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7142916690 = 2335731317349
BaseRepresentation
bin1101010011100000…
…00100001001010010
3200102210122202122000
412221300010021102
5104112041313230
63140441254430
7342002535000
oct65160041122
920383582560
107142916690
113035a99038
121474194416
1389aac4a30
144ba91da70
152bc149b60
hex1a9c04252

7142916690 has 512 divisors, whose sum is σ = 25401600000. Its totient is φ = 1414361088.

The previous prime is 7142916667. The next prime is 7142916701. The reversal of 7142916690 is 966192417.

It is a super-2 number, since 2×71429166902 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20466636 + ... + 20466984.

It is an arithmetic number, because the mean of its divisors is an integer number (49612500).

Almost surely, 27142916690 is an apocalyptic number.

7142916690 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7142916690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12700800000).

7142916690 is an abundant number, since it is smaller than the sum of its proper divisors (18258683310).

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

7142916690 is a wasteful number, since it uses less digits than its factorization.

7142916690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 7142916690 is about 84515.7777577654. Note that the first 4 decimals coincide. The cubic root of 7142916690 is about 1925.8621372385.

The spelling of 7142916690 in words is "seven billion, one hundred forty-two million, nine hundred sixteen thousand, six hundred ninety".