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120442131024345 = 32513226360217603
BaseRepresentation
bin11011011000101010011110…
…011011111000100111011001
3120210110011012012022012021100
4123120222132123320213121
5111241310441020234340
61104054203503102013
734240441166656014
oct3330523633704731
9523404165265240
10120442131024345
1135416248052799
12116125a9ba1909
13522884b47b700
1421a560484437b
15ddce99b7a830
hex6d8a9e6f89d9

120442131024345 has 72 divisors (see below), whose sum is σ = 226920164986944. Its totient is φ = 59069131894656.

The previous prime is 120442131024311. The next prime is 120442131024401. The reversal of 120442131024345 is 543420131244021.

120442131024345 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 4 + 213 + 1 + 0 + 2 + 434 + 5 = 666.

It is not a de Polignac number, because 120442131024345 - 27 = 120442131024217 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28108687 + ... + 32108916.

It is an arithmetic number, because the mean of its divisors is an integer number (3151668958152).

Almost surely, 2120442131024345 is an apocalyptic number.

120442131024345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120442131024345 is a deficient number, since it is larger than the sum of its proper divisors (106478033962599).

120442131024345 is a wasteful number, since it uses less digits than its factorization.

120442131024345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60217903 (or 60217887 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 120442131024345 its reverse (543420131244021), we get a palindrome (663862262268366).

The spelling of 120442131024345 in words is "one hundred twenty trillion, four hundred forty-two billion, one hundred thirty-one million, twenty-four thousand, three hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 169 195 263 507 585 789 845 1315 1521 2367 2535 3419 3945 7605 10257 11835 17095 30771 44447 51285 133341 153855 222235 400023 666705 2000115 60217603 180652809 301088015 541958427 782828839 903264045 2348486517 2709792135 3914144195 7045459551 10176774907 11742432585 15837229589 30530324721 35227297755 47511688767 50883874535 79186147945 91590974163 142535066301 152651623605 205883984657 237558443835 457954870815 617651953971 712675331505 1029419923285 1852955861913 2676491800541 3088259769855 8029475401623 9264779309565 13382459002705 24088426204869 40147377008115 120442131024345