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114224154243150 = 23527836313007881
BaseRepresentation
bin11001111110001011100010…
…001000110111000001001110
3112222102201111200222212001210
4121332023202020313001032
5104432422031441240100
61042533504013115250
733026265011251650
oct3176134210670116
9488381450885053
10114224154243150
1133439212286386
12109894a6188b26
134b973a363b713
14202c69b26c6d0
15d3137444ec50
hex67e2e223704e

114224154243150 has 96 divisors (see below), whose sum is σ = 323782624942848. Its totient is φ = 26105254214400.

The previous prime is 114224154243149. The next prime is 114224154243337. The reversal of 114224154243150 is 51342451422411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 114224154243099 and 114224154243108.

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 47 ways as a sum of consecutive naturals, for example, 2277210 + ... + 15285090.

It is an arithmetic number, because the mean of its divisors is an integer number (3372735676488).

Almost surely, 2114224154243150 is an apocalyptic number.

114224154243150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114224154243150 is an abundant number, since it is smaller than the sum of its proper divisors (209558470699698).

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

114224154243150 is a wasteful number, since it uses less digits than its factorization.

114224154243150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13016266 (or 13016261 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The spelling of 114224154243150 in words is "one hundred fourteen trillion, two hundred twenty-four billion, one hundred fifty-four million, two hundred forty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 1050 8363 16726 25089 41815 50178 58541 83630 117082 125445 175623 209075 250890 292705 351246 418150 585410 627225 878115 1254450 1463525 1756230 2927050 4390575 8781150 13007881 26015762 39023643 65039405 78047286 91055167 130078810 182110334 195118215 273165501 325197025 390236430 455275835 546331002 650394050 910551670 975591075 1365827505 1951182150 2276379175 2731655010 4552758350 6829137525 13658275050 108784908803 217569817606 326354726409 543924544015 652709452818 761494361621 1087849088030 1522988723242 1631773632045 2284483084863 2719622720075 3263547264090 3807471808105 4568966169726 5439245440150 7614943616210 8158868160225 11422415424315 16317736320450 19037359040525 22844830848630 38074718081050 57112077121575 114224154243150