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444206040060 = 223541821219941
BaseRepresentation
bin1100111011011001011…
…11100100001111111100
31120110120111000212202210
412131230233210033330
524234213221240220
6540022045020420
744043561020166
oct6355457441774
91513514025683
10444206040060
11161428802602
127210b854710
1332b71c028b3
14176dd1d9936
15b84c7a46e0
hex676cbe43fc

444206040060 has 96 divisors (see below), whose sum is σ = 1275670638144. Its totient is φ = 115424512000.

The previous prime is 444206040023. The next prime is 444206040143. The reversal of 444206040060 is 60040602444.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1909690 + ... + 2129630.

It is an arithmetic number, because the mean of its divisors is an integer number (13288235814).

Almost surely, 2444206040060 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 444206040060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637835319072).

444206040060 is an abundant number, since it is smaller than the sum of its proper divisors (831464598084).

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

444206040060 is a wasteful number, since it uses less digits than its factorization.

444206040060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220815 (or 220813 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 444206040060 in words is "four hundred forty-four billion, two hundred six million, forty thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 821 1230 1642 2460 2463 3284 4105 4926 8210 9852 12315 16420 24630 33661 49260 67322 100983 134644 168305 201966 219941 336610 403932 439882 504915 659823 673220 879764 1009830 1099705 1319646 2019660 2199410 2639292 3299115 4398820 6598230 9017581 13196460 18035162 27052743 36070324 45087905 54105486 90175810 108210972 135263715 180351620 180571561 270527430 361143122 541054860 541714683 722286244 902857805 1083429366 1805715610 2166858732 2708573415 3611431220 5417146830 7403434001 10834293660 14806868002 22210302003 29613736004 37017170005 44420604006 74034340010 88841208012 111051510015 148068680020 222103020030 444206040060