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114224423211104 = 25232947113863703
BaseRepresentation
bin11001111110001011110010…
…001010111001000001100000
3112222102202012110002211201212
4121332023302022321001200
5104432423104320223404
61042533550422045252
733026304455404043
oct3176136212710140
9488382173084655
10114224423211104
1133439340094a48
1210989560279828
134b9741729285b
14202c6c4c84c5a
15d3138cd7e06e
hex67e2f22b9060

114224423211104 has 96 divisors (see below), whose sum is σ = 247913165445120. Its totient is φ = 51623069757952.

The previous prime is 114224423211103. The next prime is 114224423211131. The reversal of 114224423211104 is 401112324422411.

It is a happy number.

It is a super-3 number, since 3×1142244232111043 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114224423211103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55928684 + ... + 57935019.

It is an arithmetic number, because the mean of its divisors is an integer number (2582428806720).

Almost surely, 2114224423211104 is an apocalyptic number.

It is an amenable number.

114224423211104 is an abundant number, since it is smaller than the sum of its proper divisors (133688742234016).

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

114224423211104 is a wasteful number, since it uses less digits than its factorization.

114224423211104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113863812 (or 113863804 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 114224423211104 its reverse (401112324422411), we get a palindrome (515336747633515).

The spelling of 114224423211104 in words is "one hundred fourteen trillion, two hundred twenty-four billion, four hundred twenty-three million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 23 29 32 46 47 58 92 94 116 184 188 232 368 376 464 667 736 752 928 1081 1334 1363 1504 2162 2668 2726 4324 5336 5452 8648 10672 10904 17296 21344 21808 31349 34592 43616 62698 125396 250792 501584 1003168 113863703 227727406 455454812 910909624 1821819248 2618865169 3302047387 3643638496 5237730338 5351594041 6604094774 10475460676 10703188082 13208189548 20950921352 21406376164 26416379096 41901842704 42812752328 52832758192 75947089901 83803685408 85625504656 105665516384 123086662943 151894179802 155196227189 171251009312 246173325886 303788359604 310392454378 492346651772 607576719208 620784908756 984693303544 1215153438416 1241569817512 1969386607088 2430306876832 2483139635024 3569513225347 3938773214176 4966279270048 7139026450694 14278052901388 28556105802776 57112211605552 114224423211104