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444020022240 = 25354122561993
BaseRepresentation
bin1100111011000011010…
…01111101101111100000
31120110002112000012021220
412131201221331233200
524233323111202430
6535551402015040
744036141626164
oct6354151755740
91513075005256
10444020022240
111613427aa673
12720794a7480
1332b42502892
14176c2616ca4
15b83b2ad110
hex6761a7dbe0

444020022240 has 96 divisors (see below), whose sum is σ = 1432776866976. Its totient is φ = 115517399040.

The previous prime is 444020022239. The next prime is 444020022253. The reversal of 444020022240 is 42220020444.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 444020022240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11261317 + ... + 11300676.

It is an arithmetic number, because the mean of its divisors is an integer number (14924759031).

Almost surely, 2444020022240 is an apocalyptic number.

444020022240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444020022240 is an abundant number, since it is smaller than the sum of its proper divisors (988756844736).

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

444020022240 is a wasteful number, since it uses less digits than its factorization.

444020022240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22562052 (or 22562044 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 444020022240 its reverse (42220020444), we get a palindrome (486240042684).

The spelling of 444020022240 in words is "four hundred forty-four billion, twenty million, twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 328 410 480 492 615 656 820 984 1230 1312 1640 1968 2460 3280 3936 4920 6560 9840 19680 22561993 45123986 67685979 90247972 112809965 135371958 180495944 225619930 270743916 338429895 360991888 451239860 541487832 676859790 721983776 902479720 925041713 1082975664 1353719580 1804959440 1850083426 2165951328 2707439160 2775125139 3609918880 3700166852 4625208565 5414878320 5550250278 7400333704 9250417130 10829756640 11100500556 13875625695 14800667408 18500834260 22201001112 27751251390 29601334816 37001668520 44402002224 55502502780 74003337040 88804004448 111005005560 148006674080 222010011120 444020022240