Search a number
-
+
30142565442 = 232114310135053
BaseRepresentation
bin11100000100101000…
…110000110001000010
32212210200112222101200
4130010220300301002
5443212444043232
621503003442030
72114650402353
oct340450606102
985720488350
1030142565442
1111868768610
125a12826316
132ac4a90052
14165d359d2a
15bb63da77c
hex704a30c42

30142565442 has 96 divisors (see below), whose sum is σ = 73626860736. Its totient is φ = 8833104000.

The previous prime is 30142565417. The next prime is 30142565449. The reversal of 30142565442 is 24456524103.

It is a junction number, because it is equal to n+sod(n) for n = 30142565397 and 30142565406.

It is not an unprimeable number, because it can be changed into a prime (30142565449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 842388 + ... + 877440.

It is an arithmetic number, because the mean of its divisors is an integer number (766946466).

Almost surely, 230142565442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30142565442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36813430368).

30142565442 is an abundant number, since it is smaller than the sum of its proper divisors (43484295294).

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

30142565442 is a wasteful number, since it uses less digits than its factorization.

30142565442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35216 (or 35213 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 30142565442 in words is "thirty billion, one hundred forty-two million, five hundred sixty-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 101 129 198 202 258 303 387 473 606 774 909 946 1111 1419 1818 2222 2838 3333 4257 4343 6666 8514 8686 9999 13029 19998 26058 35053 39087 47773 70106 78174 95546 105159 143319 210318 286638 315477 385583 429957 630954 771166 859914 1156749 1507279 2313498 3014558 3470247 3540353 4521837 6940494 7080706 9043674 10621059 13565511 16580069 21242118 27131022 31863177 33160138 38943883 49740207 63726354 77887766 99480414 116831649 149220621 152235179 233663298 298441242 304470358 350494947 456705537 700989894 913411074 1370116611 1674586969 2740233222 3349173938 5023760907 10047521814 15071282721 30142565442