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1444421430 = 233522723567
BaseRepresentation
bin101011000011000…
…0001111100110110
310201122221012201000
41112012001330312
510424232441210
6355154544130
750536244124
oct12606017466
93648835630
101444421430
1168137a221
12343898046
131a033294a
14d9b96914
1586c1bac0
hex56181f36

1444421430 has 64 divisors (see below), whose sum is σ = 3868922880. Its totient is φ = 383465952.

The previous prime is 1444421423. The next prime is 1444421453. The reversal of 1444421430 is 341244441.

1444421430 is a `hidden beast` number, since 1 + 4 + 444 + 214 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1444421394 and 1444421403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49507 + ... + 73073.

It is an arithmetic number, because the mean of its divisors is an integer number (60451920).

Almost surely, 21444421430 is an apocalyptic number.

1444421430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444421430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934461440).

1444421430 is an abundant number, since it is smaller than the sum of its proper divisors (2424501450).

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

1444421430 is a wasteful number, since it uses less digits than its factorization.

1444421430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23810 (or 23804 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 1444421430 is about 38005.5447270527. The cubic root of 1444421430 is about 1130.3978107025.

Adding to 1444421430 its reverse (341244441), we get a palindrome (1785665871).

The spelling of 1444421430 in words is "one billion, four hundred forty-four million, four hundred twenty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 227 270 454 681 1135 1362 2043 2270 3405 4086 6129 6810 10215 12258 20430 23567 30645 47134 61290 70701 117835 141402 212103 235670 353505 424206 636309 707010 1060515 1272618 2121030 3181545 5349709 6363090 10699418 16049127 26748545 32098254 48147381 53497090 80245635 96294762 144442143 160491270 240736905 288884286 481473810 722210715 1444421430