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4004445104 = 2411531512843
BaseRepresentation
bin1110111010101110…
…1111101110110000
3101100002001212222122
43232223233232300
531200114220404
61501205053412
7201143136032
oct35653575660
911302055878
104004445104
11177544a970
129390b7268
134ba819a5a
1429db8dc52
151868523be
hexeeaefbb0

4004445104 has 80 divisors (see below), whose sum is σ = 8683801344. Its totient is φ = 1773408000.

The previous prime is 4004445103. The next prime is 4004445121. The reversal of 4004445104 is 4015444004.

It is not an unprimeable number, because it can be changed into a prime (4004445103) 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, 1407107 + ... + 1409949.

Almost surely, 24004445104 is an apocalyptic number.

4004445104 is a gapful number since it is divisible by the number (44) 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 4004445104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4341900672).

4004445104 is an abundant number, since it is smaller than the sum of its proper divisors (4679356240).

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

4004445104 is a wasteful number, since it uses less digits than its factorization.

4004445104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

The square root of 4004445104 is about 63280.6850784661. The cubic root of 4004445104 is about 1587.9888478513.

Adding to 4004445104 its reverse (4015444004), we get a palindrome (8019889108).

The spelling of 4004445104 in words is "four billion, four million, four hundred forty-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 151 176 212 302 424 583 604 848 1166 1208 1661 2332 2416 2843 3322 4664 5686 6644 8003 9328 11372 13288 16006 22744 26576 31273 32012 45488 62546 64024 88033 125092 128048 150679 176066 250184 301358 352132 429293 500368 602716 704264 858586 1205432 1408528 1657469 1717172 2410864 3314938 3434344 4722223 6629876 6868688 9444446 13259752 18888892 22752529 26519504 37777784 45505058 75555568 91010116 182020232 250277819 364040464 500555638 1001111276 2002222552 4004445104