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1444342224 = 2431323157641
BaseRepresentation
bin101011000010110…
…1110100111010000
310201122210012001110
41112011232213100
510424222422344
6355153133320
750535464163
oct12605564720
93648705043
101444342224
11681325766
1234385a240
131a0305890
14d9b75ada
1586c033b9
hex5616e9d0

1444342224 has 160 divisors (see below), whose sum is σ = 4226229504. Its totient is φ = 421724160.

The previous prime is 1444342183. The next prime is 1444342231. The reversal of 1444342224 is 4222434441.

It is a super-2 number, since 2×14443422242 = 4172248920058532352, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1444342191 and 1444342200.

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, 2252944 + ... + 2253584.

Almost surely, 21444342224 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 1444342224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113114752).

1444342224 is an abundant number, since it is smaller than the sum of its proper divisors (2781887280).

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

1444342224 is a wasteful number, since it uses less digits than its factorization.

1444342224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 839 counting only the distinct ones).

The product of its digits is 24576, while the sum is 30.

The square root of 1444342224 is about 38004.5026806035. The cubic root of 1444342224 is about 1130.3771482366.

Adding to 1444342224 its reverse (4222434441), we get a palindrome (5666776665).

The spelling of 1444342224 in words is "one billion, four hundred forty-four million, three hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 157 184 208 276 299 312 314 368 471 552 598 624 628 641 897 942 1104 1196 1256 1282 1794 1884 1923 2041 2392 2512 2564 3588 3611 3768 3846 4082 4784 5128 6123 7176 7222 7536 7692 8164 8333 10256 10833 12246 14352 14444 14743 15384 16328 16666 21666 24492 24999 28888 29486 30768 32656 33332 43332 44229 46943 48984 49998 57776 58972 66664 86664 88458 93886 97968 99996 100637 117944 133328 140829 173328 176916 187772 191659 199992 201274 235888 281658 301911 353832 375544 383318 399984 402548 563316 574977 603822 707664 751088 766636 805096 1126632 1149954 1207644 1308281 1533272 1610192 2253264 2299908 2314651 2415288 2616562 3066544 3924843 4599816 4629302 4830576 5233124 6943953 7849686 9199632 9258604 10466248 13887906 15699372 18517208 20932496 27775812 30090463 31398744 37034416 55551624 60180926 62797488 90271389 111103248 120361852 180542778 240723704 361085556 481447408 722171112 1444342224