405059
14bbab3145500
155e15c0bae75
hex31d72b5d1cc

3425013453260 has 144 divisors (see below), whose sum is σ = 8494132324608. Its totient is φ = 1156431830400.

The previous prime is 3425013453187. The next prime is 3425013453287. The reversal of 3425013453260 is 623543105243.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 363160745 + ... + 363170175.

It is an arithmetic number, because the mean of its divisors is an integer number (58987030032).

Almost surely, 23425013453260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3425013453260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4247066162304).

3425013453260 is an abundant number, since it is smaller than the sum of its proper divisors (5069118871348).

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

3425013453260 is a wasteful number, since it uses less digits than its factorization.

3425013453260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15052 (or 15043 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 38.

The spelling of 3425013453260 in words is "three trillion, four hundred twenty-five billion, thirteen million, four hundred fifty-three thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 67 70 98 134 140 196 245 268 335 469 490 670 938 980 1340 1876 2345 3283 4690 5531 6566 9380 9431 11062 13132 16415 18862 22124 27655 32830 37724 38717 47155 55310 65660 66017 77434 94310 110620 132034 154868 188620 193585 264068 271019 330085 370577 387170 462119 542038 631877 660170 741154 774340 924238 1084076 1263754 1320340 1355095 1482308 1848476 1852885 2310595 2527508 2594039 2710190 3159385 3705770 4423139 4621190 5188078 5420380 6318770 7411540 8846278 9242380 10376156 12637540 12970195 17692556 18158273 22115695 25940390 30961973 36316546 44231390 51880780 52162861 61923946 72633092 88462780 90791365 104325722 123847892 154809865 181582730 208651444 260814305 309619730 363165460 365140027 521628610 619239460 730280054 1043257220 1460560108 1825700135 2555980189 3494911687 3651400270 5111960378 6989823374 7302800540 10223920756 12779900945 13979646748 17474558435 24464381809 25559801890 34949116870 48928763618 51119603780 69898233740 97857527236 122321909045 171250672663 244643818090 342501345326 489287636180 685002690652 856253363315 1712506726630 3425013453260