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289295314440 = 2335111631344559
BaseRepresentation
bin1000011010110110101…
…10000010111000001000
31000122201111011122202120
410031123112002320020
514214434100030230
6340522254331240
726621002412466
oct4153326027010
91018644148676
10289295314440
11101764732630
12480984b9b20
1321385151442
1410005585836
1577d2a05310
hex435b582e08

289295314440 has 128 divisors (see below), whose sum is σ = 952593868800. Its totient is φ = 69701886720.

The previous prime is 289295314433. The next prime is 289295314453. The reversal of 289295314440 is 44413592982.

It is a super-5 number, since 5×2892953144405 (a number of 59 digits) contains 55555 as substring.

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, 457120 + ... + 887439.

It is an arithmetic number, because the mean of its divisors is an integer number (7442139600).

Almost surely, 2289295314440 is an apocalyptic number.

289295314440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289295314440 is an abundant number, since it is smaller than the sum of its proper divisors (663298554360).

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

289295314440 is a wasteful number, since it uses less digits than its factorization.

289295314440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344747 (or 1344743 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 289295314440 in words is "two hundred eighty-nine billion, two hundred ninety-five million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 163 165 220 264 326 330 440 489 652 660 815 978 1304 1320 1630 1793 1956 2445 3260 3586 3912 4890 5379 6520 7172 8965 9780 10758 14344 17930 19560 21516 26895 35860 43032 53790 71720 107580 215160 1344559 2689118 4033677 5378236 6722795 8067354 10756472 13445590 14790149 16134708 20168385 26891180 29580298 32269416 40336770 44370447 53782360 59160596 73950745 80673540 88740894 118321192 147901490 161347080 177481788 219163117 221852235 295802980 354963576 438326234 443704470 591605960 657489351 876652468 887408940 1095815585 1314978702 1753304936 1774817880 2191631170 2410794287 2629957404 3287446755 4383262340 4821588574 5259914808 6574893510 7232382861 8766524680 9643177148 12053971435 13149787020 14464765722 19286354296 24107942870 26299574040 28929531444 36161914305 48215885740 57859062888 72323828610 96431771480 144647657220 289295314440