Search a number
-
+
43542201125440 = 265233583988749
BaseRepresentation
bin10011110011001111101010…
…11011100100101001000000
312201011121000212021021222001
421321213311123210221000
521201343411442003230
6232335002215353344
712112551222605353
oct1171476533445100
9181147025237861
1043542201125440
1112968164435416
124a7292b082854
131b3b020331674
14aa764d25429a
15507974e1b0ca
hex2799f56e4a40

43542201125440 has 56 divisors (see below), whose sum is σ = 104129866035000. Its totient is φ = 17342129860608.

The previous prime is 43542201125389. The next prime is 43542201125497. The reversal of 43542201125440 is 4452110224534.

43542201125440 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 955404592704 + 42586796532736 = 977448^2 + 6525856^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 43542201125440.

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 7 ways as a sum of consecutive naturals, for example, 291919815 + ... + 292068934.

Almost surely, 243542201125440 is an apocalyptic number.

43542201125440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

43542201125440 is an abundant number, since it is smaller than the sum of its proper divisors (60587664909560).

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

43542201125440 is a wasteful number, since it uses less digits than its factorization.

43542201125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583988999 (or 583988989 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 37.

Adding to 43542201125440 its reverse (4452110224534), we get a palindrome (47994311349974).

The spelling of 43542201125440 in words is "forty-three trillion, five hundred forty-two billion, two hundred one million, one hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 233 320 466 932 1165 1864 2330 3728 4660 7456 9320 14912 18640 37280 74560 583988749 1167977498 2335954996 2919943745 4671909992 5839887490 9343819984 11679774980 18687639968 23359549960 37375279936 46719099920 93438199840 136069378517 186876399680 272138757034 544277514068 680346892585 1088555028136 1360693785170 2177110056272 2721387570340 4354220112544 5442775140680 8708440225088 10885550281360 21771100562720 43542201125440