Search a number
-
+
105243304464 = 24323372168713
BaseRepresentation
bin110001000000011111…
…1010110001000010000
3101001122120211210210100
41202000333112020100
53211014241220324
6120203105132400
710414012220304
oct1420077261020
9331576753710
10105243304464
11406a7113381
121849192a100
139c02ba826c
145145577d04
152b0e7014c9
hex1880fd6210

105243304464 has 60 divisors (see below), whose sum is σ = 295409208796. Its totient is φ = 34976987136.

The previous prime is 105243304459. The next prime is 105243304477. The reversal of 105243304464 is 464403342501.

105243304464 is a `hidden beast` number, since 1 + 0 + 524 + 3 + 30 + 44 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72479408400 + 32763896064 = 269220^2 + 181008^2 .

It is a super-2 number, since 2×1052433044642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1035829 + ... + 1132884.

Almost surely, 2105243304464 is an apocalyptic number.

It is an amenable number.

105243304464 is an abundant number, since it is smaller than the sum of its proper divisors (190165904332).

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

105243304464 is a wasteful number, since it uses less digits than its factorization.

105243304464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169064 (or 2169055 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 105243304464 its reverse (464403342501), we get a palindrome (569646646965).

The spelling of 105243304464 in words is "one hundred five billion, two hundred forty-three million, three hundred four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 337 674 1011 1348 2022 2696 3033 4044 5392 6066 8088 12132 16176 24264 48528 2168713 4337426 6506139 8674852 13012278 17349704 19518417 26024556 34699408 39036834 52049112 78073668 104098224 156147336 312294672 730856281 1461712562 2192568843 2923425124 4385137686 5846850248 6577706529 8770275372 11693700496 13155413058 17540550744 26310826116 35081101488 52621652232 105243304464