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4234130010 = 234511243201
BaseRepresentation
bin1111110001011111…
…1011001001011010
3101221002021002110000
43330113323021122
532132414130020
61540052033430
7206632340235
oct37427731132
911832232400
104234130010
111883068600
129a2002876
13526298796
142c249c41c
1519bac2090
hexfc5fb25a

4234130010 has 120 divisors (see below), whose sum is σ = 12514496148. Its totient is φ = 1026432000.

The previous prime is 4234130003. The next prime is 4234130011. The reversal of 4234130010 is 100314324.

It can be written as a sum of positive squares in 2 ways, for example, as 4230591849 + 3538161 = 65043^2 + 1881^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4234130011) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 76410 + ... + 119610.

Almost surely, 24234130010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4234130010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6257248074).

4234130010 is an abundant number, since it is smaller than the sum of its proper divisors (8280366138).

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

4234130010 is a wasteful number, since it uses less digits than its factorization.

4234130010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43242 (or 43222 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4234130010 is about 65070.1929457720. The cubic root of 4234130010 is about 1617.7872052070.

Adding to 4234130010 its reverse (100314324), we get a palindrome (4334444334).

The spelling of 4234130010 in words is "four billion, two hundred thirty-four million, one hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 121 135 162 165 198 242 270 297 330 363 405 495 594 605 726 810 891 990 1089 1210 1485 1782 1815 2178 2970 3267 3630 4455 5445 6534 8910 9801 10890 16335 19602 32670 43201 49005 86402 98010 129603 216005 259206 388809 432010 475211 648015 777618 950422 1166427 1296030 1425633 1944045 2332854 2376055 2851266 3499281 3888090 4276899 4752110 5227321 5832135 6998562 7128165 8553798 10454642 11664270 12830697 14256330 15681963 17496405 21384495 25661394 26136605 31363926 34992810 38492091 42768990 47045889 52273210 64153485 76984182 78409815 94091778 128306970 141137667 156819630 192460455 235229445 282275334 384920910 423413001 470458890 705688335 846826002 1411376670 2117065005 4234130010