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2432234114420 = 2251173580126107
BaseRepresentation
bin100011011001001100011…
…100110100110101110100
322121112000120120220011112
4203121030130310311310
5304322203413130140
65101204122054152
7340503012600035
oct43311434646564
98545016526145
102432234114420
11858560827470
1233347234a358
13148488081aa6
1485a13a98a8c
1543404709c65
hex2364c734d74

2432234114420 has 96 divisors (see below), whose sum is σ = 5649546462336. Its totient is φ = 872149248000.

The previous prime is 2432234114377. The next prime is 2432234114477. The reversal of 2432234114420 is 244114322342.

It is a happy number.

2432234114420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 93151007 + ... + 93177113.

It is an arithmetic number, because the mean of its divisors is an integer number (58849442316).

Almost surely, 22432234114420 is an apocalyptic number.

2432234114420 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 2432234114420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824773231168).

2432234114420 is an abundant number, since it is smaller than the sum of its proper divisors (3217312347916).

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

2432234114420 is a wasteful number, since it uses less digits than its factorization.

2432234114420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32001 (or 31999 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 2432234114420 its reverse (244114322342), we get a palindrome (2676348436762).

The spelling of 2432234114420 in words is "two trillion, four hundred thirty-two billion, two hundred thirty-four million, one hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 220 292 365 730 803 1460 1606 3212 4015 5801 8030 11602 16060 23204 26107 29005 52214 58010 63811 104428 116020 127622 130535 255244 261070 287177 319055 423473 522140 574354 638110 846946 1148708 1276220 1435885 1693892 1905811 2117365 2871770 3811622 4234730 4658203 5743540 7623244 8469460 9316406 9529055 18632812 19058110 20963921 23291015 38116220 41927842 46582030 83855684 93164060 104819605 151446707 209639210 302893414 419278420 605786828 757233535 1514467070 1665913777 3028934140 3331827554 6663655108 8329568885 11055609611 16659137770 22111219222 33318275540 44222438444 55278048055 110556096110 121611705721 221112192220 243223411442 486446822884 608058528605 1216117057210 2432234114420