Search a number
-
+
214243131244120 = 235112392037306307
BaseRepresentation
bin110000101101101001011101…
…101110111011111001011000
31001002120102222011212220202021
4300231221131232323321120
5211040124413044302440
62035353534042544224
763061361341320526
oct6055513556737130
91032512864786667
10214243131244120
11622a000230a230
1220041907208074
13927106b22b904
143ac95cc54d316
1519b7e4ec6484a
hexc2da5dbbbe58

214243131244120 has 64 divisors (see below), whose sum is σ = 528069795033600. Its totient is φ = 77580624132480.

The previous prime is 214243131244081. The next prime is 214243131244169. The reversal of 214243131244120 is 21442131342412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1018547994 + ... + 1018758313.

It is an arithmetic number, because the mean of its divisors is an integer number (8251090547400).

Almost surely, 2214243131244120 is an apocalyptic number.

214243131244120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214243131244120 is an abundant number, since it is smaller than the sum of its proper divisors (313826663789480).

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

214243131244120 is a wasteful number, since it uses less digits than its factorization.

214243131244120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037306568 (or 2037306564 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 214243131244120 its reverse (21442131342412), we get a palindrome (235685262586532).

The spelling of 214243131244120 in words is "two hundred fourteen trillion, two hundred forty-three billion, one hundred thirty-one million, two hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 239 440 478 956 1195 1912 2390 2629 4780 5258 9560 10516 13145 21032 26290 52580 105160 2037306307 4074612614 8149225228 10186531535 16298450456 20373063070 22410369377 40746126140 44820738754 81492252280 89641477508 112051846885 179282955016 224103693770 448207387540 486916207373 896414775080 973832414746 1947664829492 2434581036865 3895329658984 4869162073730 5356078281103 9738324147460 10712156562206 19476648294920 21424313124412 26780391405515 42848626248824 53560782811030 107121565622060 214243131244120