Search a number
-
+
4214101144 = 231167714739
BaseRepresentation
bin1111101100101110…
…0001010010011000
3101212200120112000011
43323023201102120
532112302214034
61534054451304
7206300161111
oct37313412230
911780515004
104214101144
111872828620
12997363b34
135220a5196
142bd967208
15199e67864
hexfb2e1498

4214101144 has 32 divisors (see below), whose sum is σ = 8748417600. Its totient is φ = 1886908320.

The previous prime is 4214101097. The next prime is 4214101163. The reversal of 4214101144 is 4411014124.

4214101144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×42141011445 (a number of 49 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 351474 + ... + 363265.

It is an arithmetic number, because the mean of its divisors is an integer number (273388050).

Almost surely, 24214101144 is an apocalyptic number.

4214101144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4214101144 is an abundant number, since it is smaller than the sum of its proper divisors (4534316456).

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

4214101144 is a wasteful number, since it uses less digits than its factorization.

4214101144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714823 (or 714819 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 4214101144 is about 64916.1085093677. The cubic root of 4214101144 is about 1615.2322789870.

Adding to 4214101144 its reverse (4411014124), we get a palindrome (8625115268).

The spelling of 4214101144 in words is "four billion, two hundred fourteen million, one hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 67 88 134 268 536 737 1474 2948 5896 714739 1429478 2858956 5717912 7862129 15724258 31448516 47887513 62897032 95775026 191550052 383100104 526762643 1053525286 2107050572 4214101144