Search a number
-
+
4211332331124 = 22373137182319249
BaseRepresentation
bin111101010010000110111…
…101111011011001110100
3112220121011222202110021010
4331102012331323121310
51022444302034043444
612542354231152220
7613154512120302
oct75220675733164
915817158673233
104211332331124
11138401a347986
12580226815670
13247185b50089
14107b884bd272
157482e2672b9
hex3d486f7b674

4211332331124 has 96 divisors (see below), whose sum is σ = 10039784832000. Its totient is φ = 1373616119808.

The previous prime is 4211332331053. The next prime is 4211332331177.

4211332331124 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4211332331091 and 4211332331100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218772252 + ... + 218791500.

It is an arithmetic number, because the mean of its divisors is an integer number (104581092000).

Almost surely, 24211332331124 is an apocalyptic number.

It is an amenable number.

4211332331124 is an abundant number, since it is smaller than the sum of its proper divisors (5828452500876).

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

4211332331124 is a wasteful number, since it uses less digits than its factorization.

4211332331124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21289 (or 21287 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The spelling of 4211332331124 in words is "four trillion, two hundred eleven billion, three hundred thirty-two million, three hundred thirty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 73 137 146 219 274 292 411 438 548 822 876 1644 1823 3646 5469 7292 10001 10938 19249 20002 21876 30003 38498 40004 57747 60006 76996 115494 120012 133079 230988 249751 266158 399237 499502 532316 749253 798474 999004 1405177 1498506 1596948 2637113 2810354 2997012 4215531 5274226 5620708 7911339 8431062 10548452 15822678 16862124 18231823 31645356 35090927 36463646 54695469 70181854 72927292 105272781 109390938 140363708 192509249 210545562 218781876 385018498 421091124 577527747 770036996 1155055494 2310110988 2561637671 4807456999 5123275342 7684913013 9614913998 10246550684 14422370997 15369826026 19229827996 28844741994 30739652052 57689483988 350944360927 701888721854 1052833082781 1403777443708 2105666165562 4211332331124