Search a number
-
+
10234414242 = 23213413910567
BaseRepresentation
bin10011000100000010…
…01100010010100010
3222102020212010000100
421202001030102202
5131430002223432
64411315003230
7511422041253
oct114201142242
928366763010
1010234414242
114382072998
121b97599516
13c71433a20
146d1342b2a
153ed76407c
hex26204c4a2

10234414242 has 48 divisors (see below), whose sum is σ = 23888329920. Its totient is φ = 3147991776.

The previous prime is 10234414241. The next prime is 10234414247. The reversal of 10234414242 is 24241443201.

10234414242 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 4 + 414 + 242 = 666.

It is not an unprimeable number, because it can be changed into a prime (10234414241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 963243 + ... + 973809.

It is an arithmetic number, because the mean of its divisors is an integer number (497673540).

Almost surely, 210234414242 is an apocalyptic number.

10234414242 is an abundant number, since it is smaller than the sum of its proper divisors (13653915678).

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

10234414242 is a wasteful number, since it uses less digits than its factorization.

10234414242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14727 (or 14724 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10234414242 its reverse (24241443201), we get a palindrome (34475857443).

The spelling of 10234414242 in words is "ten billion, two hundred thirty-four million, four hundred fourteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 4139 8278 10567 12417 21134 24834 31701 37251 53807 63402 74502 95103 107614 137371 161421 190206 274742 322842 412113 484263 824226 968526 1236339 2472678 43736813 87473626 131210439 262420878 393631317 568578569 787262634 1137157138 1705735707 3411471414 5117207121 10234414242