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7145000000 = 26571429
BaseRepresentation
bin1101010011110000…
…00000110001000000
3200102221120121101122
412221320000301000
5104113110000000
63140554051412
7342026332535
oct65170006100
920387517348
107145000000
113037191286
121474a19b68
1389b374068
144bad02d8c
152bc40c085
hex1a9e00c40

7145000000 has 112 divisors (see below), whose sum is σ = 17735306160. Its totient is φ = 2856000000.

The previous prime is 7144999987. The next prime is 7145000029. The reversal of 7145000000 is 5417.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3767995456 + 3377004544 = 61384^2 + 58112^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4999286 + ... + 5000714.

Almost surely, 27145000000 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 7145000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8867653080).

7145000000 is an abundant number, since it is smaller than the sum of its proper divisors (10590306160).

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

7145000000 is an frugal number, since it uses more digits than its factorization.

7145000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 7145000000 is about 84528.1018360166. The cubic root of 7145000000 is about 1926.0493519774.

Adding to 7145000000 its reverse (5417), we get a palindrome (7145005417).

The spelling of 7145000000 in words is "seven billion, one hundred forty-five million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1429 1600 2000 2500 2858 3125 4000 5000 5716 6250 7145 8000 10000 11432 12500 14290 15625 20000 22864 25000 28580 31250 35725 40000 45728 50000 57160 62500 71450 78125 91456 100000 114320 125000 142900 156250 178625 200000 228640 250000 285800 312500 357250 457280 500000 571600 625000 714500 893125 1000000 1143200 1250000 1429000 1786250 2286400 2500000 2858000 3572500 4465625 5000000 5716000 7145000 8931250 11432000 14290000 17862500 22328125 28580000 35725000 44656250 57160000 71450000 89312500 111640625 142900000 178625000 223281250 285800000 357250000 446562500 714500000 893125000 1429000000 1786250000 3572500000 7145000000