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441426046611440 = 245111237405513749
BaseRepresentation
bin110010001011110011000001…
…0101100111110111111110000
32010212221220210011110212201202
41210113212002230332333300
5430324311020413031230
64202500154251150332
7161656656641133662
oct14427460254767760
92125856704425652
10441426046611440
1111871980a3a4710
12416133a9a453a8
1315c403b3a329a7
147b011c56b8532
1536077879b9a45
hex1917982b3eff0

441426046611440 has 80 divisors (see below), whose sum is σ = 1120522082220000. Its totient is φ = 160388797608960.

The previous prime is 441426046611401. The next prime is 441426046611449. The reversal of 441426046611440 is 44116640624144.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441426046611449) 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, 201668315 + ... + 203845434.

It is an arithmetic number, because the mean of its divisors is an integer number (14006526027750).

Almost surely, 2441426046611440 is an apocalyptic number.

441426046611440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441426046611440 is an abundant number, since it is smaller than the sum of its proper divisors (679096035608560).

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

441426046611440 is a wasteful number, since it uses less digits than its factorization.

441426046611440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405515010 (or 405515004 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 47.

The spelling of 441426046611440 in words is "four hundred forty-one trillion, four hundred twenty-six billion, forty-six million, six hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1237 2474 4948 6185 9896 12370 13607 19792 24740 27214 49480 54428 68035 98960 108856 136070 217712 272140 544280 1088560 405513749 811027498 1622054996 2027568745 3244109992 4055137490 4460651239 6488219984 8110274980 8921302478 16220549960 17842604956 22303256195 32441099920 35685209912 44606512390 71370419824 89213024780 178426049560 356852099120 501620507513 1003241015026 2006482030052 2508102537565 4012964060104 5016205075130 5517825582643 8025928120208 10032410150260 11035651165286 20064820300520 22071302330572 27589127913215 40129640601040 44142604661144 55178255826430 88285209322288 110356511652860 220713023305720 441426046611440