Search a number
-
+
10144431 = 3211432383
BaseRepresentation
bin100110101100…
…101010101111
3201002101112200
4212230222233
510044110211
61001232543
7152140413
oct46545257
921071480
1010144431
1157a9730
123492753
13214252b
1414c0d43
15d55b56
hex9acaaf

10144431 has 24 divisors (see below), whose sum is σ = 16363776. Its totient is φ = 6002640.

The previous prime is 10144417. The next prime is 10144457. The reversal of 10144431 is 13444101.

It is not a de Polignac number, because 10144431 - 29 = 10143919 is a prime.

It is a super-2 number, since 2×101444312 = 205818960627522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3066 + ... + 5448.

It is an arithmetic number, because the mean of its divisors is an integer number (681824).

Almost surely, 210144431 is an apocalyptic number.

10144431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10144431 is a deficient number, since it is larger than the sum of its proper divisors (6219345).

10144431 is a wasteful number, since it uses less digits than its factorization.

10144431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10144431 is about 3185.0323389253. The cubic root of 10144431 is about 216.4757389694.

Adding to 10144431 its reverse (13444101), we get a palindrome (23588532).

It can be divided in two parts, 101444 and 31, that added together give a triangular number (101475 = T450).

The spelling of 10144431 in words is "ten million, one hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 43 99 129 387 473 1419 2383 4257 7149 21447 26213 78639 102469 235917 307407 922221 1127159 3381477 10144431