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444303140021020 = 225719195443854629
BaseRepresentation
bin110010100000101110110001…
…0110101010110001100011100
32011021010222001202022110012101
41211001131202311112030130
5431213430312321133040
64212542013400014444
7162404561666456110
oct14501354265261434
92137128052273171
10444303140021020
111196289a3645925
12419b8b12761424
13160bb7b613ab37
147ba055b219740
153657526eb609a
hex1941762d5631c

444303140021020 has 96 divisors (see below), whose sum is σ = 1122457094438400. Its totient is φ = 144314097617664.

The previous prime is 444303140020933. The next prime is 444303140021021. The reversal of 444303140021020 is 20120041303444.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 444303140021020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444303140021021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 519451066 + ... + 520305694.

It is an arithmetic number, because the mean of its divisors is an integer number (11692261400400).

Almost surely, 2444303140021020 is an apocalyptic number.

It is an amenable number.

444303140021020 is an abundant number, since it is smaller than the sum of its proper divisors (678153954417380).

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

444303140021020 is a wasteful number, since it uses less digits than its factorization.

444303140021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050107 (or 1050105 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 444303140021020 its reverse (20120041303444), we get a palindrome (464423181324464).

The spelling of 444303140021020 in words is "four hundred forty-four trillion, three hundred three billion, one hundred forty million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 195443 390886 781772 854629 977215 1368101 1709258 1954430 2736202 3418516 3713417 3908860 4273145 5472404 5982403 6840505 7426834 8546290 11964806 13681010 14853668 16237951 17092580 18567085 23929612 25993919 27362020 29912015 32475902 37134170 51987838 59824030 64951804 74268340 81189755 103975676 113665657 119648060 129969595 162379510 227331314 259939190 324759020 454662628 519878380 568328285 1136656570 2273313140 167031255647 334062511294 668125022588 835156278235 1169218789529 1670312556470 2338437579058 3173593857293 3340625112940 4676875158116 5846093947645 6347187714586 11692187895290 12694375429172 15867969286465 22215157001051 23384375790580 31735938572930 44430314002102 63471877145860 88860628004204 111075785005255 222151570010510 444303140021020