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4001424140 = 225749158211
BaseRepresentation
bin1110111010000000…
…1110001100001100
3101022212101102000002
43232200032030030
531143331033030
61501020223432
7201105354410
oct35640161414
911285342002
104001424140
1117737771aa
1293809ab78
134b9ccc9bc
1429d604d40
15186457245
hexee80e30c

4001424140 has 48 divisors (see below), whose sum is σ = 9623142144. Its totient is φ = 1369099200.

The previous prime is 4001424131. The next prime is 4001424199. The reversal of 4001424140 is 414241004.

It is a happy number.

It is a super-2 number, since 2×40014241402 = 32022790296349479200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 39635 + ... + 97845.

It is an arithmetic number, because the mean of its divisors is an integer number (200482128).

Almost surely, 24001424140 is an apocalyptic number.

It is an amenable number.

4001424140 is an abundant number, since it is smaller than the sum of its proper divisors (5621718004).

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

4001424140 is a wasteful number, since it uses less digits than its factorization.

4001424140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58718 (or 58716 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4001424140 is about 63256.8110166803. The cubic root of 4001424140 is about 1587.5894197260.

Adding to 4001424140 its reverse (414241004), we get a palindrome (4415665144).

The spelling of 4001424140 in words is "four billion, one million, four hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 491 982 1964 2455 3437 4910 6874 9820 13748 17185 34370 58211 68740 116422 232844 291055 407477 582110 814954 1164220 1629908 2037385 4074770 8149540 28581601 57163202 114326404 142908005 200071207 285816010 400142414 571632020 800284828 1000356035 2000712070 4001424140