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4002012441 = 3672927043
BaseRepresentation
bin1110111010001001…
…1101110100011001
3101022220111022000000
43232202131310121
531144003344231
61501041003213
7201113354520
oct35642356431
911286438000
104002012441
1117740391a9
12938323509
134ba1776cb
1429d7194b7
151865216e6
hexee89dd19

4002012441 has 56 divisors (see below), whose sum is σ = 7094182080. Its totient is φ = 2207925216.

The previous prime is 4002012439. The next prime is 4002012479. The reversal of 4002012441 is 1442102004.

4002012441 is a `hidden beast` number, since 400 + 20 + 1 + 244 + 1 = 666.

It is not a de Polignac number, because 4002012441 - 21 = 4002012439 is a prime.

It is a super-2 number, since 2×40020124412 = 32032207155837556962, which contains 22 as substring.

4002012441 is a modest number, since divided by 12441 gives 4002 as remainder.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4002012401) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 134466 + ... + 161508.

Almost surely, 24002012441 is an apocalyptic number.

It is an amenable number.

4002012441 is a deficient number, since it is larger than the sum of its proper divisors (3092169639).

4002012441 is an equidigital number, since it uses as much as digits as its factorization.

4002012441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27097 (or 27082 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4002012441 is about 63261.4609458239. The cubic root of 4002012441 is about 1587.6672199159.

Adding to 4002012441 its reverse (1442102004), we get a palindrome (5444114445).

The spelling of 4002012441 in words is "four billion, two million, twelve thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 27 29 63 81 87 189 203 243 261 567 609 729 783 1701 1827 2349 5103 5481 7047 16443 21141 27043 49329 81129 147987 189301 243387 567903 730161 784247 1703709 2190483 2352741 5111127 5489729 6571449 7058223 15333381 16469187 19714347 21174669 46000143 49407561 63524007 138000429 148222683 190572021 444668049 571716063 1334004147 4002012441