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4042120230 = 2325197332381
BaseRepresentation
bin1111000011101101…
…1101110000100110
3101102200221222112200
43300323131300212
531234240321410
61505032355330
7202111312041
oct36073356046
911380858480
104042120230
111794742835
12949845b46
134c557b325
142a4b99c58
15189ce53c0
hexf0eddc26

4042120230 has 96 divisors (see below), whose sum is σ = 11214534240. Its totient is φ = 1007147520.

The previous prime is 4042120223. The next prime is 4042120231. The reversal of 4042120230 is 320212404.

4042120230 is a `hidden beast` number, since 40 + 421 + 202 + 3 + 0 = 666.

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 (4042120231) 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, 108640 + ... + 141020.

It is an arithmetic number, because the mean of its divisors is an integer number (116818065).

Almost surely, 24042120230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042120230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5607267120).

4042120230 is an abundant number, since it is smaller than the sum of its proper divisors (7172414010).

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

4042120230 is a wasteful number, since it uses less digits than its factorization.

4042120230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32486 (or 32483 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4042120230 is about 63577.6708444089. The cubic root of 4042120230 is about 1592.9534165455.

Adding to 4042120230 its reverse (320212404), we get a palindrome (4362332634).

The spelling of 4042120230 in words is "four billion, forty-two million, one hundred twenty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 73 90 95 114 146 171 190 219 285 342 365 438 570 657 730 855 1095 1314 1387 1710 2190 2774 3285 4161 6570 6935 8322 12483 13870 20805 24966 32381 41610 62415 64762 97143 124830 161905 194286 291429 323810 485715 582858 615239 971430 1230478 1457145 1845717 2363813 2914290 3076195 3691434 4727626 5537151 6152390 7091439 9228585 11074302 11819065 14182878 18457170 21274317 23638130 27685755 35457195 42548634 44912447 55371510 70914390 89824894 106371585 134737341 212743170 224562235 269474682 404212023 449124470 673686705 808424046 1347373410 2021060115 4042120230