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214313332224656 = 24737411891255591
BaseRepresentation
bin110000101110101010110110…
…000010011011001010010000
31001002211011011121102020002102
4300232222312002123022100
5211042302201022142111
62035450104033335532
763066425105650340
oct6056526602331220
91032734147366072
10214313332224656
11623178569a3a15
12200534394075a8
1392778781b4952
143accb6bb20d20
1519b9bacd2513b
hexc2eab609b290

214313332224656 has 80 divisors (see below), whose sum is σ = 487388872139520. Its totient is φ = 89363936309760.

The previous prime is 214313332224653. The next prime is 214313332224689. The reversal of 214313332224656 is 656422233313412.

It is a self number, because there is not a number n which added to its sum of digits gives 214313332224656.

It is not an unprimeable number, because it can be changed into a prime (214313332224653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170059421 + ... + 171315011.

It is an arithmetic number, because the mean of its divisors is an integer number (6092360901744).

Almost surely, 2214313332224656 is an apocalyptic number.

It is an amenable number.

214313332224656 is an abundant number, since it is smaller than the sum of its proper divisors (273075539914864).

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

214313332224656 is a wasteful number, since it uses less digits than its factorization.

214313332224656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296832 (or 1296826 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 47.

The spelling of 214313332224656 in words is "two hundred fourteen trillion, three hundred thirteen billion, three hundred thirty-two million, two hundred twenty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 1036 2072 4144 41189 82378 164756 288323 329512 576646 659024 1153292 1255591 1523993 2306584 2511182 3047986 4613168 5022364 6095972 8789137 10044728 10667951 12191944 17578274 20089456 21335902 24383888 35156548 42671804 46456867 70313096 85343608 92913734 140626192 170687216 185827468 325198069 371654936 650396138 743309872 1300792276 2601584552 5203169104 51716537699 103433075398 206866150796 362015763893 413732301592 724031527786 827464603184 1448063055572 1913511894863 2896126111144 3827023789726 5792252222288 7654047579452 13394583264041 15308095158904 26789166528082 30616190317808 53578333056164 107156666112328 214313332224656