Search a number
-
+
462743245140 = 2235112353180563
BaseRepresentation
bin1101011101111011010…
…01011001000101010100
31122020102101001110121220
412232331221121011110
530040144232321030
6552325321410340
745301131453651
oct6567551310524
91566371043556
10462743245140
11169280553100
12758239399b0
13348375138b7
141857b104c28
15c084dc4a10
hex6bbda59154

462743245140 has 144 divisors (see below), whose sum is σ = 1428220793664. Its totient is φ = 111861770240.

The previous prime is 462743245109. The next prime is 462743245193. The reversal of 462743245140 is 41542347264.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 462743245092 and 462743245101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2472499 + ... + 2653061.

It is an arithmetic number, because the mean of its divisors is an integer number (9918199956).

Almost surely, 2462743245140 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 462743245140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714110396832).

462743245140 is an abundant number, since it is smaller than the sum of its proper divisors (965477548524).

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

462743245140 is a wasteful number, since it uses less digits than its factorization.

462743245140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180950 (or 180937 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 462743245140 in words is "four hundred sixty-two billion, seven hundred forty-three million, two hundred forty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 353 363 484 605 660 706 726 1059 1210 1412 1452 1765 1815 2118 2420 3530 3630 3883 4236 5295 7060 7260 7766 10590 11649 15532 19415 21180 23298 38830 42713 46596 58245 77660 85426 116490 128139 170852 180563 213565 232980 256278 361126 427130 512556 541689 640695 722252 854260 902815 1083378 1281390 1805630 1986193 2166756 2562780 2708445 3611260 3972386 5416890 5958579 7944772 9930965 10833780 11917158 19861930 21848123 23834316 29792895 39723860 43696246 59585790 63738739 65544369 87392492 109240615 119171580 127477478 131088738 191216217 218481230 254954956 262177476 318693695 327721845 382432434 436962460 637387390 655443690 701126129 764864868 956081085 1274774780 1310887380 1402252258 1912162170 2103378387 2804504516 3505630645 3824324340 4206756774 7011261290 7712387419 8413513548 10516891935 14022522580 15424774838 21033783870 23137162257 30849549676 38561937095 42067567740 46274324514 77123874190 92548649028 115685811285 154247748380 231371622570 462743245140