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120144441204 = 22328340208983
BaseRepresentation
bin110111111100100101…
…0101010111101110100
3102111010001221222120200
41233321022222331310
53432023434104304
6131105452200500
711452201620534
oct1577112527564
9374101858520
10120144441204
1146a5344aa17
121b350169130
13b4390bb038
145b5a5c54c4
1531d29d7e39
hex1bf92aaf74

120144441204 has 36 divisors (see below), whose sum is σ = 307357473696. Its totient is φ = 39565638288.

The previous prime is 120144441187. The next prime is 120144441227. The reversal of 120144441204 is 402144441021.

It is a happy number.

120144441204 is a `hidden beast` number, since 1 + 2 + 0 + 14 + 4 + 441 + 204 = 666.

120144441204 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 20101504 + ... + 20107479.

Almost surely, 2120144441204 is an apocalyptic number.

It is an amenable number.

120144441204 is an abundant number, since it is smaller than the sum of its proper divisors (187213032492).

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

120144441204 is a wasteful number, since it uses less digits than its factorization.

120144441204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40209076 (or 40209071 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 120144441204 its reverse (402144441021), we get a palindrome (522288882225).

The spelling of 120144441204 in words is "one hundred twenty billion, one hundred forty-four million, four hundred forty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1494 2988 40208983 80417966 120626949 160835932 241253898 361880847 482507796 723761694 1447523388 3337345589 6674691178 10012036767 13349382356 20024073534 30036110301 40048147068 60072220602 120144441204