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84440044408080 = 243511314232188033
BaseRepresentation
bin10011001100110000111010…
…110110100000110100010000
3102001222101111212201210111010
4103030300322312200310100
542031431202332024310
6455331115413250520
723533410005643054
oct2314607266406420
9361871455653433
1084440044408080
11249a59047a2639
129579068033a40
13381687b5c95ba
1416bccc4503c64
159b672cb47320
hex4ccc3ada0d10

84440044408080 has 160 divisors (see below), whose sum is σ = 264266335443456. Its totient is φ = 22302382620672.

The previous prime is 84440044408061. The next prime is 84440044408133. The reversal of 84440044408080 is 8080444004448.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37497744 + ... + 39685776.

Almost surely, 284440044408080 is an apocalyptic number.

84440044408080 is a gapful number since it is divisible by the number (80) 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 84440044408080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132133167721728).

84440044408080 is an abundant number, since it is smaller than the sum of its proper divisors (179826291035376).

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

84440044408080 is a wasteful number, since it uses less digits than its factorization.

84440044408080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189585 (or 2189579 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 48.

The spelling of 84440044408080 in words is "eighty-four trillion, four hundred forty billion, forty-four million, four hundred eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 113 120 226 240 339 452 565 678 904 1130 1356 1423 1695 1808 2260 2712 2846 3390 4269 4520 5424 5692 6780 7115 8538 9040 11384 13560 14230 17076 21345 22768 27120 28460 34152 42690 56920 68304 85380 113840 160799 170760 321598 341520 482397 643196 803995 964794 1286392 1607990 1929588 2188033 2411985 2572784 3215980 3859176 4376066 4823970 6431960 6564099 7718352 8752132 9647940 10940165 12863920 13128198 17504264 19295880 21880330 26256396 32820495 35008528 38591760 43760660 52512792 65640990 87521320 105025584 131281980 175042640 247247729 262563960 494495458 525127920 741743187 988990916 1236238645 1483486374 1977981832 2472477290 2966972748 3113570959 3708715935 3955963664 4944954580 5933945496 6227141918 7417431870 9340712877 9889909160 11867890992 12454283836 14834863740 15567854795 18681425754 19779818320 24908567672 29669727480 31135709590 37362851508 46703564385 49817135344 59339454960 62271419180 74725703016 93407128770 124542838360 149451406032 186814257540 249085676720 351833518367 373628515080 703667036734 747257030160 1055500555101 1407334073468 1759167591835 2111001110202 2814668146936 3518335183670 4222002220404 5277502775505 5629336293872 7036670367340 8444004440808 10555005551010 14073340734680 16888008881616 21110011102020 28146681469360 42220022204040 84440044408080