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4450505320240 = 245743379723029
BaseRepresentation
bin100000011000011011011…
…0010011110011100110000
3120202110112100221011121021
41000300312302132130300
51040404113330221430
613244311154305224
7636352446022540
oct100606662363460
916673470834537
104450505320240
1114664a3257651
125ba655288214
132638b0aa2345
14115596db1320
157ab7b7b307a
hex40c36c9e730

4450505320240 has 160 divisors (see below), whose sum is σ = 11868326628480. Its totient is φ = 1520387407872.

The previous prime is 4450505320237. The next prime is 4450505320277. The reversal of 4450505320240 is 420235050544.

It is a junction number, because it is equal to n+sod(n) for n = 4450505320196 and 4450505320205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193245046 + ... + 193268074.

It is an arithmetic number, because the mean of its divisors is an integer number (74177041428).

Almost surely, 24450505320240 is an apocalyptic number.

4450505320240 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 4450505320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5934163314240).

4450505320240 is an abundant number, since it is smaller than the sum of its proper divisors (7417821308240).

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

4450505320240 is a wasteful number, since it uses less digits than its factorization.

4450505320240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24279 (or 24273 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 34.

The spelling of 4450505320240 in words is "four trillion, four hundred fifty billion, five hundred five million, three hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 433 560 797 866 1594 1732 2165 3031 3188 3464 3985 4330 5579 6062 6376 6928 7970 8660 11158 12124 12752 15155 15940 17320 22316 23029 24248 27895 30310 31880 34640 44632 46058 48496 55790 60620 63760 89264 92116 111580 115145 121240 161203 184232 223160 230290 242480 322406 345101 368464 446320 460580 644812 690202 806015 921160 1289624 1380404 1612030 1725505 1842320 2415707 2579248 2760808 3224060 3451010 4831414 5521616 6448120 6902020 9662828 9971557 12078535 12896240 13804040 18354113 19325656 19943114 24157070 27608080 36708226 38651312 39886228 48314140 49857785 69800899 73416452 79772456 91770565 96628280 99715570 128478791 139601798 146832904 159544912 183541130 193256560 199431140 256957582 279203596 293665808 349004495 367082260 398862280 513915164 558407192 642393955 698008990 734164520 797724560 1027830328 1116814384 1284787910 1396017980 1468329040 2055660656 2569575820 2792035960 5139151640 5584071920 7947330929 10278303280 15894661858 31789323716 39736654645 55631316503 63578647432 79473309290 111262633006 127157294864 158946618580 222525266012 278156582515 317893237160 445050532024 556313165030 635786474320 890101064048 1112626330060 2225252660120 4450505320240