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448100811444 = 2231113416369049
BaseRepresentation
bin1101000010101001110…
…00111100001010110100
31120211121220201202200210
412201110320330022310
524320202301431234
6541504335305420
744242233023616
oct6412470741264
91524556652623
10448100811444
11163047253a30
1272a1807b270
1333342a9c950
141798c59adb6
15b9c9690be9
hex6854e3c2b4

448100811444 has 96 divisors (see below), whose sum is σ = 1258320470400. Its totient is φ = 122285721600.

The previous prime is 448100811443. The next prime is 448100811461. The reversal of 448100811444 is 444118001844.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448100811443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3114169 + ... + 3254880.

It is an arithmetic number, because the mean of its divisors is an integer number (13107504900).

Almost surely, 2448100811444 is an apocalyptic number.

448100811444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

448100811444 is an abundant number, since it is smaller than the sum of its proper divisors (810219658956).

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

448100811444 is a wasteful number, since it uses less digits than its factorization.

448100811444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6369121 (or 6369119 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 39.

The spelling of 448100811444 in words is "four hundred forty-eight billion, one hundred million, eight hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 41 44 52 66 78 82 123 132 143 156 164 246 286 429 451 492 533 572 858 902 1066 1353 1599 1716 1804 2132 2706 3198 5412 5863 6396 11726 17589 23452 35178 70356 6369049 12738098 19107147 25476196 38214294 70059539 76428588 82797637 140119078 165595274 210178617 248392911 261131009 280238156 331190548 420357234 496785822 522262018 783393027 840714468 910774007 993571644 1044524036 1566786054 1821548014 2732322021 2872441099 3133572108 3394703117 3643096028 5464644042 5744882198 6789406234 8617323297 10184109351 10929288084 11489764396 13578812468 17234646594 20368218702 34469293188 37341734287 40736437404 74683468574 112025202861 149366937148 224050405722 448100811444