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83214484341440 = 2654310955482241
BaseRepresentation
bin10010111010111011100001…
…110001111000001011000000
3101220122020010111020202200212
4102322323201301320023000
541401341230442411230
6452552112323533252
723346022332156224
oct2272734161701300
9356566114222625
1083214484341440
1124573079017131
1293bb63652a228
133758127751c0a
1416798614c2784
159948ee008895
hex4baee1c782c0

83214484341440 has 112 divisors (see below), whose sum is σ = 204622947075360. Its totient is φ = 32213432401920.

The previous prime is 83214484341427. The next prime is 83214484341467. The reversal of 83214484341440 is 4414348441238.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26241281 + ... + 29240960.

Almost surely, 283214484341440 is an apocalyptic number.

83214484341440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83214484341440 is an abundant number, since it is smaller than the sum of its proper divisors (121408462733920).

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

83214484341440 is a wasteful number, since it uses less digits than its factorization.

83214484341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55482410 (or 55482400 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 50.

The spelling of 83214484341440 in words is "eighty-three trillion, two hundred fourteen billion, four hundred eighty-four million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 109 160 172 215 218 320 344 430 436 545 688 860 872 1090 1376 1720 1744 2180 2752 3440 3488 4360 4687 6880 6976 8720 9374 13760 17440 18748 23435 34880 37496 46870 74992 93740 149984 187480 299968 374960 749920 1499840 55482241 110964482 221928964 277411205 443857928 554822410 887715856 1109644820 1775431712 2219289640 2385736363 3550863424 4438579280 4771472726 6047564269 8877158560 9542945452 11928681815 12095128538 17754317120 19085890904 23857363630 24190257076 30237821345 38171781808 47714727260 48380514152 60475642690 76343563616 95429454520 96761028304 120951285380 152687127232 190858909040 193522056608 241902570760 260045263567 381717818080 387044113216 483805141520 520090527134 763435636160 967610283040 1040181054268 1300226317835 1935220566080 2080362108536 2600452635670 4160724217072 5200905271340 8321448434144 10401810542680 16642896868288 20803621085360 41607242170720 83214484341440