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4201434402 = 2311319832089
BaseRepresentation
bin1111101001101100…
…1100110100100010
3101211210201222111120
43322123030310202
532101031400102
61532523153110
7206054413614
oct37233146442
911753658446
104201434402
111866666940
12993075796
1351c58b879
142bbdcadb4
15198cb46bc
hexfa6ccd22

4201434402 has 64 divisors (see below), whose sum is σ = 9476628480. Its totient is φ = 1230249600.

The previous prime is 4201434401. The next prime is 4201434439. The reversal of 4201434402 is 2044341024.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4201434401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2010174 + ... + 2012262.

It is an arithmetic number, because the mean of its divisors is an integer number (148072320).

Almost surely, 24201434402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4201434402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4738314240).

4201434402 is an abundant number, since it is smaller than the sum of its proper divisors (5275194078).

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

4201434402 is a wasteful number, since it uses less digits than its factorization.

4201434402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4201434402 is about 64818.4726910470. The cubic root of 4201434402 is about 1613.6123001406.

Adding to 4201434402 its reverse (2044341024), we get a palindrome (6245775426).

The spelling of 4201434402 in words is "four billion, two hundred one million, four hundred thirty-four thousand, four hundred two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 983 1023 1966 2046 2089 2949 4178 5898 6267 10813 12534 21626 22979 30473 32439 45958 60946 64759 64878 68937 91419 129518 137874 182838 194277 335203 388554 670406 712349 1005609 1424698 2011218 2053487 2137047 4106974 4274094 6160461 12320922 22588357 45176714 63658097 67765071 127316194 135530142 190974291 381948582 700239067 1400478134 2100717201 4201434402