Search a number
-
+
40754503760733 = 32713134714230963
BaseRepresentation
bin10010100010000111001011…
…01110000011101101011101
312100022002111102212022221100
421101003211232003231131
520320210210430320413
6222402205514223313
711404262411145540
oct1121034556035535
9170262442768840
1040754503760733
1111a929849a5924
1246a25b4a24b39
1319981968968a9
14a0c758318857
154aa1b8c4ba73
hex2510e5b83b5d

40754503760733 has 48 divisors (see below), whose sum is σ = 67986210479616. Its totient is φ = 23043912147360.

The previous prime is 40754503760689. The next prime is 40754503760801. The reversal of 40754503760733 is 33706730545704.

40754503760733 is a `hidden beast` number, since 4 + 0 + 7 + 5 + 4 + 503 + 7 + 60 + 73 + 3 = 666.

40754503760733 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40754503760733 - 26 = 40754503760669 is a prime.

It is a super-2 number, since 2×407545037607332 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40754503760733.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40754503760233) by changing a digit.

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, 4251691 + ... + 9979272.

It is an arithmetic number, because the mean of its divisors is an integer number (1416379384992).

Almost surely, 240754503760733 is an apocalyptic number.

It is an amenable number.

40754503760733 is a deficient number, since it is larger than the sum of its proper divisors (27231706718883).

40754503760733 is a wasteful number, since it uses less digits than its factorization.

40754503760733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14231454 (or 14231451 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 54.

The spelling of 40754503760733 in words is "forty trillion, seven hundred fifty-four billion, five hundred three million, seven hundred sixty thousand, seven hundred thirty-three".

Divisors: 1 3 7 9 21 63 131 347 393 917 1041 1179 2429 2751 3123 7287 8253 21861 45457 136371 318199 409113 954597 2863791 14230963 42692889 99616741 128078667 298850223 896550669 1864256153 4938144161 5592768459 13049793071 14814432483 16778305377 34567009127 39149379213 44443297449 103701027381 117448137639 311103082143 646896885091 1940690655273 4528278195637 5822071965819 13584834586911 40754503760733