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449255079120 = 243517110111539
BaseRepresentation
bin1101000100110011011…
…00000111110011010000
31120221121100200122021110
412202121230013303100
524330033300012440
6542215051253320
744312650110531
oct6423154076320
91527540618243
10449255079120
11163589864361
127309a74a240
1333497c71383
1417a5b9c4688
15ba45b96080
hex6899b07cd0

449255079120 has 80 divisors (see below), whose sum is σ = 1474613743680. Its totient is φ = 112754214912.

The previous prime is 449255079109. The next prime is 449255079181. The reversal of 449255079120 is 21970552944.

It is a happy number.

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

It is a super-2 number, since 2×4492550791202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 449255079120.

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, 55051690 + ... + 55059849.

It is an arithmetic number, because the mean of its divisors is an integer number (18432671796).

Almost surely, 2449255079120 is an apocalyptic number.

449255079120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

449255079120 is an abundant number, since it is smaller than the sum of its proper divisors (1025358664560).

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

449255079120 is a wasteful number, since it uses less digits than its factorization.

449255079120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110111572 (or 110111566 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 449255079120 in words is "four hundred forty-nine billion, two hundred fifty-five million, seventy-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 110111539 220223078 330334617 440446156 550557695 660669234 880892312 1101115390 1321338468 1651673085 1761784624 1871896163 2202230780 2642676936 3303346170 3743792326 4404461560 5285353872 5615688489 6606692340 7487584652 8808923120 9359480815 11231376978 13213384680 14975169304 18718961630 22462753956 26426769360 28078442445 29950338608 37437923260 44925507912 56156884890 74875846520 89851015824 112313769780 149751693040 224627539560 449255079120