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4014104000 = 2653677489
BaseRepresentation
bin1110111101000010…
…0101110111000000
3101100202020121111112
43233100211313000
531210102312000
61502152102452
7201321215054
oct35720456700
911322217445
104014104000
11177a947825
12940394a28
134bc81c28a
142a1185c64
1518760e235
hexef425dc0

4014104000 has 112 divisors (see below), whose sum is σ = 10090647840. Its totient is φ = 1581465600.

The previous prime is 4014103987. The next prime is 4014104009. The reversal of 4014104000 is 4014104.

4014104000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40141040002 = 32226061845632000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4014104009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532256 + ... + 539744.

It is an arithmetic number, because the mean of its divisors is an integer number (90095070).

Almost surely, 24014104000 is an apocalyptic number.

4014104000 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 4014104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045323920).

4014104000 is an abundant number, since it is smaller than the sum of its proper divisors (6076543840).

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

4014104000 is an equidigital number, since it uses as much as digits as its factorization.

4014104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7583 (or 7563 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4014104000 is about 63356.9569976337. The cubic root of 4014104000 is about 1589.2645887742.

Adding to 4014104000 its reverse (4014104), we get a palindrome (4018118104).

4014104000 divided by its reverse (4014104) gives a cube (1000 = 103).

The spelling of 4014104000 in words is "four billion, fourteen million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 67 80 100 125 134 160 200 250 268 320 335 400 500 536 670 800 1000 1072 1340 1600 1675 2000 2144 2680 3350 4000 4288 5360 6700 7489 8000 8375 10720 13400 14978 16750 21440 26800 29956 33500 37445 53600 59912 67000 74890 107200 119824 134000 149780 187225 239648 268000 299560 374450 479296 501763 536000 599120 748900 936125 1003526 1198240 1497800 1872250 2007052 2396480 2508815 2995600 3744500 4014104 5017630 5991200 7489000 8028208 10035260 11982400 12544075 14978000 16056416 20070520 25088150 29956000 32112832 40141040 50176300 59912000 62720375 80282080 100352600 125440750 160564160 200705200 250881500 401410400 501763000 802820800 1003526000 2007052000 4014104000