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120114242340 = 22356173449563
BaseRepresentation
bin110111111011101011…
…1011110001100100100
3102111000222010201112020
41233313113132030210
53431443221223330
6131102453023140
711451354133311
oct1576727361444
9374028121466
10120114242340
1146a383a4084
121b342024ab0
13b432a766a1
145b565a3d08
1531d0020210
hex1bf75de324

120114242340 has 96 divisors (see below), whose sum is σ = 346516738176. Its totient is φ = 31073725440.

The previous prime is 120114242333. The next prime is 120114242357. The reversal of 120114242340 is 43242411021.

It is a self number, because there is not a number n which added to its sum of digits gives 120114242340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42399 + ... + 491961.

It is an arithmetic number, because the mean of its divisors is an integer number (3609549356).

Almost surely, 2120114242340 is an apocalyptic number.

120114242340 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 120114242340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173258369088).

120114242340 is an abundant number, since it is smaller than the sum of its proper divisors (226402495836).

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

120114242340 is a wasteful number, since it uses less digits than its factorization.

120114242340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449709 (or 449707 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 120114242340 its reverse (43242411021), we get a palindrome (163356653361).

The spelling of 120114242340 in words is "one hundred twenty billion, one hundred fourteen million, two hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 73 122 146 183 219 244 292 305 365 366 438 610 730 732 876 915 1095 1220 1460 1830 2190 3660 4380 4453 8906 13359 17812 22265 26718 44530 53436 66795 89060 133590 267180 449563 899126 1348689 1798252 2247815 2697378 4495630 5394756 6743445 8991260 13486890 26973780 27423343 32818099 54846686 65636198 82270029 98454297 109693372 131272396 137116715 164090495 164540058 196908594 274233430 328180990 329080116 393817188 411350145 492271485 548466860 656361980 822700290 984542970 1645400580 1969085940 2001904039 4003808078 6005712117 8007616156 10009520195 12011424234 20019040390 24022848468 30028560585 40038080780 60057121170 120114242340