Search a number
-
+
144424525052224 = 2637265922937227
BaseRepresentation
bin100000110101101001110100…
…100000110011100101000000
3200221100211221110201100110201
4200311221310200303211000
5122412222411403132344
61231055413314134544
742264220236511204
oct4065516440634500
9627324843640421
10144424525052224
1142022108285a0a
1214246535281454
136278235b5a791
142794281a62b04
1511a6c2eee74d4
hex835a74833940

144424525052224 has 56 divisors (see below), whose sum is σ = 294448865792480. Its totient is φ = 70234153007616.

The previous prime is 144424525052173. The next prime is 144424525052287. The reversal of 144424525052224 is 422250525424441.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5172102 + ... + 17765125.

It is an arithmetic number, because the mean of its divisors is an integer number (5258015460580).

Almost surely, 2144424525052224 is an apocalyptic number.

It is an amenable number.

144424525052224 is an abundant number, since it is smaller than the sum of its proper divisors (150024340740256).

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

144424525052224 is a wasteful number, since it uses less digits than its factorization.

144424525052224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22939935 (or 22939925 counting only the distinct ones).

The product of its (nonzero) digits is 4096000, while the sum is 46.

The spelling of 144424525052224 in words is "one hundred forty-four trillion, four hundred twenty-four billion, five hundred twenty-five million, fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 2368 2659 5318 10636 21272 42544 85088 98383 170176 196766 393532 787064 1574128 3148256 6296512 22937227 45874454 91748908 183497816 366995632 733991264 848677399 1467982528 1697354798 3394709596 6789419192 13578838384 27157676768 54315353536 60990086593 121980173186 243960346372 487920692744 975841385488 1951682770976 2256633203941 3903365541952 4513266407882 9026532815764 18053065631528 36106131263056 72212262526112 144424525052224