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4234412034100 = 2252173332442977
BaseRepresentation
bin111101100111100110101…
…000000000100000110100
3112222210202110021211210001
4331213212220000200310
51023334033440042400
613001132333241044
7614632451265133
oct75474650004064
915883673254701
104234412034100
111392893225376
125847a8033184
132493c3597361
14108d377d791a
157523056ca6a
hex3d9e6a00834

4234412034100 has 36 divisors (see below), whose sum is σ = 9189208001484. Its totient is φ = 1693666401280.

The previous prime is 4234412033993. The next prime is 4234412034107. The reversal of 4234412034100 is 14302144324.

It can be written as a sum of positive squares in 6 ways, for example, as 1469734330276 + 2764677703824 = 1212326^2 + 1662732^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4234412034107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 511812 + ... + 2954788.

It is an arithmetic number, because the mean of its divisors is an integer number (255255777819).

Almost surely, 24234412034100 is an apocalyptic number.

It is an amenable number.

4234412034100 is an abundant number, since it is smaller than the sum of its proper divisors (4954795967384).

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

4234412034100 is a wasteful number, since it uses less digits than its factorization.

4234412034100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460324 (or 2460317 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4234412034100 its reverse (14302144324), we get a palindrome (4248714178424).

The spelling of 4234412034100 in words is "four trillion, two hundred thirty-four billion, four hundred twelve million, thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 17333 34666 69332 86665 173330 346660 433325 866650 1733300 2442977 4885954 9771908 12214885 24429770 48859540 61074425 122148850 244297700 42344120341 84688240682 169376481364 211720601705 423441203410 846882406820 1058603008525 2117206017050 4234412034100