Search a number
-
+
420142252052115 = 325157383155269237
BaseRepresentation
bin101111110000111011111110…
…1101100000100111010010011
32001002121012120221001121021100
41133201313331230010322103
5420032102313011131430
64045322404104155443
7154332163446315165
oct13741677554047223
92032535527047240
10420142252052115
1111196336821996a
123b156472168b83
1315058323b4b598
1475a6dca240935
153388ce6785960
hex17e1dfdb04e93

420142252052115 has 48 divisors (see below), whose sum is σ = 734798626219008. Its totient is φ = 222067303481088.

The previous prime is 420142252052099. The next prime is 420142252052129. The reversal of 420142252052115 is 511250252241024.

It is a happy number.

420142252052115 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 422 + 5 + 205 + 21 + 1 + 5 = 666.

It is not a de Polignac number, because 420142252052115 - 24 = 420142252052099 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 420142252052115.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74928724 + ... + 80340513.

It is an arithmetic number, because the mean of its divisors is an integer number (15308304712896).

Almost surely, 2420142252052115 is an apocalyptic number.

420142252052115 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

420142252052115 is a deficient number, since it is larger than the sum of its proper divisors (314656374166893).

420142252052115 is a wasteful number, since it uses less digits than its factorization.

420142252052115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155269788 (or 155269785 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 420142252052115 in words is "four hundred twenty trillion, one hundred forty-two billion, two hundred fifty-two million, fifty-two thousand, one hundred fifteen".

Divisors: 1 3 5 9 15 45 157 383 471 785 1149 1413 1915 2355 3447 5745 7065 17235 60131 180393 300655 541179 901965 2705895 155269237 465807711 776346185 1397423133 2329038555 6987115665 24377270209 59468117771 73131810627 121886351045 178404353313 219395431881 297340588855 365659053135 535213059939 892021766565 1096977159405 2676065299695 9336494490047 28009483470141 46682472450235 84028450410423 140047417350705 420142252052115