Search a number
-
+
120606642440 = 2357947937963
BaseRepresentation
bin111000001010010110…
…1110101000100001000
3102112022021200020110222
41300110231311010020
53434000300024230
6131223402525212
711466513355154
oct1602455650410
9375267606428
10120606642440
114717033a609
121b45ab06808
13b4b0a9a4ab
145ba1b3c064
15320d3866e5
hex1c14b75108

120606642440 has 64 divisors (see below), whose sum is σ = 274891795200. Its totient is φ = 47616072192.

The previous prime is 120606642439. The next prime is 120606642461. The reversal of 120606642440 is 44246606021.

It is a self number, because there is not a number n which added to its sum of digits gives 120606642440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15141899 + ... + 15149861.

It is an arithmetic number, because the mean of its divisors is an integer number (4295184300).

Almost surely, 2120606642440 is an apocalyptic number.

120606642440 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 120606642440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137445897600).

120606642440 is an abundant number, since it is smaller than the sum of its proper divisors (154285152760).

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

120606642440 is a wasteful number, since it uses less digits than its factorization.

120606642440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12846 (or 12842 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 120606642440 in words is "one hundred twenty billion, six hundred six million, six hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 790 1580 3160 4793 7963 9586 15926 19172 23965 31852 38344 39815 47930 63704 79630 95860 159260 191720 318520 378647 629077 757294 1258154 1514588 1893235 2516308 3029176 3145385 3786470 5032616 6290770 7572940 12581540 15145880 25163080 38166659 76333318 152666636 190833295 305333272 381666590 763333180 1526666360 3015166061 6030332122 12060664244 15075830305 24121328488 30151660610 60303321220 120606642440