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1444214448 = 24341398017
BaseRepresentation
bin101011000010100…
…1111011010110000
310201122112200210000
41112011033122300
510424204330243
6355150310000
750534422515
oct12605173260
93648480700
101444214448
11681248766
123437b8300
131a028c681
14d9b4130c
1586bca5d3
hex5614f6b0

1444214448 has 100 divisors (see below), whose sum is σ = 4210572520. Its totient is φ = 477881856.

The previous prime is 1444214411. The next prime is 1444214477. The reversal of 1444214448 is 8444124441.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 176136 + ... + 184152.

Almost surely, 21444214448 is an apocalyptic number.

1444214448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444214448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105286260).

1444214448 is an abundant number, since it is smaller than the sum of its proper divisors (2766358072).

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

1444214448 is a wasteful number, since it uses less digits than its factorization.

1444214448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8176 (or 8161 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The square root of 1444214448 is about 38002.8215794564. The cubic root of 1444214448 is about 1130.3438137246.

Adding to 1444214448 its reverse (8444124441), we get a palindrome (9888338889).

The spelling of 1444214448 in words is "one billion, four hundred forty-four million, two hundred fourteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 139 144 162 216 278 324 417 432 556 648 834 1112 1251 1296 1668 2224 2502 3336 3753 5004 6672 7506 8017 10008 11259 15012 16034 20016 22518 24051 30024 32068 45036 48102 60048 64136 72153 90072 96204 128272 144306 180144 192408 216459 288612 384816 432918 577224 649377 865836 1114363 1154448 1298754 1731672 2228726 2597508 3343089 3463344 4457452 5195016 6686178 8914904 10029267 10390032 13372356 17829808 20058534 26744712 30087801 40117068 53489424 60175602 80234136 90263403 120351204 160468272 180526806 240702408 361053612 481404816 722107224 1444214448