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1144339424 = 25232336673
BaseRepresentation
bin100010000110101…
…0011101111100000
32221202021110120122
41010031103233200
54320422330144
6305315055412
740233503354
oct10415235740
92852243518
101144339424
11537a4a168
1227b2a1568
13153106727
14abda1464
156a6e37ee
hex44353be0

1144339424 has 48 divisors (see below), whose sum is σ = 2361314592. Its totient is φ = 544862208.

The previous prime is 1144339421. The next prime is 1144339453. The reversal of 1144339424 is 4249334411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144339421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168152 + ... + 174824.

It is an arithmetic number, because the mean of its divisors is an integer number (49194054).

Almost surely, 21144339424 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 1144339424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180657296).

1144339424 is an abundant number, since it is smaller than the sum of its proper divisors (1216975168).

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

1144339424 is a wasteful number, since it uses less digits than its factorization.

1144339424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6939 (or 6931 counting only the distinct ones).

The product of its digits is 41472, while the sum is 35.

The square root of 1144339424 is about 33828.0863189155. The cubic root of 1144339424 is about 1045.9677318592.

The spelling of 1144339424 in words is "one billion, one hundred forty-four million, three hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 92 184 233 368 466 736 932 1864 3728 5359 6673 7456 10718 13346 21436 26692 42872 53384 85744 106768 153479 171488 213536 306958 613916 1227832 1554809 2455664 3109618 4911328 6219236 12438472 24876944 35760607 49753888 71521214 143042428 286084856 572169712 1144339424