Search a number
-
+
32204340040554 = 232111743222500933
BaseRepresentation
bin1110101001010001010000…
…01111111001001101101010
311020000201000211101012100100
413110220220033321031222
513210113442022244204
6152254245232250230
76532454365521603
oct724505017711552
9136021024335310
1032204340040554
11a296869429810
1237415003a0976
1314c7b191c1106
147d49ac4a8daa
153aca9726da39
hex1d4a283f936a

32204340040554 has 96 divisors (see below), whose sum is σ = 82471306192704. Its totient is φ = 8971237578240.

The previous prime is 32204340040541. The next prime is 32204340040573. The reversal of 32204340040554 is 45504004340223.

32204340040554 is a `hidden beast` number, since 3 + 2 + 20 + 4 + 3 + 40 + 0 + 40 + 554 = 666.

It is a super-2 number, since 2×322043400405542 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111105729 + ... + 111395204.

It is an arithmetic number, because the mean of its divisors is an integer number (859076106174).

Almost surely, 232204340040554 is an apocalyptic number.

32204340040554 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

32204340040554 is an abundant number, since it is smaller than the sum of its proper divisors (50266966152150).

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

32204340040554 is a wasteful number, since it uses less digits than its factorization.

32204340040554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222501012 (or 222501009 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 32204340040554 its reverse (45504004340223), we get a palindrome (77708344380777).

The spelling of 32204340040554 in words is "thirty-two trillion, two hundred four billion, three hundred forty million, forty thousand, five hundred fifty-four".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 43 51 66 86 99 102 129 153 187 198 258 306 374 387 473 561 731 774 946 1122 1419 1462 1683 2193 2838 3366 4257 4386 6579 8041 8514 13158 16082 24123 48246 72369 144738 222500933 445001866 667502799 1335005598 2002508397 2447510263 3782515861 4005016794 4895020526 7342530789 7565031722 9567540119 11347547583 14685061578 19135080238 22027592367 22695095166 28702620357 34042642749 41607674471 44055184734 57405240714 68085285498 83215348942 86107861071 105242941309 124823023413 162648182023 172215722142 210485882618 249646046826 315728823927 325296364046 374469070239 487944546069 631457647854 748938140478 947186471781 975889092138 1463833638207 1789130002253 1894372943562 2927667276414 3578260004506 5367390006759 10734780013518 16102170020277 32204340040554