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4100231430 = 232531247407
BaseRepresentation
bin1111010001100100…
…1001000100000110
3101120202022100010100
43310121021010012
531344124401210
61514510104530
7203415251331
oct36431110406
911522270110
104100231430
111814523619
129651ab146
13504616659
142ac7a5618
1518ee735c0
hexf4649106

4100231430 has 72 divisors (see below), whose sum is σ = 11015817696. Its totient is φ = 1058101920.

The previous prime is 4100231357. The next prime is 4100231431. The reversal of 4100231430 is 341320014.

4100231430 is a `hidden beast` number, since 4 + 1 + 0 + 0 + 231 + 430 = 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 (4100231431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62787 + ... + 110193.

It is an arithmetic number, because the mean of its divisors is an integer number (152997468).

Almost surely, 24100231430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4100231430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5507908848).

4100231430 is an abundant number, since it is smaller than the sum of its proper divisors (6915586266).

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

4100231430 is a wasteful number, since it uses less digits than its factorization.

4100231430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47482 (or 47448 counting only the distinct ones).

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

The square root of 4100231430 is about 64033.0495135129. The cubic root of 4100231430 is about 1600.5507778285.

Adding to 4100231430 its reverse (341320014), we get a palindrome (4441551444).

The spelling of 4100231430 in words is "four billion, one hundred million, two hundred thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 961 1395 1922 2790 2883 4805 5766 8649 9610 14415 17298 28830 43245 47407 86490 94814 142221 237035 284442 426663 474070 711105 853326 1422210 1469617 2133315 2939234 4266630 4408851 7348085 8817702 13226553 14696170 22044255 26453106 44088510 45558127 66132765 91116254 132265530 136674381 227790635 273348762 410023143 455581270 683371905 820046286 1366743810 2050115715 4100231430