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114460514244336 = 24313971891034137
BaseRepresentation
bin11010000001100111101010…
…010010101101011011110000
3120000021022121001000222101210
4122001213222102231123300
5110000310113121304321
61043234233452200120
733052333150153221
oct3201475222553360
9500238531028353
10114460514244336
113351a482347637
1210a0726a769040
134bb3770866ba0
142039cc0319248
15d375a9a47b76
hex6819ea4ad6f0

114460514244336 has 80 divisors (see below), whose sum is σ = 321717855829664. Its totient is φ = 34855541194752.

The previous prime is 114460514244311. The next prime is 114460514244347. The reversal of 114460514244336 is 633442415064411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 945456541 + ... + 945577596.

Almost surely, 2114460514244336 is an apocalyptic number.

114460514244336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114460514244336 is an abundant number, since it is smaller than the sum of its proper divisors (207257341585328).

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

114460514244336 is a wasteful number, since it uses less digits than its factorization.

114460514244336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891034258 (or 1891034252 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 114460514244336 in words is "one hundred fourteen trillion, four hundred sixty billion, five hundred fourteen million, two hundred forty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 97 104 156 194 208 291 312 388 582 624 776 1164 1261 1552 2328 2522 3783 4656 5044 7566 10088 15132 20176 30264 60528 1891034137 3782068274 5673102411 7564136548 11346204822 15128273096 22692409644 24583443781 30256546192 45384819288 49166887562 73750331343 90769638576 98333775124 147500662686 183430311289 196667550248 295001325372 366860622578 393335100496 550290933867 590002650744 733721245156 1100581867734 1180005301488 1467442490312 2201163735468 2384594046757 2934884980624 4402327470936 4769188093514 7153782140271 8804654941872 9538376187028 14307564280542 19076752374056 28615128561084 38153504748112 57230257122168 114460514244336