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4000123424 = 251111363987
BaseRepresentation
bin1110111001101101…
…0000101000100000
3101022202221022202102
43232123100220200
531143012422144
61500532305532
7201061326263
oct35633205040
911282838672
104000123424
111772a68a30
129377722a8
134b996594b
1429d386cda
1518629bb4e
hexee6d0a20

4000123424 has 24 divisors (see below), whose sum is σ = 8591174928. Its totient is φ = 1818237760.

The previous prime is 4000123399. The next prime is 4000123429. The reversal of 4000123424 is 4243210004.

It is a junction number, because it is equal to n+sod(n) for n = 4000123396 and 4000123405.

It is not an unprimeable number, because it can be changed into a prime (4000123429) 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, 5681642 + ... + 5682345.

It is an arithmetic number, because the mean of its divisors is an integer number (357965622).

Almost surely, 24000123424 is an apocalyptic number.

4000123424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4000123424 is an abundant number, since it is smaller than the sum of its proper divisors (4591051504).

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

4000123424 is a wasteful number, since it uses less digits than its factorization.

4000123424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11364008 (or 11364000 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4000123424 is about 63246.5289482356. The cubic root of 4000123424 is about 1587.4173787492.

Adding to 4000123424 its reverse (4243210004), we get a palindrome (8243333428).

The spelling of 4000123424 in words is "four billion, one hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 11363987 22727974 45455948 90911896 125003857 181823792 250007714 363647584 500015428 1000030856 2000061712 4000123424