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7147140000 = 2535472111317
BaseRepresentation
bin1101010100000000…
…01011001110100000
3200110002121022220220
412222000023032200
5104114131440000
63141112003040
7342053454600
oct65200131640
920402538826
107147140000
113038413080
121475690480
1389b943130
144bb2dcc00
152bc6d11a0
hex1aa00b3a0

7147140000 has 1440 divisors, whose sum is σ = 33924090816. Its totient is φ = 1290240000.

The previous prime is 7147139981. The next prime is 7147140059. The reversal of 7147140000 is 417417.

It is a super-2 number, since 2×71471400002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 420419992 + ... + 420420008.

Almost surely, 27147140000 is an apocalyptic number.

7147140000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7147140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16962045408).

7147140000 is an abundant number, since it is smaller than the sum of its proper divisors (26776950816).

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

7147140000 is a wasteful number, since it uses less digits than its factorization.

7147140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 7147140000 is about 84540.7594004218. The cubic root of 7147140000 is about 1926.2416232244.

Adding to 7147140000 its reverse (417417), we get a palindrome (7147557417).

It can be divided in two parts, 714 and 7140000, that multiplied together give a square (5097960000 = 714002).

The spelling of 7147140000 in words is "seven billion, one hundred forty-seven million, one hundred forty thousand".