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4341142100 = 2252177334981
BaseRepresentation
bin1000000101100000…
…01001001001010100
3102012112121212102202
410002300021021110
532342313021400
61554433424032
7212402045651
oct40260111124
912175555382
104341142100
111928509349
12a11a0b018
135424c5b49
142d2796c28
151a61ae4d5
hex102c09254

4341142100 has 72 divisors (see below), whose sum is σ = 10111337208. Its totient is φ = 1611878400.

The previous prime is 4341142093. The next prime is 4341142129. The reversal of 4341142100 is 12411434.

It can be written as a sum of positive squares in 12 ways, for example, as 431891524 + 3909250576 = 20782^2 + 62524^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106610 + ... + 141590.

It is an arithmetic number, because the mean of its divisors is an integer number (140435239).

Almost surely, 24341142100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4341142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5055668604).

4341142100 is an abundant number, since it is smaller than the sum of its proper divisors (5770195108).

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

4341142100 is a wasteful number, since it uses less digits than its factorization.

4341142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35085 (or 35078 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4341142100 is about 65887.3440047480. The cubic root of 4341142100 is about 1631.3031219275.

Adding to 4341142100 its reverse (12411434), we get a palindrome (4353553534).

The spelling of 4341142100 in words is "four billion, three hundred forty-one million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 73 85 100 146 170 292 340 365 425 730 850 1241 1460 1700 1825 2482 3650 4964 6205 7300 12410 24820 31025 34981 62050 69962 124100 139924 174905 349810 594677 699620 874525 1189354 1749050 2378708 2553613 2973385 3498100 5107226 5946770 10214452 11893540 12768065 14866925 25536130 29733850 43411421 51072260 59467700 63840325 86822842 127680650 173645684 217057105 255361300 434114210 868228420 1085285525 2170571050 4341142100