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7143942960 = 2433571142953
BaseRepresentation
bin1101010011100111…
…11110101100110000
3200102212120220102000
412221303332230300
5104112322133320
63140515254000
7342014341020
oct65163765460
920385526360
107143942960
11303662a0a0
1214745aa300
1389b093bab
144bab09a80
152bc29dc90
hex1a9cfeb30

7143942960 has 320 divisors, whose sum is σ = 30679464960. Its totient is φ = 1484421120.

The previous prime is 7143942931. The next prime is 7143942977. The reversal of 7143942960 is 692493417.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144844 + ... + 187796.

It is an arithmetic number, because the mean of its divisors is an integer number (95873328).

Almost surely, 27143942960 is an apocalyptic number.

7143942960 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 7143942960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15339732480).

7143942960 is an abundant number, since it is smaller than the sum of its proper divisors (23535522000).

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

7143942960 is a wasteful number, since it uses less digits than its factorization.

7143942960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42993 (or 42981 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 7143942960 is about 84521.8490095904. The cubic root of 7143942960 is about 1925.9543665977.

The spelling of 7143942960 in words is "seven billion, one hundred forty-three million, nine hundred forty-two thousand, nine hundred sixty".