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114343323424 = 25112317113417
BaseRepresentation
bin110101001111101100…
…1001010011100100000
3101221010210010200000121
41222133121022130200
53333133342322144
6124310102130024
711155351132651
oct1523731123440
9357123120017
10114343323424
1144546909300
121a1b1420914
13aa232a7875
145769d87528
152e93588384
hex1a9f64a720

114343323424 has 144 divisors (see below), whose sum is σ = 259037388288. Its totient is φ = 49585536000.

The previous prime is 114343323373. The next prime is 114343323431. The reversal of 114343323424 is 424323343411.

It is a super-2 number, since 2×1143433234242 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114343323424.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8515564 + ... + 8528980.

It is an arithmetic number, because the mean of its divisors is an integer number (1798870752).

Almost surely, 2114343323424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114343323424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129518694144).

114343323424 is an abundant number, since it is smaller than the sum of its proper divisors (144694064864).

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

114343323424 is a wasteful number, since it uses less digits than its factorization.

114343323424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13551 (or 13532 counting only the distinct ones).

The product of its digits is 82944, while the sum is 34.

Adding to 114343323424 its reverse (424323343411), we get a palindrome (538666666835).

The spelling of 114343323424 in words is "one hundred fourteen billion, three hundred forty-three million, three hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 71 88 121 124 142 176 242 248 284 341 352 484 496 568 682 781 968 992 1136 1364 1562 1936 2201 2272 2728 3124 3751 3872 4402 5456 6248 7502 8591 8804 10912 12496 13417 15004 17182 17608 24211 24992 26834 30008 34364 35216 48422 53668 60016 68728 70432 96844 107336 120032 137456 147587 193688 214672 266321 274912 295174 387376 415927 429344 532642 590348 774752 831854 952607 1065284 1180696 1623457 1663708 1905214 2130568 2361392 3246914 3327416 3810428 4261136 4575197 4722784 6493828 6654832 7620856 8522272 9150394 10478677 12987656 13309664 15241712 18300788 20957354 25975312 29530817 30483424 36601576 41914708 50327167 51950624 59061634 73203152 83829416 100654334 115265447 118123268 146406304 167658832 201308668 230530894 236246536 324838987 335317664 402617336 461061788 472493072 649677974 805234672 922123576 944986144 1299355948 1610469344 1844247152 2598711896 3573228857 3688494304 5197423792 7146457714 10394847584 14292915428 28585830856 57171661712 114343323424