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4314141432 = 233382724151
BaseRepresentation
bin1000000010010010…
…01001001011111000
3102010122211002111000
410001021021023320
532313410011212
61552031005000
7211623411546
oct40111111370
912118732430
104314141432
111914247347
12a04969760
13539a31113
142ccd68d96
151a3b291dc
hex1012492f8

4314141432 has 64 divisors (see below), whose sum is σ = 11998713600. Its totient is φ = 1436248800.

The previous prime is 4314141431. The next prime is 4314141437. The reversal of 4314141432 is 2341414134.

It is a super-2 number, since 2×43141414322 = 37223632590598021248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4314141396 and 4314141405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314141431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166557 + ... + 190707.

It is an arithmetic number, because the mean of its divisors is an integer number (187479900).

Almost surely, 24314141432 is an apocalyptic number.

It is an amenable number.

4314141432 is an abundant number, since it is smaller than the sum of its proper divisors (7684572168).

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

4314141432 is a wasteful number, since it uses less digits than its factorization.

4314141432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24993 (or 24983 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 4314141432 is about 65682.1241434837. The cubic root of 4314141432 is about 1627.9140054024.

Adding to 4314141432 its reverse (2341414134), we get a palindrome (6655555566).

The spelling of 4314141432 in words is "four billion, three hundred fourteen million, one hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 827 1654 2481 3308 4962 6616 7443 9924 14886 19848 22329 24151 29772 44658 48302 59544 72453 89316 96604 144906 178632 193208 217359 289812 434718 579624 652077 869436 1304154 1738872 2608308 5216616 19972877 39945754 59918631 79891508 119837262 159783016 179755893 239674524 359511786 479349048 539267679 719023572 1078535358 1438047144 2157070716 4314141432