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114921240893760 = 2635717101375133
BaseRepresentation
bin11010001000010100101111…
…101111011001100101000000
3120001220100210212111202202110
4122020110233233121211000
5110030332200132100020
61044230031135215320
733130533324105330
oct3210245757314500
9501810725452673
10114921240893760
1133687908548504
1210a8060b077540
134c18046342682
1420543096850c0
15d4457287c8e0
hex68852fbd9940

114921240893760 has 112 divisors (see below), whose sum is σ = 416999931267456. Its totient is φ = 26267712202752.

The previous prime is 114921240893717. The next prime is 114921240893773. The reversal of 114921240893760 is 67398042129411.

114921240893760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-5 number, since 5×1149212408937605 (a number of 72 digits) contains 55555 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114921240893760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8550680847 + ... + 8550694286.

Almost surely, 2114921240893760 is an apocalyptic number.

114921240893760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114921240893760 is an abundant number, since it is smaller than the sum of its proper divisors (302078690373696).

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

114921240893760 is a wasteful number, since it uses less digits than its factorization.

114921240893760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17101375160 (or 17101375150 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 114921240893760 in words is "one hundred fourteen trillion, nine hundred twenty-one billion, two hundred forty million, eight hundred ninety-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 17101375133 34202750266 51304125399 68405500532 85506875665 102608250798 119709625931 136811001064 171013751330 205216501596 239419251862 256520626995 273622002128 342027502660 359128877793 410433003192 478838503724 513041253990 547244004256 598548129655 684055005320 718257755586 820866006384 957677007448 1026082507980 1094488008512 1197096259310 1368110010640 1436515511172 1641732012768 1795644388965 1915354014896 2052165015960 2394192518620 2736220021280 2873031022344 3283464025536 3591288777930 3830708029792 4104330031920 4788385037240 5472440042560 5746062044688 7182577555860 7661416059584 8208660063840 9576770074480 11492124089376 14365155111720 16417320127680 19153540148960 22984248178752 28730310223440 38307080297920 57460620446880 114921240893760