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4134130500 = 2235318115227
BaseRepresentation
bin1111011001101001…
…1101001101000100
3101200010002120220110
43312122131031010
531431314134000
61522120433020
7204306346413
oct36632351504
911603076813
104134130500
111831677485
12974618770
1350b655286
142b30ab47a
15192e1c850
hexf669d344

4134130500 has 96 divisors (see below), whose sum is σ = 12105894528. Its totient is φ = 1096272000.

The previous prime is 4134130477. The next prime is 4134130513. The reversal of 4134130500 is 50314314.

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 31 ways as a sum of consecutive naturals, for example, 263887 + ... + 279113.

It is an arithmetic number, because the mean of its divisors is an integer number (126103068).

Almost surely, 24134130500 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 4134130500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6052947264).

4134130500 is an abundant number, since it is smaller than the sum of its proper divisors (7971764028).

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

4134130500 is a wasteful number, since it uses less digits than its factorization.

4134130500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15430 (or 15418 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 4134130500 is about 64297.2044493382. The cubic root of 4134130500 is about 1604.9495815918.

Adding to 4134130500 its reverse (50314314), we get a palindrome (4184444814).

The spelling of 4134130500 in words is "four billion, one hundred thirty-four million, one hundred thirty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 181 250 300 362 375 500 543 724 750 905 1086 1500 1810 2172 2715 3620 4525 5430 9050 10860 13575 15227 18100 22625 27150 30454 45250 45681 54300 60908 67875 76135 90500 91362 135750 152270 182724 228405 271500 304540 380675 456810 761350 913620 1142025 1522700 1903375 2284050 2756087 3806750 4568100 5512174 5710125 7613500 8268261 11024348 11420250 13780435 16536522 22840500 27560870 33073044 41341305 55121740 68902175 82682610 137804350 165365220 206706525 275608700 344510875 413413050 689021750 826826100 1033532625 1378043500 2067065250 4134130500