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4014421004 = 22111719436569
BaseRepresentation
bin1110111101000111…
…0011010000001100
3101100202211201100102
43233101303100030
531210142433004
61502202550232
7201324005216
oct35721632014
911322751312
104014421004
111780043a10
12940508378
134bc900659
142a12295b6
1518767311e
hexef47340c

4014421004 has 96 divisors (see below), whose sum is σ = 8741779200. Its totient is φ = 1588930560.

The previous prime is 4014421003. The next prime is 4014421049. The reversal of 4014421004 is 4001244104.

It is a happy number.

4014421004 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 2×40144210042 = 32231151994712736032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4014421003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 607832 + ... + 614400.

It is an arithmetic number, because the mean of its divisors is an integer number (91060200).

Almost surely, 24014421004 is an apocalyptic number.

4014421004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4014421004 is an abundant number, since it is smaller than the sum of its proper divisors (4727358196).

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

4014421004 is a wasteful number, since it uses less digits than its factorization.

4014421004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6663 (or 6661 counting only the distinct ones).

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

The square root of 4014421004 is about 63359.4586782431. The cubic root of 4014421004 is about 1589.3064237615.

Adding to 4014421004 its reverse (4001244104), we get a palindrome (8015665108).

Subtracting from 4014421004 its reverse (4001244104), we obtain a square (13176900 = 36302).

The spelling of 4014421004 in words is "four billion, fourteen million, four hundred twenty-one thousand, four".

Divisors: 1 2 4 11 17 19 22 34 38 43 44 68 76 86 172 187 209 323 374 418 473 646 731 748 817 836 946 1292 1462 1634 1892 2924 3268 3553 6569 7106 8041 8987 13138 13889 14212 16082 17974 26276 27778 32164 35948 55556 72259 111673 124811 144518 152779 223346 249622 282467 289036 305558 446692 499244 564934 611116 1129868 1228403 1372921 2121787 2456806 2745842 3107137 4243574 4801939 4913612 5366873 5491684 6214274 8487148 9603878 10733746 12428548 19207756 21467492 23339657 46679314 52821329 59035603 91236841 93358628 105642658 118071206 182473682 211285316 236142412 364947364 1003605251 2007210502 4014421004