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111440213214000 = 24353111688488079
BaseRepresentation
bin11001010101101010110010…
…010100101000001100110000
3112121120120200001210111201020
4121111222302110220030300
5104101314024040322000
61033002532135135440
732321201241041556
oct3125526224501460
9477516601714636
10111440213214000
1132565590134340
12105b9a39b14580
134a249c81905c8
141d73a41179bd6
15cd3c37e23ba0
hex655ab2528330

111440213214000 has 160 divisors (see below), whose sum is σ = 391945361034240. Its totient is φ = 27015809248000.

The previous prime is 111440213213921. The next prime is 111440213214007. The reversal of 111440213214000 is 412312044111.

It is a happy number.

It is a super-3 number, since 3×1114402132140003 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (111440213214007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 844178040 + ... + 844310039.

It is an arithmetic number, because the mean of its divisors is an integer number (2449658506464).

Almost surely, 2111440213214000 is an apocalyptic number.

111440213214000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111440213214000 is an abundant number, since it is smaller than the sum of its proper divisors (280505147820240).

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

111440213214000 is a wasteful number, since it uses less digits than its factorization.

111440213214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688488116 (or 1688488100 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 111440213214000 its reverse (412312044111), we get a palindrome (111852525258111).

The spelling of 111440213214000 in words is "one hundred eleven trillion, four hundred forty billion, two hundred thirteen million, two hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 1688488079 3376976158 5065464237 6753952316 8442440395 10130928474 13507904632 16884880790 18573368869 20261856948 25327321185 27015809264 33769761580 37146737738 40523713896 42212201975 50654642370 55720106607 67539523160 74293475476 81047427792 84424403950 92866844345 101309284740 111440213214 126636605925 135079046320 148586950952 168848807900 185733688690 202618569480 211061009875 222880426428 253273211850 278600533035 297173901904 337697615800 371467377380 405237138960 422122019750 445760852856 464334221725 506546423700 557201066070 633183029625 675395231600 742934754760 844244039500 891521705712 928668443450 1013092847400 1114402132140 1266366059250 1393002665175 1485869509520 1688488079000 1857336886900 2026185694800 2228804264280 2321671108625 2532732118500 2786005330350 3376976158000 3714673773800 4457608528560 4643342217250 5065464237000 5572010660700 6965013325875 7429347547600 9286684434500 10130928474000 11144021321400 13930026651750 18573368869000 22288042642800 27860053303500 37146737738000 55720106607000 111440213214000