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114353353404345 = 351110117881383753
BaseRepresentation
bin11010000000000011110111…
…000000100010111110111001
3112222220001222211000021101010
4122000003313000202332321
5104442031131432414340
61043113112203344133
733041520462100206
oct3200036700427671
9488801884007333
10114353353404345
1133488a918a1460
12109aa542822049
134ba6623628623
142034a36230cad
15d348d6d22b80
hex6800f7022fb9

114353353404345 has 64 divisors (see below), whose sum is σ = 201586602486528. Its totient is φ = 54891886080000.

The previous prime is 114353353404317. The next prime is 114353353404349. The reversal of 114353353404345 is 543404353353411.

It is not a de Polignac number, because 114353353404345 - 223 = 114353345015737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114353353404294 and 114353353404303.

It is not an unprimeable number, because it can be changed into a prime (114353353404349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 297794989 + ... + 298178741.

It is an arithmetic number, because the mean of its divisors is an integer number (3149790663852).

Almost surely, 2114353353404345 is an apocalyptic number.

114353353404345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114353353404345 is a deficient number, since it is larger than the sum of its proper divisors (87233249082183).

114353353404345 is a wasteful number, since it uses less digits than its factorization.

114353353404345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401754.

The product of its (nonzero) digits is 7776000, while the sum is 48.

The spelling of 114353353404345 in words is "one hundred fourteen trillion, three hundred fifty-three billion, three hundred fifty-three million, four hundred four thousand, three hundred forty-five".

Divisors: 1 3 5 11 15 33 55 101 165 303 505 1111 1515 3333 5555 16665 17881 53643 89405 196691 268215 383753 590073 983455 1151259 1805981 1918765 2950365 4221283 5417943 5756295 9029905 12663849 19865791 21106415 27089715 38759053 59597373 63319245 99328955 116277159 193795265 297986865 426349583 581385795 1279048749 2131747915 6395243745 6861887393 20585662179 34309436965 75480761323 102928310895 226442283969 377403806615 693050626693 1132211419845 2079151880079 3465253133465 7623556893623 10395759400395 22870670680869 38117784468115 114353353404345