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1444040884 = 2211133123771
BaseRepresentation
bin101011000010010…
…0101000010110100
310201122012212200201
41112010211002310
510424133302014
6355142450244
750533100506
oct12604450264
93648185621
101444040884
1168113a320
12343733984
131a022b680
14d9ad7d76
1586b93e74
hex561250b4

1444040884 has 144 divisors (see below), whose sum is σ = 3195013248. Its totient is φ = 562464000.

The previous prime is 1444040879. The next prime is 1444040887. The reversal of 1444040884 is 4880404441.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444040887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20338569 + ... + 20338639.

It is an arithmetic number, because the mean of its divisors is an integer number (22187592).

Almost surely, 21444040884 is an apocalyptic number.

It is an amenable number.

1444040884 is an abundant number, since it is smaller than the sum of its proper divisors (1750972364).

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

1444040884 is a wasteful number, since it uses less digits than its factorization.

1444040884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 37.

The square root of 1444040884 is about 38000.5379435607. The cubic root of 1444040884 is about 1130.2985307788.

The spelling of 1444040884 in words is "one billion, four hundred forty-four million, forty thousand, eight hundred eighty-four".

Divisors: 1 2 4 11 13 22 26 31 37 44 52 62 71 74 124 142 143 148 284 286 341 403 407 481 572 682 781 806 814 923 961 962 1147 1364 1562 1612 1628 1846 1922 1924 2201 2294 2627 3124 3692 3844 4402 4433 4588 5254 5291 8804 8866 10153 10508 10571 10582 12493 12617 14911 17732 20306 21142 21164 24211 24986 25234 28613 28897 29822 34151 35557 40612 42284 48422 49972 50468 57226 57794 59644 68231 68302 71114 81437 96844 114452 115588 136462 136604 137423 142228 162874 164021 272924 274846 314743 325748 328042 375661 391127 462241 549692 629486 656084 750541 751322 782254 887003 895807 924482 1058681 1258972 1501082 1502644 1564508 1774006 1791614 1848964 2117362 2524547 3002164 3548012 3583228 4234724 5049094 5084651 9757033 10098188 10169302 11645491 19514066 20338604 23290982 27770017 32819111 39028132 46581964 55540034 65638222 111080068 131276444 361010221 722020442 1444040884