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114604144392 = 23329833116379
BaseRepresentation
bin110101010111011110…
…0000111011100001000
3101221210221220202010110
41222232330013130020
53334202130110032
6124352020314320
711164666103643
oct1525674073410
9357727822113
10114604144392
1144670062a21
121a2648429a0
13aa653386ba
14579287ca5a
152eab4087cc
hex1aaef07708

114604144392 has 128 divisors (see below), whose sum is σ = 300972672000. Its totient is φ = 36316842240.

The previous prime is 114604144367. The next prime is 114604144393. The reversal of 114604144392 is 293441406411.

It is a self number, because there is not a number n which added to its sum of digits gives 114604144392.

It is not an unprimeable number, because it can be changed into a prime (114604144393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17962659 + ... + 17969037.

It is an arithmetic number, because the mean of its divisors is an integer number (2351349000).

Almost surely, 2114604144392 is an apocalyptic number.

114604144392 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 114604144392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150486336000).

114604144392 is an abundant number, since it is smaller than the sum of its proper divisors (186368527608).

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

114604144392 is a wasteful number, since it uses less digits than its factorization.

114604144392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6811 (or 6807 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 114604144392 in words is "one hundred fourteen billion, six hundred four million, one hundred forty-four thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 83 87 116 166 174 232 249 311 332 348 498 622 664 696 933 996 1244 1866 1992 2407 2488 3732 4814 6379 7221 7464 9019 9628 12758 14442 18038 19137 19256 25516 25813 27057 28884 36076 38274 51032 51626 54114 57768 72152 76548 77439 103252 108228 153096 154878 184991 206504 216456 309756 369982 529457 554973 619512 739964 748577 1058914 1109946 1479928 1497154 1588371 1983869 2117828 2219892 2245731 2994308 3176742 3967738 4235656 4439784 4491462 5951607 5988616 6353484 7935476 8982924 11903214 12706968 15354253 15870952 17965848 23806428 30708506 46062759 47612856 57532201 61417012 92125518 115064402 122834024 164661127 172596603 184251036 230128804 329322254 345193206 368502072 460257608 493983381 658644508 690386412 987966762 1317289016 1380772824 1975933524 3951867048 4775172683 9550345366 14325518049 19100690732 28651036098 38201381464 57302072196 114604144392