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412312132140 = 223567229447883
BaseRepresentation
bin1011111111111111011…
…01111101101000101100
31110102020202000111010220
411333333231331220230
523223403401212030
6513225155531340
741534323203666
oct5777755755054
91412222014126
10412312132140
111499514a4517
1267aaa5b9b50
132cb5b35ab2c
1415d55431536
15aad2772a10
hex5fffb7da2c

412312132140 has 96 divisors (see below), whose sum is σ = 1176824167680. Its totient is φ = 107835653376.

The previous prime is 412312132139. The next prime is 412312132151. The reversal of 412312132140 is 41231213214.

It is a super-3 number, since 3×4123121321403 (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 412312132140.

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, 696639 + ... + 1144521.

It is an arithmetic number, because the mean of its divisors is an integer number (12258585080).

Almost surely, 2412312132140 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 412312132140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588412083840).

412312132140 is an abundant number, since it is smaller than the sum of its proper divisors (764512035540).

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

412312132140 is a wasteful number, since it uses less digits than its factorization.

412312132140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448191 (or 448189 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 412312132140 its reverse (41231213214), we get a palindrome (453543345354).

The spelling of 412312132140 in words is "four hundred twelve billion, three hundred twelve million, one hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 229 268 335 402 458 670 687 804 916 1005 1145 1340 1374 2010 2290 2748 3435 4020 4580 6870 13740 15343 30686 46029 61372 76715 92058 153430 184116 230145 306860 447883 460290 895766 920580 1343649 1791532 2239415 2687298 4478830 5374596 6718245 8957660 13436490 26872980 30008161 60016322 90024483 102565207 120032644 150040805 180048966 205130414 300081610 307695621 360097932 410260828 450122415 512826035 600163220 615391242 900244830 1025652070 1230782484 1538478105 1800489660 2051304140 3076956210 6153912420 6871868869 13743737738 20615606607 27487475476 34359344345 41231213214 68718688690 82462426428 103078033035 137437377380 206156066070 412312132140