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4214120401 = 61103366877
BaseRepresentation
bin1111101100101110…
…0101111111010001
3101212200121111102101
43323023211333101
532112303323101
61534055120401
7206300301211
oct37313457721
911780544371
104214120401
111872841037
12997373101
135220b0b8a
142bd970241
15199e6d401
hexfb2e5fd1

4214120401 has 8 divisors (see below), whose sum is σ = 4287414824. Its totient is φ = 4140961920.

The previous prime is 4214120311. The next prime is 4214120441. The reversal of 4214120401 is 1040214124.

It can be written as a sum of positive squares in 4 ways, for example, as 15210000 + 4198910401 = 3900^2 + 64799^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4214120401 - 211 = 4214118353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4214120441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29575 + ... + 96451.

It is an arithmetic number, because the mean of its divisors is an integer number (535926853).

Almost surely, 24214120401 is an apocalyptic number.

It is an amenable number.

4214120401 is a deficient number, since it is larger than the sum of its proper divisors (73294423).

4214120401 is a wasteful number, since it uses less digits than its factorization.

4214120401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67971.

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 4214120401 is about 64916.2568313978. The cubic root of 4214120401 is about 1615.2347393362.

Adding to 4214120401 its reverse (1040214124), we get a palindrome (5254334525).

The spelling of 4214120401 in words is "four billion, two hundred fourteen million, one hundred twenty thousand, four hundred one".

Divisors: 1 61 1033 63013 66877 4079497 69083941 4214120401