Search a number
-
+
142214412240 = 24325466342359
BaseRepresentation
bin1000010001110010100…
…0111011011111010000
3111121002011111200021100
42010130220323133100
54312223342142430
6145155444224400
713163130362445
oct2043450733720
9447064450240
10142214412240
11553493678aa
122368b39b100
131054559b5b4
146c5177b9cc
153a75338960
hex211ca3b7d0

142214412240 has 120 divisors (see below), whose sum is σ = 477717102720. Its totient is φ = 37914815232.

The previous prime is 142214412239. The next prime is 142214412251. The reversal of 142214412240 is 42214412241.

142214412240 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 1 + 4 + 412 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3336181 + ... + 3378539.

It is an arithmetic number, because the mean of its divisors is an integer number (3980975856).

Almost surely, 2142214412240 is an apocalyptic number.

142214412240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142214412240 is an abundant number, since it is smaller than the sum of its proper divisors (335502690480).

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

142214412240 is a wasteful number, since it uses less digits than its factorization.

142214412240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47041 (or 47032 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 142214412240 its reverse (42214412241), we get a palindrome (184428824481).

Subtracting from 142214412240 its reverse (42214412241), we obtain a palindrome (99999999999).

The spelling of 142214412240 in words is "one hundred forty-two billion, two hundred fourteen million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 4663 9326 13989 18652 23315 27978 37304 41967 42359 46630 55956 69945 74608 83934 84718 93260 111912 127077 139890 167868 169436 186520 209835 211795 223824 254154 279780 335736 338872 373040 381231 419670 423590 508308 559560 635385 671472 677744 762462 839340 847180 1016616 1119120 1270770 1524924 1678680 1694360 1906155 2033232 2541540 3049848 3357360 3388720 3812310 5083080 6099696 7624620 10166160 15249240 30498480 197520017 395040034 592560051 790080068 987600085 1185120102 1580160136 1777680153 1975200170 2370240204 2962800255 3160320272 3555360306 3950400340 4740480408 5925600510 7110720612 7900800680 8888400765 9480960816 11851201020 14221441224 15801601360 17776801530 23702402040 28442882448 35553603060 47404804080 71107206120 142214412240