Search a number
-
+
240533412252 = 2237212731110357
BaseRepresentation
bin1110000000000011101…
…0001001100110011100
3211222212012001101001020
43200000322021212130
512420103023143002
6302255521444140
723243433161400
oct3400072114634
9758765041036
10240533412252
1193011927811
123a74a1a0650
13198b3a54993
14b8db461100
1563cbbc42bc
hex3800e8999c

240533412252 has 144 divisors (see below), whose sum is σ = 660196712448. Its totient is φ = 67956900480.

The previous prime is 240533412239. The next prime is 240533412311. The reversal of 240533412252 is 252214335042.

240533412252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23219058 + ... + 23229414.

It is an arithmetic number, because the mean of its divisors is an integer number (4584699392).

Almost surely, 2240533412252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240533412252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330098356224).

240533412252 is an abundant number, since it is smaller than the sum of its proper divisors (419663300196).

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

240533412252 is a wasteful number, since it uses less digits than its factorization.

240533412252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10816 (or 10807 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 240533412252 its reverse (252214335042), we get a palindrome (492747747294).

The spelling of 240533412252 in words is "two hundred forty billion, five hundred thirty-three million, four hundred twelve thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 127 147 196 254 294 311 381 508 588 622 762 889 933 1244 1524 1778 1866 2177 2667 3556 3732 4354 5334 6223 6531 8708 10357 10668 12446 13062 15239 18669 20714 24892 26124 30478 31071 37338 39497 41428 45717 60956 62142 72499 74676 78994 91434 118491 124284 144998 157988 182868 217497 236982 276479 289996 434994 473964 507493 552958 829437 869988 1014986 1105916 1315339 1522479 1658874 1935353 2029972 2630678 3044958 3221027 3317748 3870706 3946017 5261356 5806059 6089916 6442054 7741412 7892034 9207373 9663081 11612118 12884108 15784068 18414746 19326162 22547189 23224236 27622119 36829492 38652324 45094378 55244238 64451611 67641567 90188756 110488476 128903222 135283134 157830323 193354833 257806444 270566268 315660646 386709666 409070429 473490969 631321292 773419332 818140858 946981938 1227211287 1636281716 1893963876 2454422574 2863493003 4908845148 5726986006 8590479009 11453972012 17180958018 20044451021 34361916036 40088902042 60133353063 80177804084 120266706126 240533412252