Search a number
-
+
10454214144232 = 2316743154733191
BaseRepresentation
bin1001100000100000111110…
…1110000111000011101000
31101000102011011021111120001
42120020033232013003220
52332240212310103412
634122333310312344
72126202113021665
oct230101756070350
941012134244501
1010454214144232
1133706753863a1
12120a11b1b86b4
135aaa9c625241
14281db559aa6c
15131e11156957
hex9820fb870e8

10454214144232 has 64 divisors (see below), whose sum is σ = 19801508106240. Its totient is φ = 5174119204800.

The previous prime is 10454214144223. The next prime is 10454214144259. The reversal of 10454214144232 is 23244141245401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10454214144191 and 10454214144200.

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 15 ways as a sum of consecutive naturals, for example, 314954757 + ... + 314987947.

It is an arithmetic number, because the mean of its divisors is an integer number (309398564160).

Almost surely, 210454214144232 is an apocalyptic number.

It is an amenable number.

10454214144232 is a deficient number, since it is larger than the sum of its proper divisors (9347293962008).

10454214144232 is a wasteful number, since it uses less digits than its factorization.

10454214144232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34342 (or 34338 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 37.

Adding to 10454214144232 its reverse (23244141245401), we get a palindrome (33698355389633).

The spelling of 10454214144232 in words is "ten trillion, four hundred fifty-four billion, two hundred fourteen million, one hundred forty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 8 167 334 431 547 668 862 1094 1336 1724 2188 3448 4376 33191 66382 71977 91349 132764 143954 182698 235757 265528 287908 365396 471514 575816 730792 943028 1886056 5542897 11085794 14305321 18155477 22171588 28610642 36310954 39371419 44343176 57221284 72621908 78742838 114442568 145243816 157485676 314971352 2388988607 3031964659 4777977214 6063929318 7825010587 9555954428 12127858636 15650021174 19111908856 24255717272 31300042348 62600084696 1306776768029 2613553536058 5227107072116 10454214144232