Search a number
-
+
144962047764 = 22334399073371
BaseRepresentation
bin1000011100000001101…
…0010100111100010100
3111212011122200000122000
42013000122110330110
54333340241012024
6150332235435300
713321203034602
oct2070032247424
9455148600560
10144962047764
115652932a066
12241175b5b30
13108928c3131
147032650872
153b8667ccc9
hex21c0694f14

144962047764 has 96 divisors (see below), whose sum is σ = 377210803200. Its totient is φ = 48143172960.

The previous prime is 144962047757. The next prime is 144962047817. The reversal of 144962047764 is 467740269441.

It is a happy number.

144962047764 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 620 + 4 + 7 + 7 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 144962047764.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43000999 + ... + 43004369.

It is an arithmetic number, because the mean of its divisors is an integer number (3929279200).

Almost surely, 2144962047764 is an apocalyptic number.

It is an amenable number.

144962047764 is an abundant number, since it is smaller than the sum of its proper divisors (232248755436).

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

144962047764 is a wasteful number, since it uses less digits than its factorization.

144962047764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4730 (or 4722 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 144962047764 in words is "one hundred forty-four billion, nine hundred sixty-two million, forty-seven thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 439 878 907 1317 1756 1814 2634 2721 3371 3628 3951 5268 5442 6742 7902 8163 10113 10884 11853 13484 15804 16326 20226 23706 24489 30339 32652 40452 47412 48978 60678 91017 97956 121356 182034 364068 398173 796346 1194519 1479869 1592692 2389038 2959738 3057497 3583557 4439607 4778076 5919476 6114994 7167114 8879214 9172491 10750671 12229988 13318821 14334228 17758428 18344982 21501342 26637642 27517473 36689964 39956463 43002684 53275284 55034946 79912926 82552419 110069892 159825852 165104838 330209676 1342241183 2684482366 4026723549 5368964732 8053447098 12080170647 16106894196 24160341294 36240511941 48320682588 72481023882 144962047764