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4114203104 = 251159397499
BaseRepresentation
bin1111010100111001…
…1100000111100000
3101121201121011122202
43311032130013200
531411213444404
61520125352332
7203645102144
oct36516340740
911551534582
104114203104
1118213a6760
12969a086a8
13507498c0b
142b05a1224
151912d321e
hexf539c1e0

4114203104 has 96 divisors (see below), whose sum is σ = 9026640000. Its totient is φ = 1830090240.

The previous prime is 4114203083. The next prime is 4114203113. The reversal of 4114203104 is 4013024114.

4114203104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8244647 + ... + 8245145.

It is an arithmetic number, because the mean of its divisors is an integer number (94027500).

Almost surely, 24114203104 is an apocalyptic number.

4114203104 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 4114203104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4513320000).

4114203104 is an abundant number, since it is smaller than the sum of its proper divisors (4912436896).

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

4114203104 is a wasteful number, since it uses less digits than its factorization.

4114203104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4114203104 is about 64142.0540986957. The cubic root of 4114203104 is about 1602.3666933339.

Adding to 4114203104 its reverse (4013024114), we get a palindrome (8127227218).

The spelling of 4114203104 in words is "four billion, one hundred fourteen million, two hundred three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 59 88 118 176 236 352 397 472 499 649 794 944 998 1298 1588 1888 1996 2596 3176 3992 4367 5192 5489 6352 7984 8734 10384 10978 12704 15968 17468 20768 21956 23423 29441 34936 43912 46846 58882 69872 87824 93692 117764 139744 175648 187384 198103 235528 257653 323851 374768 396206 471056 515306 647702 749536 792412 942112 1030612 1295404 1584824 2061224 2179133 2590808 3169648 4122448 4358266 5181616 6339296 8244896 8716532 10363232 11688077 17433064 23376154 34866128 46752308 69732256 93504616 128568847 187009232 257137694 374018464 514275388 1028550776 2057101552 4114203104