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2112514445000 = 23543728140637
BaseRepresentation
bin11110101111011011101…
…011000100111011001000
321110221202202121212102202
4132233123223010323020
5234102412144220000
64254250432015332
7305424035335661
oct36573353047310
97427682555382
102112514445000
11744a04370713
122a1504991548
1312429497a54b
14743639a4368
1539e40c05dd5
hex1ebdbac4ec8

2112514445000 has 160 divisors (see below), whose sum is σ = 5101610805720. Its totient is φ = 819221760000.

The previous prime is 2112514444987. The next prime is 2112514445017. The reversal of 2112514445000 is 5444152112.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 933739555204 + 1178774889796 = 966302^2 + 1085714^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51964682 + ... + 52005318.

Almost surely, 22112514445000 is an apocalyptic number.

2112514445000 is a gapful number since it is divisible by the number (20) 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 2112514445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550805402860).

2112514445000 is an abundant number, since it is smaller than the sum of its proper divisors (2989096360720).

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

2112514445000 is a wasteful number, since it uses less digits than its factorization.

2112514445000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40981 (or 40962 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

Adding to 2112514445000 its reverse (5444152112), we get a palindrome (2117958597112).

The spelling of 2112514445000 in words is "two trillion, one hundred twelve billion, five hundred fourteen million, four hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 125 148 185 200 250 281 296 370 500 562 625 740 925 1000 1124 1250 1405 1480 1850 2248 2500 2810 3700 4625 5000 5620 7025 7400 9250 10397 11240 14050 18500 20794 23125 28100 35125 37000 40637 41588 46250 51985 56200 70250 81274 83176 92500 103970 140500 162548 175625 185000 203185 207940 259925 281000 325096 351250 406370 415880 519850 702500 812740 1015925 1039700 1299625 1405000 1503569 1625480 2031850 2079400 2599250 3007138 4063700 5079625 5198500 6014276 6498125 7517845 8127400 10159250 10397000 11418997 12028552 12996250 15035690 20318500 22837994 25398125 25992500 30071380 37589225 40637000 45675988 50796250 51985000 57094985 60142760 75178450 91351976 101592500 114189970 150356900 187946125 203185000 228379940 285474925 300713800 375892250 422502889 456759880 570949850 751784500 845005778 939730625 1141899700 1427374625 1503569000 1690011556 1879461250 2112514445 2283799400 2854749250 3380023112 3758922500 4225028890 5709498500 7136873125 7517845000 8450057780 10562572225 11418997000 14273746250 16900115560 21125144450 28547492500 42250288900 52812861125 57094985000 84500577800 105625722250 211251444500 264064305625 422502889000 528128611250 1056257222500 2112514445000