Search a number
-
+
7142499000 = 2335537131719
BaseRepresentation
bin1101010011011100…
…11110001010111000
3200102202212112200000
412221232132022320
5104111434432000
63140424313000
7341666145150
oct65156361270
920382775600
107142499000
11303583323a
121474012760
1389a9a9890
144ba851760
152bc0b6000
hex1a9b9e2b8

7142499000 has 1536 divisors, whose sum is σ = 34342963200. Its totient is φ = 1343692800.

The previous prime is 7142498999. The next prime is 7142499011. The reversal of 7142499000 is 9942417.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 375920991 + ... + 375921009.

It is an arithmetic number, because the mean of its divisors is an integer number (22358700).

Almost surely, 27142499000 is an apocalyptic number.

7142499000 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 7142499000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17171481600).

7142499000 is an abundant number, since it is smaller than the sum of its proper divisors (27200464200).

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

7142499000 is a wasteful number, since it uses less digits than its factorization.

7142499000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 7142499000 is about 84513.3066445752. The cubic root of 7142499000 is about 1925.8245975298.

The spelling of 7142499000 in words is "seven billion, one hundred forty-two million, four hundred ninety-nine thousand".