Search a number
-
+
120424110978180 = 223516345673269597
BaseRepresentation
bin11011011000011001101100…
…010110110111010010000100
3120210101102200100102000002010
4123120121230112313102010
5111241012034402300210
61104042023423014220
734236232506053202
oct3330315426672204
9523342610360063
10120424110978180
1135409640219359
121160abbb13a370
135226c3904c9b9
1421a47b54ba072
15ddc792b62920
hex6d866c5b7484

120424110978180 has 96 divisors (see below), whose sum is σ = 339264832120704. Its totient is φ = 31915266223104.

The previous prime is 120424110978179. The next prime is 120424110978257. The reversal of 120424110978180 is 81879011424021.

It is a happy number.

It is a super-2 number, since 2×1204241109781802 (a number of 29 digits) contains 22 as substring.

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, 446547142 + ... + 446816738.

It is an arithmetic number, because the mean of its divisors is an integer number (3534008667924).

Almost surely, 2120424110978180 is an apocalyptic number.

120424110978180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120424110978180 is an abundant number, since it is smaller than the sum of its proper divisors (218840721142524).

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

120424110978180 is a wasteful number, since it uses less digits than its factorization.

120424110978180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315445 (or 315443 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 48.

The spelling of 120424110978180 in words is "one hundred twenty trillion, four hundred twenty-four billion, one hundred ten million, nine hundred seventy-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 163 326 489 652 815 978 1630 1956 2445 3260 4890 9780 45673 91346 137019 182692 228365 269597 274038 456730 539194 548076 685095 808791 913460 1078388 1347985 1370190 1617582 2695970 2740380 3235164 4043955 5391940 7444699 8087910 14889398 16175820 22334097 29778796 37223495 43944311 44668194 74446990 87888622 89336388 111670485 131832933 148893980 175777244 219721555 223340970 263665866 439443110 446681940 527331732 659164665 878886220 1318329330 2636658660 12313303781 24626607562 36939911343 49253215124 61566518905 73879822686 123133037810 147759645372 184699556715 246266075620 369399113430 738798226860 2007068516303 4014137032606 6021205548909 8028274065212 10035342581515 12042411097818 20070685163030 24084822195636 30106027744545 40141370326060 60212055489090 120424110978180