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7134423400 = 2352132994621
BaseRepresentation
bin1101010010011111…
…01010100101101000
3200102012200021000201
412221033222211220
5104102403022100
63135535241544
7341540412136
oct65117524550
920365607021
107134423400
113031217995
1214713792b4
1389910cc10
144b974c756
152bb51d36a
hex1a93ea968

7134423400 has 96 divisors (see below), whose sum is σ = 18479676600. Its totient is φ = 2543385600.

The previous prime is 7134423397. The next prime is 7134423433. The reversal of 7134423400 is 43244317.

It can be written as a sum of positive squares in 12 ways, for example, as 251729956 + 6882693444 = 15866^2 + 82962^2 .

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, 28090 + ... + 122710.

Almost surely, 27134423400 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 7134423400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9239838300).

7134423400 is an abundant number, since it is smaller than the sum of its proper divisors (11345253200).

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

7134423400 is a wasteful number, since it uses less digits than its factorization.

7134423400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94679 (or 94670 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 7134423400 is about 84465.5160405713. The cubic root of 7134423400 is about 1925.0985185987.

Adding to 7134423400 its reverse (43244317), we get a palindrome (7177667717).

The spelling of 7134423400 in words is "seven billion, one hundred thirty-four million, four hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 29 40 50 52 58 65 100 104 116 130 145 200 232 260 290 325 377 520 580 650 725 754 1160 1300 1450 1508 1885 2600 2900 3016 3770 5800 7540 9425 15080 18850 37700 75400 94621 189242 378484 473105 756968 946210 1230073 1892420 2365525 2460146 2744009 3784840 4731050 4920292 5488018 6150365 9462100 9840584 10976036 12300730 13720045 18924200 21952072 24601460 27440090 30751825 35672117 49202920 54880180 61503650 68600225 71344234 109760360 123007300 137200450 142688468 178360585 246014600 274400900 285376936 356721170 548801800 713442340 891802925 1426884680 1783605850 3567211700 7134423400