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114225213240 = 23325997318247
BaseRepresentation
bin110101001100001011…
…0100110111100111000
3101220211112220001022100
41222120112212330320
53332413123310430
6124250242423400
711152415202255
oct1523026467470
9356745801270
10114225213240
1144496178386
121a179961b60
13aa04992b98
14575840042c
152e88007960
hex1a985a6f38

114225213240 has 96 divisors (see below), whose sum is σ = 371605459680. Its totient is φ = 30429409536.

The previous prime is 114225213239. The next prime is 114225213337. The reversal of 114225213240 is 42312522411.

114225213240 is a `hidden beast` number, since 1 + 1 + 422 + 5 + 213 + 24 + 0 = 666.

114225213240 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199797 + ... + 518043.

It is an arithmetic number, because the mean of its divisors is an integer number (3870890205).

Almost surely, 2114225213240 is an apocalyptic number.

114225213240 is a gapful number since it is divisible by the number (10) 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 114225213240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185802729840).

114225213240 is an abundant number, since it is smaller than the sum of its proper divisors (257380246440).

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

114225213240 is a wasteful number, since it uses less digits than its factorization.

114225213240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319261 (or 319254 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 114225213240 its reverse (42312522411), we get a palindrome (156537735651).

The spelling of 114225213240 in words is "one hundred fourteen billion, two hundred twenty-five million, two hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 997 1994 2991 3988 4985 5982 7976 8973 9970 11964 14955 17946 19940 23928 29910 35892 39880 44865 59820 71784 89730 119640 179460 318247 358920 636494 954741 1272988 1591235 1909482 2545976 2864223 3182470 3818964 4773705 5728446 6364940 7637928 9547410 11456892 12729880 14321115 19094820 22913784 28642230 38189640 57284460 114568920 317292259 634584518 951876777 1269169036 1586461295 1903753554 2538338072 2855630331 3172922590 3807507108 4759383885 5711260662 6345845180 7615014216 9518767770 11422521324 12691690360 14278151655 19037535540 22845042648 28556303310 38075071080 57112606620 114225213240