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114423243440 = 24511231873709
BaseRepresentation
bin110101010010000101…
…0000010001010110000
3101221100100112000200012
41222210022002022300
53333314322242230
6124322035114052
711160341343632
oct1524412021260
9357310460605
10114423243440
1144587a35400
121a214142928
13aa36a0a70c
14577682ca52
152e9a5c3395
hex1aa42822b0

114423243440 has 120 divisors (see below), whose sum is σ = 292588200240. Its totient is φ = 41584181760.

The previous prime is 114423243433. The next prime is 114423243481. The reversal of 114423243440 is 44342324411.

It is a junction number, because it is equal to n+sod(n) for n = 114423243397 and 114423243406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30848306 + ... + 30852014.

It is an arithmetic number, because the mean of its divisors is an integer number (2438235002).

Almost surely, 2114423243440 is an apocalyptic number.

114423243440 is a gapful number since it is divisible by the number (10) 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 114423243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146294100120).

114423243440 is an abundant number, since it is smaller than the sum of its proper divisors (178164956800).

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

114423243440 is a wasteful number, since it uses less digits than its factorization.

114423243440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6931 (or 6914 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 114423243440 its reverse (44342324411), we get a palindrome (158765567851).

The spelling of 114423243440 in words is "one hundred fourteen billion, four hundred twenty-three million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 3187 3709 4840 6374 7418 9680 12748 14836 15935 18545 25496 29672 31870 35057 37090 40799 50992 59344 63740 70114 74180 81598 127480 140228 148360 163196 175285 203995 254960 280456 296720 326392 350570 385627 407990 448789 560912 652784 701140 771254 815980 897578 1402280 1542508 1631960 1795156 1928135 2243945 2804560 3085016 3263920 3590312 3856270 4487890 6170032 7180624 7712540 8975780 11820583 15425080 17951560 23641166 30850160 35903120 47282332 59102915 94564664 118205830 130026413 189129328 236411660 260052826 472823320 520105652 650132065 945646640 1040211304 1300264130 1430290543 2080422608 2600528260 2860581086 5201056520 5721162172 7151452715 10402113040 11442324344 14302905430 22884648688 28605810860 57211621720 114423243440