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4214003104 = 25314998513
BaseRepresentation
bin1111101100101100…
…1001010110100000
3101212200101112112001
43323023021112200
532112241044404
61534052413344
7206266302223
oct37313112640
911780345461
104214003104
1118727709a3
12997317254
1352206c67c
142bd93d5ba
15199e487a4
hexfb2c95a0

4214003104 has 48 divisors (see below), whose sum is σ = 8582112000. Its totient is φ = 2034708480.

The previous prime is 4214003071. The next prime is 4214003113. The reversal of 4214003104 is 4013004124.

4214003104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 490752 + ... + 499264.

It is an arithmetic number, because the mean of its divisors is an integer number (178794000).

Almost surely, 24214003104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4214003104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291056000).

4214003104 is an abundant number, since it is smaller than the sum of its proper divisors (4368108896).

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

4214003104 is a wasteful number, since it uses less digits than its factorization.

4214003104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9053 (or 9045 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4214003104 is about 64915.3533765318. The cubic root of 4214003104 is about 1615.2197528994.

Adding to 4214003104 its reverse (4013004124), we get a palindrome (8227007228).

The spelling of 4214003104 in words is "four billion, two hundred fourteen million, three thousand, one hundred four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 499 992 998 1996 3992 7984 8513 15469 15968 17026 30938 34052 61876 68104 123752 136208 247504 263903 272416 495008 527806 1055612 2111224 4222448 4247987 8444896 8495974 16991948 33983896 67967792 131687597 135935584 263375194 526750388 1053500776 2107001552 4214003104