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445472300320 = 255171117714653
BaseRepresentation
bin1100111101110000011…
…01111101110100100000
31120120211201201120021221
412132320031331310200
524244311402102240
6540351441224424
744120135035105
oct6367015756440
91516751646257
10445472300320
11161a18555693
1272403932114
1333014356618
14177bd456aac
15b8c3a2ca4a
hex67b837dd20

445472300320 has 96 divisors (see below), whose sum is σ = 1114511611248. Its totient is φ = 167680770048.

The previous prime is 445472300311. The next prime is 445472300333. The reversal of 445472300320 is 23003274544.

It can be written as a sum of positive squares in 8 ways, for example, as 399004462224 + 46467838096 = 631668^2 + 215564^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 30394114 + ... + 30408766.

Almost surely, 2445472300320 is an apocalyptic number.

445472300320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

445472300320 is an abundant number, since it is smaller than the sum of its proper divisors (669039310928).

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

445472300320 is a wasteful number, since it uses less digits than its factorization.

445472300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25862 (or 25854 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 34.

Adding to 445472300320 its reverse (23003274544), we get a palindrome (468475574864).

The spelling of 445472300320 in words is "four hundred forty-five billion, four hundred seventy-two million, three hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 11177 14653 22354 29306 44708 55885 58612 73265 89416 111770 117224 146530 178832 190009 223540 234448 249101 293060 357664 380018 447080 468896 498202 586120 760036 894160 950045 996404 1172240 1245505 1520072 1788320 1900090 1992808 2344480 2491010 3040144 3800180 3985616 4982020 6080288 7600360 7971232 9964040 15200720 19928080 30401440 39856160 163776581 327553162 655106324 818882905 1310212648 1637765810 2620425296 2784201877 3275531620 5240850592 5568403754 6551063240 11136807508 13102126480 13921009385 22273615016 26204252960 27842018770 44547230032 55684037540 89094460064 111368075080 222736150160 445472300320