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4004450121 = 372324383101
BaseRepresentation
bin1110111010101111…
…0000111101001001
3101100002002010212110
43232223300331021
531200114400441
61501205132533
7201143156460
oct35653607511
911302063773
104004450121
111775453711
129390ba149
134ba81c119
1429db919d7
15186853b16
hexeeaf0f49

4004450121 has 96 divisors (see below), whose sum is σ = 6671250432. Its totient is φ = 2091196800.

The previous prime is 4004450119. The next prime is 4004450159. The reversal of 4004450121 is 1210544004.

It is a happy number.

It is not a de Polignac number, because 4004450121 - 21 = 4004450119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (4004458121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39647971 + ... + 39648071.

It is an arithmetic number, because the mean of its divisors is an integer number (69492192).

Almost surely, 24004450121 is an apocalyptic number.

It is an amenable number.

4004450121 is a deficient number, since it is larger than the sum of its proper divisors (2666800311).

4004450121 is a wasteful number, since it uses less digits than its factorization.

4004450121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 4004450121 is about 63280.7247193014. The cubic root of 4004450121 is about 1587.9895110257.

Adding to 4004450121 its reverse (1210544004), we get a palindrome (5214994125).

The spelling of 4004450121 in words is "four billion, four million, four hundred fifty thousand, one hundred twenty-one".

Divisors: 1 3 7 21 23 43 69 83 101 129 161 249 301 303 483 529 581 707 903 989 1587 1743 1909 2121 2323 2967 3569 3703 4343 5727 6923 6969 8383 10707 11109 13029 13363 16261 20769 22747 24983 25149 30401 40089 43907 48783 53429 58681 68241 74949 82087 91203 99889 131721 159229 160287 176043 192809 246261 299667 307349 360469 374003 477687 574609 578427 699223 922047 1081407 1122009 1349663 1723827 1888001 2097669 2297447 2523283 4048989 4434607 5664003 6892341 7569849 8290787 13216007 13303821 16082129 24872361 31042249 39648021 48246387 58035509 93126747 174106527 190688101 572064303 1334816707 4004450121