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144042497784 = 23324993400679
BaseRepresentation
bin1000011000100110011…
…0100001011011111000
3111202210120101001012100
42012021212201123320
54324444334412114
6150101110343400
713256336013063
oct2061146413370
9452716331170
10144042497784
11560a72645a9
1223abb65ab60
1310777243113
146d864858da
153b30a8d909
hex21899a16f8

144042497784 has 48 divisors (see below), whose sum is σ = 390194204400. Its totient is φ = 48004429824.

The previous prime is 144042497779. The next prime is 144042497821. The reversal of 144042497784 is 487794240441.

144042497784 is a `hidden beast` number, since 1 + 4 + 40 + 42 + 497 + 78 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 144042497784.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159157 + ... + 559835.

It is an arithmetic number, because the mean of its divisors is an integer number (8129045925).

Almost surely, 2144042497784 is an apocalyptic number.

It is an amenable number.

144042497784 is an abundant number, since it is smaller than the sum of its proper divisors (246151706616).

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

144042497784 is a wasteful number, since it uses less digits than its factorization.

144042497784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405684 (or 405677 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 144042497784 in words is "one hundred forty-four billion, forty-two million, four hundred ninety-seven thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4993 9986 14979 19972 29958 39944 44937 59916 89874 119832 179748 359496 400679 801358 1202037 1602716 2404074 3205432 3606111 4808148 7212222 9616296 14424444 28848888 2000590247 4001180494 6001770741 8002360988 12003541482 16004721976 18005312223 24007082964 36010624446 48014165928 72021248892 144042497784