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441144243040 = 25523831444291
BaseRepresentation
bin1100110101101100011…
…11101111001101100000
31120011200002201110212011
412122312033233031200
524211430411234130
6534354152042304
743604652124234
oct6326617571540
91504602643764
10441144243040
111600a7474146
12715b6393394
13327a4792497
14174cc7085c4
15b71daa552a
hex66b63ef360

441144243040 has 96 divisors (see below), whose sum is σ = 1100619830016. Its totient is φ = 166751946240.

The previous prime is 441144243013. The next prime is 441144243047. The reversal of 441144243040 is 40342441144.

It is a junction number, because it is equal to n+sod(n) for n = 441144242993 and 441144243011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441144243047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 416706 + ... + 1027585.

It is an arithmetic number, because the mean of its divisors is an integer number (11464789896).

Almost surely, 2441144243040 is an apocalyptic number.

441144243040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441144243040 is an abundant number, since it is smaller than the sum of its proper divisors (659475586976).

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

441144243040 is a wasteful number, since it uses less digits than its factorization.

441144243040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444412 (or 1444404 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 441144243040 its reverse (40342441144), we get a palindrome (481486684184).

The spelling of 441144243040 in words is "four hundred forty-one billion, one hundred forty-four million, two hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 83 92 115 160 166 184 230 332 368 415 460 664 736 830 920 1328 1660 1840 1909 2656 3320 3680 3818 6640 7636 9545 13280 15272 19090 30544 38180 61088 76360 152720 305440 1444291 2888582 5777164 7221455 11554328 14442910 23108656 28885820 33218693 46217312 57771640 66437386 115543280 119876153 132874772 166093465 231086560 239752306 265749544 332186930 479504612 531499088 599380765 664373860 959009224 1062998176 1198761530 1328747720 1918018448 2397523060 2657495440 2757151519 3836036896 4795046120 5314990880 5514303038 9590092240 11028606076 13785757595 19180184480 22057212152 27571515190 44114424304 55143030380 88228848608 110286060760 220572121520 441144243040