Search a number
-
+
464452141446234 = 232157164939964813
BaseRepresentation
bin110100110011010101011000…
…0111001111111010001011010
32020220111012011022020121122100
41221212222300321333101122
5441334040441202234414
64323450211311504230
7166554363015645354
oct15146526071772132
92226435138217570
10464452141446234
11124a97057670a97
1244111b2a528076
1316c20858b42766
14829986436c0d4
1538a66ece2c609
hex1a66ab0e7f45a

464452141446234 has 48 divisors (see below), whose sum is σ = 1012784114718792. Its totient is φ = 153821940015744.

The previous prime is 464452141446211. The next prime is 464452141446263. The reversal of 464452141446234 is 432644141254464.

464452141446234 is a `hidden beast` number, since 4 + 6 + 4 + 4 + 5 + 2 + 1 + 4 + 1 + 4 + 4 + 623 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 318809845431009 + 145642296015225 = 17855247^2 + 12068235^2 .

It is a super-2 number, since 2×4644521414462342 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41626812 + ... + 51591624.

Almost surely, 2464452141446234 is an apocalyptic number.

464452141446234 is an abundant number, since it is smaller than the sum of its proper divisors (548331973272558).

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

464452141446234 is a wasteful number, since it uses less digits than its factorization.

464452141446234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9981471 (or 9981468 counting only the distinct ones).

The product of its digits is 35389440, while the sum is 54.

The spelling of 464452141446234 in words is "four hundred sixty-four trillion, four hundred fifty-two billion, one hundred forty-one million, four hundred forty-six thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 157 314 471 942 1413 2826 16493 32986 49479 98958 148437 296874 2589401 5178802 7768203 9964813 15536406 19929626 23304609 29894439 46609218 59788878 89683317 179366634 1564475641 3128951282 4693426923 9386853846 14080280769 28160561538 164349660809 328699321618 493048982427 986097964854 1479146947281 2958293894562 25802896747013 51605793494026 77408690241039 154817380482078 232226070723117 464452141446234