Search a number
-
+
445502025440 = 25523331336541
BaseRepresentation
bin1100111101110011111…
…11010110111011100000
31120120220210122202111022
412132321333112323200
524244342004303230
6540354422305012
744120645510213
oct6367177267340
91516823582438
10445502025440
11161a333085aa
1272411888168
133301a563454
14177c339377a
15b8c64501e5
hex67b9fd6ee0

445502025440 has 96 divisors (see below), whose sum is σ = 1098620905536. Its totient is φ = 170396835840.

The previous prime is 445502025421. The next prime is 445502025469. The reversal of 445502025440 is 44520205544.

It is a super-2 number, since 2×4455020254402 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 445502025440.

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, 12173570 + ... + 12210110.

It is an arithmetic number, because the mean of its divisors is an integer number (11443967766).

Almost surely, 2445502025440 is an apocalyptic number.

445502025440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445502025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549310452768).

445502025440 is an abundant number, since it is smaller than the sum of its proper divisors (653118880096).

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

445502025440 is a wasteful number, since it uses less digits than its factorization.

445502025440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39892 (or 39884 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 35.

The spelling of 445502025440 in words is "four hundred forty-five billion, five hundred two million, twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3313 3680 6626 13252 16565 26504 33130 36541 53008 66260 73082 76199 106016 132520 146164 152398 182705 265040 292328 304796 365410 380995 530080 584656 609592 730820 761990 840443 1169312 1219184 1461640 1523980 1680886 2438368 2923280 3047960 3361772 4202215 5846560 6095920 6723544 8404430 12191840 13447088 16808860 26894176 33617720 67235440 121060333 134470880 242120666 484241332 605301665 968482664 1210603330 1936965328 2421206660 2784387659 3873930656 4842413320 5568775318 9684826640 11137550636 13921938295 19369653280 22275101272 27843876590 44550202544 55687753180 89100405088 111375506360 222751012720 445502025440