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449226409008 = 243132129742697
BaseRepresentation
bin1101000100101111111…
…10110000010000110000
31120221112100202001021110
412202113332300100300
524330003430042013
6542212144553320
744312151321306
oct6422776602060
91527470661243
10449226409008
11163574662053
1273091022840
1333492043800
1417a57c80276
15ba433d12c3
hex6897fb0430

449226409008 has 120 divisors (see below), whose sum is σ = 1257636114768. Its totient is φ = 138113703936.

The previous prime is 449226409007. The next prime is 449226409033. The reversal of 449226409008 is 800904622944.

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

It is not an unprimeable number, because it can be changed into a prime (449226409001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10499916 + ... + 10542612.

Almost surely, 2449226409008 is an apocalyptic number.

449226409008 is a gapful number since it is divisible by the number (48) 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 449226409008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628818057384).

449226409008 is an abundant number, since it is smaller than the sum of its proper divisors (808409705760).

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

449226409008 is a wasteful number, since it uses less digits than its factorization.

449226409008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44031 (or 44012 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 449226409008 in words is "four hundred forty-nine billion, two hundred twenty-six million, four hundred nine thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1297 1352 2028 2594 2704 3891 4056 5188 7782 8112 10376 15564 16861 20752 31128 33722 42697 50583 62256 67444 85394 101166 128091 134888 170788 202332 219193 256182 269776 341576 404664 438386 512364 555061 657579 683152 809328 876772 1024728 1110122 1315158 1665183 1753544 2049456 2220244 2630316 3330366 3507088 4440488 5260632 6660732 7215793 8880976 10521264 13321464 14431586 21647379 26642928 28863172 43294758 55378009 57726344 86589516 110756018 115452688 166134027 173179032 221512036 332268054 346358064 443024072 664536108 719914117 886048144 1329072216 1439828234 2159742351 2658144432 2879656468 4319484702 5759312936 8638969404 9358883521 11518625872 17277938808 18717767042 28076650563 34555877616 37435534084 56153301126 74871068168 112306602252 149742136336 224613204504 449226409008