Search a number
-
+
402305242434051 = 3113977127980629
BaseRepresentation
bin101101101111001001111110…
…1000100010000101000000011
31221202110000011001121020102010
41123132103331010100220003
5410212332114030342201
63543344251004424003
7150511410642211245
oct13336237504205003
91852400131536363
10402305242434051
11107206771307000
123915554b848003
13143632b5a632b8
14714b96b5a8095
153179d38b5dbd6
hex16de4fd110a03

402305242434051 has 64 divisors (see below), whose sum is σ = 591080391475200. Its totient is φ = 243378340001280.

The previous prime is 402305242433999. The next prime is 402305242434107. The reversal of 402305242434051 is 150434242503204.

It is not a de Polignac number, because 402305242434051 - 233 = 402296652499459 is a prime.

It is not an unprimeable number, because it can be changed into a prime (402305242434551) 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 63 ways as a sum of consecutive naturals, for example, 4989544605 + ... + 4989625233.

It is an arithmetic number, because the mean of its divisors is an integer number (9235631116800).

Almost surely, 2402305242434051 is an apocalyptic number.

402305242434051 is a deficient number, since it is larger than the sum of its proper divisors (188775149041149).

402305242434051 is a wasteful number, since it uses less digits than its factorization.

402305242434051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82921 (or 82899 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

Adding to 402305242434051 its reverse (150434242503204), we get a palindrome (552739484937255).

The spelling of 402305242434051 in words is "four hundred two trillion, three hundred five billion, two hundred forty-two million, four hundred thirty-four thousand, fifty-one".

Divisors: 1 3 11 33 121 363 977 1279 1331 2931 3837 3993 10747 14069 32241 42207 80629 118217 154759 241887 354651 464277 886919 1249583 1300387 1702349 2660757 3748749 3901161 5107047 9756109 13745413 29268327 41236239 78774533 103124491 107317199 151199543 236323599 309373473 321951597 453598629 866519863 1134369401 1663194973 2599559589 3403108203 4989584919 9531718493 12478063411 28595155479 37434190233 100752627707 104848903423 137258697521 302257883121 314546710269 411776092563 1108278904777 3324836714331 12191067952547 36573203857641 134101747478017 402305242434051