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4123142430 = 23511175912457
BaseRepresentation
bin1111010111000010…
…0010100100011110
3101122100102100002220
43311300202210132
531421011024210
61521045130210
7204114063261
oct36560424436
911570370086
104123142430
111826451a30
129709b9966
135092a8a64
142b184acd8
15191e9bc70
hexf5c2291e

4123142430 has 128 divisors (see below), whose sum is σ = 11624808960. Its totient is φ = 924733440.

The previous prime is 4123142417. The next prime is 4123142437. The reversal of 4123142430 is 342413214.

4123142430 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4123142430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4123142437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 324762 + ... + 337218.

It is an arithmetic number, because the mean of its divisors is an integer number (90818820).

Almost surely, 24123142430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4123142430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5812404480).

4123142430 is an abundant number, since it is smaller than the sum of its proper divisors (7501666530).

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

4123142430 is a wasteful number, since it uses less digits than its factorization.

4123142430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12554.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4123142430 is about 64211.7001020842. The cubic root of 4123142430 is about 1603.5263927095.

Adding to 4123142430 its reverse (342413214), we get a palindrome (4465555644).

The spelling of 4123142430 in words is "four billion, one hundred twenty-three million, one hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 59 66 85 102 110 118 165 170 177 187 255 295 330 354 374 510 561 590 649 885 935 1003 1122 1298 1770 1870 1947 2006 2805 3009 3245 3894 5015 5610 6018 6490 9735 10030 11033 12457 15045 19470 22066 24914 30090 33099 37371 55165 62285 66198 74742 110330 124570 137027 165495 186855 211769 274054 330990 373710 411081 423538 635307 685135 734963 822162 1058845 1270614 1370270 1469926 2055405 2117690 2204889 2329459 3176535 3674815 4110810 4409778 4658918 6353070 6988377 7349630 8084593 11024445 11647295 12494371 13976754 16169186 22048890 23294590 24253779 24988742 34941885 37483113 40422965 48507558 62471855 69883770 74966226 80845930 121268895 124943710 137438081 187415565 242537790 274876162 374831130 412314243 687190405 824628486 1374380810 2061571215 4123142430