Search a number
-
+
10342144232 = 23741912819
BaseRepresentation
bin10011010000111000…
…01001100011101000
3222200202120100202222
421220130021203220
5132140042103412
64430124013212
7514200530000
oct115034114350
928622510688
1010342144232
114427964042
122007691208
13c8a852a94
14701787000
15407e44072
hex2687098e8

10342144232 has 80 divisors (see below), whose sum is σ = 22748601600. Its totient is φ = 4407577440.

The previous prime is 10342144231. The next prime is 10342144243. The reversal of 10342144232 is 23244124301.

It is a super-3 number, since 3×103421442323 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10342144231) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3667319 + ... + 3670137.

It is an arithmetic number, because the mean of its divisors is an integer number (284357520).

Almost surely, 210342144232 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 10342144232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11374300800).

10342144232 is an abundant number, since it is smaller than the sum of its proper divisors (12406457368).

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

10342144232 is an equidigital number, since it uses as much as digits as its factorization.

10342144232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3044 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 10342144232 its reverse (23244124301), we get a palindrome (33586268533).

The spelling of 10342144232 in words is "ten billion, three hundred forty-two million, one hundred forty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 191 196 343 382 392 686 764 1337 1372 1528 2401 2674 2744 2819 4802 5348 5638 9359 9604 10696 11276 18718 19208 19733 22552 37436 39466 65513 74872 78932 131026 138131 157864 262052 276262 458591 524104 538429 552524 917182 966917 1076858 1105048 1834364 1933834 2153716 3668728 3769003 3867668 4307432 6768419 7538006 7735336 13536838 15076012 26383021 27073676 30152024 52766042 54147352 105532084 184681147 211064168 369362294 738724588 1292768029 1477449176 2585536058 5171072116 10342144232