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114744199932 = 223247597116189
BaseRepresentation
bin110101011011101001…
…0011000101011111100
3101222011201110022012200
41222313102120223330
53334444003344212
6124413542231500
711201316415065
oct1526722305374
9358151408180
10114744199932
11447321227aa
121a2a3725590
13aa883650bb
1457a72d956c
152eb88716dc
hex1ab7498afc

114744199932 has 144 divisors (see below), whose sum is σ = 305501414400. Its totient is φ = 36279250560.

The previous prime is 114744199919. The next prime is 114744199951. The reversal of 114744199932 is 239991447411.

It is a happy number.

114744199932 is a `hidden beast` number, since 11 + 474 + 41 + 9 + 99 + 32 = 666.

114744199932 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7079694 + ... + 7095882.

It is an arithmetic number, because the mean of its divisors is an integer number (2121537600).

Almost surely, 2114744199932 is an apocalyptic number.

114744199932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114744199932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152750707200).

114744199932 is an abundant number, since it is smaller than the sum of its proper divisors (190757214468).

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

114744199932 is a wasteful number, since it uses less digits than its factorization.

114744199932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16376 (or 16371 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 114744199932 in words is "one hundred fourteen billion, seven hundred forty-four million, one hundred ninety-nine thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 59 71 94 118 141 142 177 188 213 236 282 284 354 423 426 531 564 639 708 846 852 1062 1278 1692 2124 2556 2773 3337 4189 5546 6674 8319 8378 10011 11092 12567 13348 16189 16638 16756 20022 24957 25134 30033 32378 33276 37701 40044 48567 49914 50268 60066 64756 75402 97134 99828 120132 145701 150804 194268 196883 291402 393766 582804 590649 760883 787532 955151 1149419 1181298 1521766 1771947 1910302 2282649 2298838 2362596 2865453 3043532 3448257 3543894 3820604 4565298 4597676 5730906 6847947 6896514 7087788 8596359 9130596 10344771 11461812 13695894 13793028 17192718 20689542 27391788 34385436 41379084 44892097 54022693 67815721 89784194 108045386 134676291 135631442 162068079 179568388 203447163 216090772 269352582 271262884 324136158 404028873 406894326 486204237 538705164 610341489 648272316 808057746 813788652 972408474 1220682978 1616115492 1944816948 2441365956 3187338887 6374677774 9562016661 12749355548 19124033322 28686049983 38248066644 57372099966 114744199932