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320143113444224 = 27719107175751393
BaseRepresentation
bin100100011001010110010000…
…0100011011101101110000000
31112222112101100000121022211002
41020302230200203131232000
5313430211044020203344
63052515414352111132
7124301401536642110
oct11062544043355600
91488471300538732
10320143113444224
1193009a284753a4
122baa5a68b354a8
131098349b302015
14590b01b9b9040
1527029cc91844e
hex1232b208ddb80

320143113444224 has 128 divisors (see below), whose sum is σ = 774430942521600. Its totient is φ = 128768123879424.

The previous prime is 320143113444163. The next prime is 320143113444227. The reversal of 320143113444224 is 422444311341023.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3201431134442242 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320143113444227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86054129 + ... + 89697264.

It is an arithmetic number, because the mean of its divisors is an integer number (6050241738450).

Almost surely, 2320143113444224 is an apocalyptic number.

It is an amenable number.

320143113444224 is an abundant number, since it is smaller than the sum of its proper divisors (454287829077376).

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

320143113444224 is a wasteful number, since it uses less digits than its factorization.

320143113444224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175751540 (or 175751528 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

Adding to 320143113444224 its reverse (422444311341023), we get a palindrome (742587424785247).

The spelling of 320143113444224 in words is "three hundred twenty trillion, one hundred forty-three billion, one hundred thirteen million, four hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 107 112 128 133 152 214 224 266 304 428 448 532 608 749 856 896 1064 1216 1498 1712 2033 2128 2432 2996 3424 4066 4256 5992 6848 8132 8512 11984 13696 14231 16264 17024 23968 28462 32528 47936 56924 65056 95872 113848 130112 227696 260224 455392 910784 1821568 175751393 351502786 703005572 1230259751 1406011144 2460519502 2812022288 3339276467 4921039004 5624044576 6678552934 9842078008 11248089152 13357105868 18805399051 19684156016 22496178304 23374935269 26714211736 37610798102 39368312032 46749870538 53428423472 75221596204 78736624064 93499741076 106856846944 131637793357 150443192408 157473248128 186999482152 213713693888 263275586714 300886384816 357302581969 373998964304 427427387776 526551173428 601772769632 714605163938 747997928608 1053102346856 1203545539264 1429210327876 1495995857216 2106204693712 2407091078528 2501118073783 2858420655752 2991991714432 4212409387424 5002236147566 5716841311504 8424818774848 10004472295132 11433682623008 16849637549696 20008944590264 22867365246016 40017889180528 45734730492032 80035778361056 160071556722112 320143113444224