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449439363934944 = 25317934972945461
BaseRepresentation
bin110011000110000110100000…
…1101000101010101011100000
32011221022222120000202102001220
41212030031001220222223200
5432402103304131404234
64231513332103455040
7163444631262421245
oct14614150150525340
92157288500672056
10449439363934944
11120229189099129
12424a8439757480
13163a1c47680716
147cdada48c55cc
1536e5e38b63a49
hex198c341a2aae0

449439363934944 has 96 divisors (see below), whose sum is σ = 1249190840360736. Its totient is φ = 140999028817920.

The previous prime is 449439363934909. The next prime is 449439363935017.

449439363934944 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 449439363934944.

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, 151114374 + ... + 154059834.

It is an arithmetic number, because the mean of its divisors is an integer number (13012404587091).

Almost surely, 2449439363934944 is an apocalyptic number.

It is an amenable number.

449439363934944 is an abundant number, since it is smaller than the sum of its proper divisors (799751476425792).

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

449439363934944 is a wasteful number, since it uses less digits than its factorization.

449439363934944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3038988 (or 3038980 counting only the distinct ones).

The product of its digits is 13060694016, while the sum is 78.

The spelling of 449439363934944 in words is "four hundred forty-nine trillion, four hundred thirty-nine billion, three hundred sixty-three million, nine hundred thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 93497 186994 280491 373988 560982 747976 1121964 1495952 1589449 2243928 2945461 2991904 3178898 4487856 4768347 5890922 6357796 8836383 8975712 9536694 11781844 12715592 17672766 19073388 23563688 25431184 35345532 38146776 47127376 50072837 50862368 70691064 76293552 94254752 100145674 141382128 150218511 152587104 200291348 282764256 300437022 400582696 600874044 801165392 1201748088 1602330784 2403496176 4806992352 275391767117 550783534234 826175301351 1101567068468 1652350602702 2203134136936 3304701205404 4406268273872 4681660040989 6609402410808 8812536547744 9363320081978 13218804821616 14044980122967 18726640163956 26437609643232 28089960245934 37453280327912 56179920491868 74906560655824 112359840983736 149813121311648 224719681967472 449439363934944