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442444021308 = 22344872804041
BaseRepresentation
bin1100111000000111011…
…01111111111000111100
31120022000200111001110000
412130003231333320330
524222111132140213
6535131142514300
743652114062242
oct6340355777074
91508020431400
10442444021308
1116070412a863
12718b9735990
1332950b50553
14175b31ac792
15b797c4ec73
hex6703b7fe3c

442444021308 has 60 divisors (see below), whose sum is σ = 1159011504112. Its totient is φ = 147178451520.

The previous prime is 442444021291. The next prime is 442444021309. The reversal of 442444021308 is 803120444244.

442444021308 is a `hidden beast` number, since 4 + 4 + 244 + 402 + 1 + 3 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442444021309) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1244233 + ... + 1559808.

Almost surely, 2442444021308 is an apocalyptic number.

It is an amenable number.

442444021308 is an abundant number, since it is smaller than the sum of its proper divisors (716567482804).

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

442444021308 is a wasteful number, since it uses less digits than its factorization.

442444021308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2804544 (or 2804533 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 442444021308 in words is "four hundred forty-two billion, four hundred forty-four million, twenty-one thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 487 974 1461 1948 2922 4383 5844 8766 13149 17532 26298 39447 52596 78894 157788 2804041 5608082 8412123 11216164 16824246 25236369 33648492 50472738 75709107 100945476 151418214 227127321 302836428 454254642 908509284 1365567967 2731135934 4096703901 5462271868 8193407802 12290111703 16386815604 24580223406 36870335109 49160446812 73740670218 110611005327 147481340436 221222010654 442444021308