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444020013144 = 233319293730759
BaseRepresentation
bin1100111011000011010…
…01111011100001011000
31120110002111222201211000
412131201221323201120
524233323110410034
6535551401505000
744036141560521
oct6354151734130
91513074881730
10444020013144
111613427a3854
12720794a2160
1332b424cb6b6
14176c2613848
15b83b2aa599
hex6761a7b858

444020013144 has 128 divisors (see below), whose sum is σ = 1343073600000. Its totient is φ = 135381746304.

The previous prime is 444020013139. The next prime is 444020013167. The reversal of 444020013144 is 441310020444.

444020013144 is a `hidden beast` number, since 4 + 440 + 200 + 1 + 3 + 14 + 4 = 666.

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

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, 1746364 + ... + 1984395.

It is an arithmetic number, because the mean of its divisors is an integer number (10492762500).

Almost surely, 2444020013144 is an apocalyptic number.

It is an amenable number.

444020013144 is an abundant number, since it is smaller than the sum of its proper divisors (899053586856).

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

444020013144 is a wasteful number, since it uses less digits than its factorization.

444020013144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3730822 (or 3730812 counting only the distinct ones).

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

Adding to 444020013144 its reverse (441310020444), we get a palindrome (885330033588).

The spelling of 444020013144 in words is "four hundred forty-four billion, twenty million, thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 29 36 38 54 57 58 72 76 87 108 114 116 152 171 174 216 228 232 261 342 348 456 513 522 551 684 696 783 1026 1044 1102 1368 1566 1653 2052 2088 2204 3132 3306 4104 4408 4959 6264 6612 9918 13224 14877 19836 29754 39672 59508 119016 3730759 7461518 11192277 14923036 22384554 29846072 33576831 44769108 67153662 70884421 89538216 100730493 108192011 134307324 141768842 201460986 212653263 216384022 268614648 283537684 324576033 402921972 425306526 432768044 567075368 637959789 649152066 805843944 850613052 865536088 973728099 1275919578 1298304132 1701226104 1913879367 1947456198 2055648209 2551839156 2596608264 2921184297 3827758734 3894912396 4111296418 5103678312 5842368594 6166944627 7655517468 7789824792 8222592836 11684737188 12333889254 15311034936 16445185672 18500833881 23369474376 24667778508 37001667762 49335557016 55502501643 74003335524 111005003286 148006671048 222010006572 444020013144