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4054214142 = 23211212714657
BaseRepresentation
bin1111000110100110…
…0110010111111110
3101110112201102021100
43301221212113332
531300334323032
61510143513530
7202316152206
oct36151462776
911415642240
104054214142
1117a0553100
129518b88a6
134c7c23ca4
142a6627406
1518add397c
hexf1a665fe

4054214142 has 72 divisors (see below), whose sum is σ = 9731973888. Its totient is φ = 1218792960.

The previous prime is 4054214119. The next prime is 4054214149. The reversal of 4054214142 is 2414124504.

4054214142 is a `hidden beast` number, since 40 + 542 + 1 + 41 + 42 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4054214149) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 269278 + ... + 283934.

It is an arithmetic number, because the mean of its divisors is an integer number (135166304).

Almost surely, 24054214142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4054214142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4865986944).

4054214142 is an abundant number, since it is smaller than the sum of its proper divisors (5677759746).

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

4054214142 is a wasteful number, since it uses less digits than its factorization.

4054214142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14814 (or 14800 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4054214142 is about 63672.7111249395. The cubic root of 4054214142 is about 1594.5405255980.

Adding to 4054214142 its reverse (2414124504), we get a palindrome (6468338646).

The spelling of 4054214142 in words is "four billion, fifty-four million, two hundred fourteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 127 198 242 254 363 381 726 762 1089 1143 1397 2178 2286 2794 4191 8382 12573 14657 15367 25146 29314 30734 43971 46101 87942 92202 131913 138303 161227 263826 276606 322454 483681 967362 1451043 1773497 1861439 2902086 3546994 3722878 5320491 5584317 10640982 11168634 15961473 16752951 20475829 31922946 33505902 40951658 61427487 122854974 184282461 225234119 368564922 450468238 675702357 1351404714 2027107071 4054214142