Search a number
-
+
4024101444 = 2231131983407
BaseRepresentation
bin1110111111011010…
…1110101001000100
3101101110001112102020
43233312232221010
531220132221234
61503150243140
7201502204116
oct35766565104
911343045366
104024101444
111785555a80
129437b64b0
134c190c91c
142a26293b6
15188436549
hexefdaea44

4024101444 has 48 divisors (see below), whose sum is σ = 10573602816. Its totient is φ = 1180087200.

The previous prime is 4024101437. The next prime is 4024101503. The reversal of 4024101444 is 4441014204.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487612 + ... + 495795.

It is an arithmetic number, because the mean of its divisors is an integer number (220283392).

Almost surely, 24024101444 is an apocalyptic number.

4024101444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4024101444 is an abundant number, since it is smaller than the sum of its proper divisors (6549501372).

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

4024101444 is a wasteful number, since it uses less digits than its factorization.

4024101444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983456 (or 983454 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4024101444 is about 63435.8056936302. The cubic root of 4024101444 is about 1590.5828913856.

Adding to 4024101444 its reverse (4441014204), we get a palindrome (8465115648).

The spelling of 4024101444 in words is "four billion, twenty-four million, one hundred one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 4092 983407 1966814 2950221 3933628 5900442 10817477 11800884 21634954 30485617 32452431 43269908 60971234 64904862 91456851 121942468 129809724 182913702 335341787 365827404 670683574 1006025361 1341367148 2012050722 4024101444