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4021031040 = 273513712269
BaseRepresentation
bin1110111110101100…
…0001000010000000
3101101020021112121120
43233223001002000
531213340443130
61503000352240
7201434125365
oct35753010200
911336245546
104021031040
111783849154
12942775680
134c10a6210
142a206a46c
1518802b910
hexefac1080

4021031040 has 256 divisors, whose sum is σ = 14003539200. Its totient is φ = 975421440.

The previous prime is 4021031017. The next prime is 4021031087. The reversal of 4021031040 is 401301204.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1771026 + ... + 1773294.

It is an arithmetic number, because the mean of its divisors is an integer number (54701325).

Almost surely, 24021031040 is an apocalyptic number.

4021031040 is a gapful number since it is divisible by the number (40) 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 4021031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7001769600).

4021031040 is an abundant number, since it is smaller than the sum of its proper divisors (9982508160).

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

4021031040 is a wasteful number, since it uses less digits than its factorization.

4021031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4021031040 is about 63411.6002005942. The cubic root of 4021031040 is about 1590.1782482813.

Adding to 4021031040 its reverse (401301204), we get a palindrome (4422332244).

The spelling of 4021031040 in words is "four billion, twenty-one million, thirty-one thousand, forty".