Search a number
-
+
133205152444 = 227131453251857
BaseRepresentation
bin111110000001110100…
…1010101001010111100
3110201211021222212012121
41330003221111022330
54140301004334234
6141105452412324
712423643054060
oct1740351251274
9421737885177
10133205152444
1151545921651
12219961770a4
13c73ac28640
146639035aa0
1536e942d4b4
hex1f03a552bc

133205152444 has 48 divisors (see below), whose sum is σ = 287102001088. Its totient is φ = 52660067328.

The previous prime is 133205152387. The next prime is 133205152447. The reversal of 133205152444 is 444251502331.

It is a super-2 number, since 2×1332051524442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133205152447) by changing a digit.

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, 402964 + ... + 654820.

Almost surely, 2133205152444 is an apocalyptic number.

133205152444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

133205152444 is an abundant number, since it is smaller than the sum of its proper divisors (153896848644).

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

133205152444 is a wasteful number, since it uses less digits than its factorization.

133205152444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253334 (or 253332 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 133205152444 its reverse (444251502331), we get a palindrome (577456654775).

The spelling of 133205152444 in words is "one hundred thirty-three billion, two hundred five million, one hundred fifty-two thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 1453 2906 5812 10171 18889 20342 37778 40684 75556 132223 251857 264446 503714 528892 1007428 1762999 3274141 3525998 6548282 7051996 13096564 22918987 45837974 91675948 365948221 731896442 1463792884 2561637547 4757326873 5123275094 9514653746 10246550188 19029307492 33301288111 66602576222 133205152444