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114223011304140 = 223251933398541317
BaseRepresentation
bin11001111110001010011110…
…000000111001001011001100
3112222102121120001100112111100
4121332022132000321023030
5104432412211343213030
61042533154344023100
733026224462400154
oct3176123600711314
9488377501315440
10114223011304140
1133438786103392
1210989227461a90
134b9725090554b
14202c5cd553764
15d31308e36360
hex67e29e0392cc

114223011304140 has 72 divisors (see below), whose sum is σ = 364712071192560. Its totient is φ = 28856339697024.

The previous prime is 114223011304097. The next prime is 114223011304183. The reversal of 114223011304140 is 41403110322411.

It is a happy number.

114223011304140 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 230 + 1 + 13 + 0 + 414 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (114223011304097) and next prime (114223011304183).

It is a super-2 number, since 2×1142230113041402 (a number of 29 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 16699267239 + ... + 16699274078.

It is an arithmetic number, because the mean of its divisors is an integer number (5065445433230).

Almost surely, 2114223011304140 is an apocalyptic number.

114223011304140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114223011304140 is an abundant number, since it is smaller than the sum of its proper divisors (250489059888420).

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

114223011304140 is a wasteful number, since it uses less digits than its factorization.

114223011304140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33398541351 (or 33398541346 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 114223011304140 its reverse (41403110322411), we get a palindrome (155626121626551).

The spelling of 114223011304140 in words is "one hundred fourteen trillion, two hundred twenty-three billion, eleven million, three hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 33398541317 66797082634 100195623951 133594165268 166992706585 200391247902 300586871853 333985413170 400782495804 500978119755 601173743706 634572285023 667970826340 1001956239510 1202347487412 1269144570046 1502934359265 1903716855069 2003912479020 2538289140092 3005868718530 3172861425115 3807433710138 5711150565207 6011737437060 6345722850230 7614867420276 9518584275345 11422301130414 12691445700460 19037168550690 22844602260828 28555752826035 38074337101380 57111505652070 114223011304140