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4134031300 = 2252730719237
BaseRepresentation
bin1111011001101000…
…0100111111000100
3101200002220112211101
43312122010333010
531431303000200
61522114345444
7204305454250
oct36632047704
911602815741
104134031300
1118316099a3
1297458b284
1350b61c089
142b3083260
15192ded26a
hexf6684fc4

4134031300 has 72 divisors (see below), whose sum is σ = 10286327744. Its totient is φ = 1412691840.

The previous prime is 4134031277. The next prime is 4134031331. The reversal of 4134031300 is 31304314.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 205282 + ... + 224518.

Almost surely, 24134031300 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 4134031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5143163872).

4134031300 is an abundant number, since it is smaller than the sum of its proper divisors (6152296444).

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

4134031300 is a wasteful number, since it uses less digits than its factorization.

4134031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19565 (or 19558 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 4134031300 is about 64296.4330270350. The cubic root of 4134031300 is about 1604.9367443683.

Adding to 4134031300 its reverse (31304314), we get a palindrome (4165335614).

The spelling of 4134031300 in words is "four billion, one hundred thirty-four million, thirty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 307 350 614 700 1228 1535 2149 3070 4298 6140 7675 8596 10745 15350 19237 21490 30700 38474 42980 53725 76948 96185 107450 134659 192370 214900 269318 384740 480925 538636 673295 961850 1346590 1923700 2693180 3366475 5905759 6732950 11811518 13465900 23623036 29528795 41340313 59057590 82680626 118115180 147643975 165361252 206701565 295287950 413403130 590575900 826806260 1033507825 2067015650 4134031300