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114003003444 = 2231119283160621
BaseRepresentation
bin110101000101100011…
…0111100100000110100
3101220021001202121202220
41222023012330200310
53331434232102234
6124212224002340
711144046353301
oct1521306744064
9356231677686
10114003003444
11443917a5920
121a1174603b0
13a99a9306b5
145736aba0a8
152e73762a49
hex1a8b1bc834

114003003444 has 96 divisors (see below), whose sum is σ = 306543874560. Its totient is φ = 32612284800.

The previous prime is 114003003437. The next prime is 114003003449. The reversal of 114003003444 is 444300300411.

It is a super-2 number, since 2×1140030034442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114003003449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 629454 + ... + 790074.

It is an arithmetic number, because the mean of its divisors is an integer number (3193165360).

Almost surely, 2114003003444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114003003444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153271937280).

114003003444 is an abundant number, since it is smaller than the sum of its proper divisors (192540871116).

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

114003003444 is a wasteful number, since it uses less digits than its factorization.

114003003444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160941 (or 160939 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 114003003444 its reverse (444300300411), we get a palindrome (558303303855).

The spelling of 114003003444 in words is "one hundred fourteen billion, three million, three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 283 418 566 627 836 849 1132 1254 1698 2508 3113 3396 5377 6226 9339 10754 12452 16131 18678 21508 32262 37356 59147 64524 118294 160621 177441 236588 321242 354882 481863 642484 709764 963726 1766831 1927452 3051799 3533662 5300493 6103598 7067324 9155397 10600986 12207196 18310794 21201972 33569789 36621588 45455743 67139578 90911486 100709367 134279156 136367229 181822972 201418734 272734458 402837468 500013173 545468916 863659117 1000026346 1500039519 1727318234 2000052692 2590977351 3000079038 3454636468 5181954702 6000158076 9500250287 10363909404 19000500574 28500750861 38001001148 57001501722 114003003444