Search a number
-
+
144754053007627 = 7592221511577729
BaseRepresentation
bin100000111010011100101101…
…111010001100100100001011
3200222112100111211200221010201
4200322130231322030210023
5122433122300032221002
61231511032141553031
742330064243100230
oct4072345572144413
9628470454627121
10144754053007627
1142139938213138
121429a37b575777
1362a033030683b
1427a61c2653787
1511b05b9b3a087
hex83a72de8c90b

144754053007627 has 16 divisors (see below), whose sum is σ = 168238019980800. Its totient is φ = 121971311769600.

The previous prime is 144754053007601. The next prime is 144754053007687. The reversal of 144754053007627 is 726700350457441.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144754053007627 is a prime.

It is a super-2 number, since 2×1447540530076272 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144754053007687) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 90959499 + ... + 92537227.

It is an arithmetic number, because the mean of its divisors is an integer number (10514876248800).

Almost surely, 2144754053007627 is an apocalyptic number.

144754053007627 is a deficient number, since it is larger than the sum of its proper divisors (23483966973173).

144754053007627 is a wasteful number, since it uses less digits than its factorization.

144754053007627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799946.

The product of its (nonzero) digits is 19756800, while the sum is 55.

The spelling of 144754053007627 in words is "one hundred forty-four trillion, seven hundred fifty-four billion, fifty-three million, seven thousand, six hundred twenty-seven".

Divisors: 1 7 59 413 222151 1555057 1577729 11044103 13106909 91748363 93086011 651602077 350494075079 2453458525553 20679150429661 144754053007627