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80443444434408 = 23331161555027353
BaseRepresentation
bin10010010010100110110010…
…111011100001010111101000
3101112211022120221210022212000
4102102212302323201113220
541020441133233400113
6443031112545451000
722641563354454066
oct2222466273412750
9345738527708760
1080443444434408
11236a4967255090
12903258a940a60
1335b6a27035983
1415c16aa97b036
159477ba3ec373
hex4929b2ee15e8

80443444434408 has 128 divisors (see below), whose sum is σ = 247764210825600. Its totient is φ = 23977181606400.

The previous prime is 80443444434383. The next prime is 80443444434439.

80443444434408 is a `hidden beast` number, since 80 + 4 + 43 + 4 + 44 + 43 + 440 + 8 = 666.

80443444434408 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×804434444344082 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277368741 + ... + 277658612.

It is an arithmetic number, because the mean of its divisors is an integer number (1935657897075).

Almost surely, 280443444434408 is an apocalyptic number.

80443444434408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

80443444434408 is an abundant number, since it is smaller than the sum of its proper divisors (167320766391192).

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

80443444434408 is a wasteful number, since it uses less digits than its factorization.

80443444434408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555027440 (or 555027430 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 54.

The spelling of 80443444434408 in words is "eighty trillion, four hundred forty-three billion, four hundred forty-four million, four hundred thirty-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 61 66 72 88 99 108 122 132 183 198 216 244 264 297 366 396 488 549 594 671 732 792 1098 1188 1342 1464 1647 2013 2196 2376 2684 3294 4026 4392 5368 6039 6588 8052 12078 13176 16104 18117 24156 36234 48312 72468 144936 555027353 1110054706 1665082059 2220109412 3330164118 4440218824 4995246177 6105300883 6660328236 9990492354 12210601766 13320656472 14985738531 18315902649 19980984708 24421203532 29971477062 33856668533 36631805298 39961969416 48842407064 54947707947 59942954124 67713337066 73263610596 101570005599 109895415894 119885908248 135426674132 146527221192 164843123841 203140011198 219790831788 270853348264 304710016797 329686247682 372423353863 406280022396 439581663576 609420033594 659372495364 744846707726 812560044792 914130050391 1117270061589 1218840067188 1318744990728 1489693415452 1828260100782 2234540123178 2437680134376 2979386830904 3351810184767 3656520201564 4469080246356 6703620369534 7313040403128 8938160492712 10055430554301 13407240739068 20110861108602 26814481478136 40221722217204 80443444434408