Search a number
-
+
4120132445541 = 34768531106033
BaseRepresentation
bin111011111101001011000…
…001111110010101100101
3112120212210010002020120000
4323331023001332111211
51020001012401224131
612432432425131513
7603445502643120
oct73751301762545
915525703066500
104120132445541
11134937a399012
12566614029b99
1323b6b0576738
141035b60c13b7
15722928c3ce6
hex3bf4b07e565

4120132445541 has 40 divisors (see below), whose sum is σ = 7034186981184. Its totient is φ = 2354304839040.

The previous prime is 4120132445521. The next prime is 4120132445599. The reversal of 4120132445541 is 1455442310214.

4120132445541 is a `hidden beast` number, since 4 + 1 + 201 + 3 + 2 + 445 + 5 + 4 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-4120132445541 is a prime.

It is a super-2 number, since 2×41201324455412 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4120132445496 and 4120132445505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4120132445521) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38804061 + ... + 38910093.

Almost surely, 24120132445541 is an apocalyptic number.

It is an amenable number.

4120132445541 is a deficient number, since it is larger than the sum of its proper divisors (2914054535643).

4120132445541 is a wasteful number, since it uses less digits than its factorization.

4120132445541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174583 (or 174574 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 4120132445541 its reverse (1455442310214), we get a palindrome (5575574755755).

The spelling of 4120132445541 in words is "four trillion, one hundred twenty billion, one hundred thirty-two million, four hundred forty-five thousand, five hundred forty-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 68531 106033 205593 318099 479717 616779 742231 954297 1439151 1850337 2226693 2862891 4317453 5551011 6680079 8588673 12952359 20040237 38857077 60120711 7266547523 21799642569 50865832661 65398927707 152597497983 196196783121 457792493949 588590349363 1373377481847 4120132445541