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2442426305160 = 2335827170914401
BaseRepresentation
bin100011100010101011111…
…100111100101010001000
322122111022212222211102110
4203202223330330222020
5310004042113231120
65110011332102320
7341313413022612
oct43425374745210
98574285884373
102442426305160
11861910a801a6
123354377649a0
13149420820b9a
14862dd569db2
15437ee3cd2e0
hex238abf3ca88

2442426305160 has 128 divisors (see below), whose sum is σ = 7340941353600. Its totient is φ = 650100326400.

The previous prime is 2442426305107. The next prime is 2442426305171. The reversal of 2442426305160 is 615036242442.

It is a happy number.

2442426305160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24424263051602 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169593960 + ... + 169608360.

It is an arithmetic number, because the mean of its divisors is an integer number (57351104325).

Almost surely, 22442426305160 is an apocalyptic number.

2442426305160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442426305160 is an abundant number, since it is smaller than the sum of its proper divisors (4898515048440).

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

2442426305160 is a wasteful number, since it uses less digits than its factorization.

2442426305160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16951 (or 16947 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 2442426305160 in words is "two trillion, four hundred forty-two billion, four hundred twenty-six million, three hundred five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 827 1654 1709 2481 3308 3418 4135 4962 5127 6616 6836 8270 8545 9924 10254 12405 13672 14401 16540 17090 19848 20508 24810 25635 28802 33080 34180 41016 43203 49620 51270 57604 68360 72005 86406 99240 102540 115208 144010 172812 205080 216015 288020 345624 432030 576040 864060 1413343 1728120 2826686 4240029 5653372 7066715 8480058 11306744 11909627 14133430 16960116 21200145 23819254 24611309 28266860 33920232 35728881 42400290 47638508 49222618 56533720 59548135 71457762 73833927 84800580 95277016 98445236 119096270 123056545 142915524 147667854 169601160 178644405 196890472 238192540 246113090 285831048 295335708 357288810 369169635 476385080 492226180 590671416 714577620 738339270 984452360 1429155240 1476678540 2953357080 20353552543 40707105086 61060657629 81414210172 101767762715 122121315258 162828420344 203535525430 244242630516 305303288145 407071050860 488485261032 610606576290 814142101720 1221213152580 2442426305160