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144155215116 = 223211364028321
BaseRepresentation
bin1000011001000001010…
…0100000010100001100
3111210002102110200022100
42012100110200110030
54330212213340431
6150120214315100
713262205053043
oct2062024402414
9453072420270
10144155215116
1156154951820
1223b31358a90
13107946ba273
146d9742755a
153b3a9064e6
hex219052050c

144155215116 has 36 divisors (see below), whose sum is σ = 397518927624. Its totient is φ = 43683398400.

The previous prime is 144155215111. The next prime is 144155215159. The reversal of 144155215116 is 611512551441.

144155215116 is a `hidden beast` number, since 1 + 4 + 4 + 15 + 521 + 5 + 116 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (144155215111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182013765 + ... + 182014556.

It is an arithmetic number, because the mean of its divisors is an integer number (11042192434).

Almost surely, 2144155215116 is an apocalyptic number.

It is an amenable number.

144155215116 is an abundant number, since it is smaller than the sum of its proper divisors (253363712508).

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

144155215116 is a wasteful number, since it uses less digits than its factorization.

144155215116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364028342 (or 364028337 counting only the distinct ones).

The product of its digits is 24000, while the sum is 36.

Adding to 144155215116 its reverse (611512551441), we get a palindrome (755667766557).

The spelling of 144155215116 in words is "one hundred forty-four billion, one hundred fifty-five million, two hundred fifteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 364028321 728056642 1092084963 1456113284 2184169926 3276254889 4004311531 4368339852 6552509778 8008623062 12012934593 13105019556 16017246124 24025869186 36038803779 48051738372 72077607558 144155215116