Search a number
-
+
144521553024 = 273413939193
BaseRepresentation
bin1000011010011000100…
…1111110010010000000
3111211000221210120110000
42012212021332102000
54331440004144044
6150220422240000
713304243634432
oct2064611762200
9454027716400
10144521553024
1156322715922
1224013b86000
1310822573a64
146dcdd48652
153b5cb6ad69
hex21a627e480

144521553024 has 80 divisors (see below), whose sum is σ = 430093830870. Its totient is φ = 48173847552.

The previous prime is 144521552993. The next prime is 144521553037. The reversal of 144521553024 is 420355125441.

144521553024 is a `hidden beast` number, since 1 + 4 + 452 + 155 + 30 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80107113024 + 64414440000 = 283032^2 + 253800^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 144521553024.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6959229 + ... + 6979964.

Almost surely, 2144521553024 is an apocalyptic number.

It is an amenable number.

144521553024 is an abundant number, since it is smaller than the sum of its proper divisors (285572277846).

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

144521553024 is an equidigital number, since it uses as much as digits as its factorization.

144521553024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13939219 (or 13939198 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 144521553024 its reverse (420355125441), we get a palindrome (564876678465).

The spelling of 144521553024 in words is "one hundred forty-four billion, five hundred twenty-one million, five hundred fifty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 13939193 27878386 41817579 55756772 83635158 111513544 125452737 167270316 223027088 250905474 334540632 376358211 446054176 501810948 669081264 752716422 892108352 1003621896 1129074633 1338162528 1505432844 1784216704 2007243792 2258149266 2676325056 3010865688 4014487584 4516298532 5352650112 6021731376 8028975168 9032597064 12043462752 16057950336 18065194128 24086925504 36130388256 48173851008 72260776512 144521553024