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8141275040 = 2551923116437
BaseRepresentation
bin1111001010100000…
…11111111110100000
3210000101020121211012
413211100133332200
5113133131300130
63423503440052
7405514460513
oct74520377640
923011217735
108141275040
1134a85a0488
1216b25b6028
139c98a8912
14573360d7a
15329b04995
hex1e541ffa0

8141275040 has 96 divisors (see below), whose sum is σ = 21126510720. Its totient is φ = 2950953984.

The previous prime is 8141275031. The next prime is 8141275091. The reversal of 8141275040 is 405721418.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 8141274988 and 8141275006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11702 + ... + 128138.

It is an arithmetic number, because the mean of its divisors is an integer number (220067820).

Almost surely, 28141275040 is an apocalyptic number.

8141275040 is a gapful number since it is divisible by the number (80) 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 8141275040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10563255360).

8141275040 is an abundant number, since it is smaller than the sum of its proper divisors (12985235680).

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

8141275040 is a wasteful number, since it uses less digits than its factorization.

8141275040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116494 (or 116486 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 8141275040 is about 90229.0144022420. The cubic root of 8141275040 is about 2011.7042911695.

Adding to 8141275040 its reverse (405721418), we get a palindrome (8546996458).

The spelling of 8141275040 in words is "eight billion, one hundred forty-one million, two hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 23 32 38 40 46 76 80 92 95 115 152 160 184 190 230 304 368 380 437 460 608 736 760 874 920 1520 1748 1840 2185 3040 3496 3680 4370 6992 8740 13984 17480 34960 69920 116437 232874 465748 582185 931496 1164370 1862992 2212303 2328740 2678051 3725984 4424606 4657480 5356102 8849212 9314960 10712204 11061515 13390255 17698424 18629920 21424408 22123030 26780510 35396848 42848816 44246060 50882969 53561020 70793696 85697632 88492120 101765938 107122040 176984240 203531876 214244080 254414845 353968480 407063752 428488160 508829690 814127504 1017659380 1628255008 2035318760 4070637520 8141275040