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2421131432 = 231723273461
BaseRepresentation
bin1001000001001111…
…1000100010101000
320020201210012221112
42100103320202220
514424302201212
61040125125452
7113666164136
oct22023704250
96221705845
102421131432
111032735975
125769b9888
132c77a7065
1418d7a0756
15e284c422
hex904f88a8

2421131432 has 96 divisors (see below), whose sum is σ = 5104610280. Its totient is φ = 1072558080.

The previous prime is 2421131417. The next prime is 2421131443. The reversal of 2421131432 is 2341311242.

It can be written as a sum of positive squares in 4 ways, for example, as 2205805156 + 215326276 = 46966^2 + 14674^2 .

It is a super-2 number, since 2×24211314322 = 11723754822036741248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

Its product of digits (1152) is a multiple of the sum of its prime divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 2421131398 and 2421131407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5251682 + ... + 5252142.

Almost surely, 22421131432 is an apocalyptic number.

It is an amenable number.

2421131432 is an abundant number, since it is smaller than the sum of its proper divisors (2683478848).

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

2421131432 is a wasteful number, since it uses less digits than its factorization.

2421131432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 576 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 2421131432 is about 49204.9939741892. The cubic root of 2421131432 is about 1342.7838893710.

Adding to 2421131432 its reverse (2341311242), we get a palindrome (4762442674).

The spelling of 2421131432 in words is "two billion, four hundred twenty-one million, one hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 17 23 34 46 68 73 92 136 146 184 292 391 461 529 584 782 922 1058 1241 1564 1679 1844 2116 2482 3128 3358 3688 4232 4964 6716 7837 8993 9928 10603 13432 15674 17986 21206 28543 31348 33653 35972 38617 42412 57086 62696 67306 71944 77234 84824 114172 134612 154468 180251 228344 243869 269224 308936 360502 487738 572101 656489 721004 774019 975476 1144202 1312978 1442008 1548038 1950952 2288404 2625956 3096076 4145773 4576808 5251912 6192152 8291546 13158323 16583092 17802437 26316646 33166184 35604874 52633292 71209748 105266584 142419496 302641429 605282858 1210565716 2421131432