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4005140144 = 242310883533
BaseRepresentation
bin1110111010111001…
…1001011010110000
3101100010101012101212
43232232121122300
531200303441034
61501232015252
7201152062265
oct35656313260
911303335355
104005140144
111775885085
12939391528
134baa01215
1429dcd126c
1518693d2ce
hexeeb996b0

4005140144 has 20 divisors (see below), whose sum is σ = 8097349296. Its totient is φ = 1915501632.

The previous prime is 4005140141. The next prime is 4005140233. The reversal of 4005140144 is 4410415004.

It is a happy number.

It is a super-2 number, since 2×40051401442 = 32082295146160681472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (4005140141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5441399 + ... + 5442134.

Almost surely, 24005140144 is an apocalyptic number.

It is an amenable number.

4005140144 is an abundant number, since it is smaller than the sum of its proper divisors (4092209152).

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

4005140144 is a wasteful number, since it uses less digits than its factorization.

4005140144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10883564 (or 10883558 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 4005140144 is about 63286.1765632907. The cubic root of 4005140144 is about 1588.0807167528.

Adding to 4005140144 its reverse (4410415004), we get a palindrome (8415555148).

The spelling of 4005140144 in words is "four billion, five million, one hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 46 92 184 368 10883533 21767066 43534132 87068264 174136528 250321259 500642518 1001285036 2002570072 4005140144