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4204125434304 = 26328118999789
BaseRepresentation
bin111101001011011001011…
…001110011000111000000
3112212220120201201011101200
4331023121121303013000
51022340022102344204
612535203142301200
7612511101400305
oct75133131630700
915786521634350
104204125434304
111380a6122a704
1257a955127800
132465a7a168a3
141076a32a70ac
157455b6d0539
hex3d2d96731c0

4204125434304 has 84 divisors (see below), whose sum is σ = 12065226471480. Its totient is φ = 1399647029760.

The previous prime is 4204125434297. The next prime is 4204125434309. The reversal of 4204125434304 is 4034345214024.

4204125434304 is a `hidden beast` number, since 4 + 20 + 41 + 254 + 343 + 0 + 4 = 666.

4204125434304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4204125434309) 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, 4032759 + ... + 4967030.

It is an arithmetic number, because the mean of its divisors is an integer number (143633648470).

Almost surely, 24204125434304 is an apocalyptic number.

It is an amenable number.

4204125434304 is an abundant number, since it is smaller than the sum of its proper divisors (7861101037176).

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

4204125434304 is a wasteful number, since it uses less digits than its factorization.

4204125434304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9000618 (or 9000605 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 4204125434304 in words is "four trillion, two hundred four billion, one hundred twenty-five million, four hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 811 1622 2433 3244 4866 6488 7299 9732 12976 14598 19464 25952 29196 38928 51904 58392 77856 116784 155712 233568 467136 8999789 17999578 26999367 35999156 53998734 71998312 80998101 107997468 143996624 161996202 215994936 287993248 323992404 431989872 575986496 647984808 863979744 1295969616 1727959488 2591939232 5183878464 7298828879 14597657758 21896486637 29195315516 43792973274 58390631032 65689459911 87585946548 116781262064 131378919822 175171893096 233562524128 262757839644 350343786192 467125048256 525515679288 700687572384 1051031358576 1401375144768 2102062717152 4204125434304