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214020023024332 = 22747618831301897
BaseRepresentation
bin110000101010011001101011…
…011100100111101011001100
31001001210010002101102001000201
4300222121223130213223030
5211023001001343234312
62035103235151303244
763036302453615410
oct6052315334475314
91031703071361021
10214020023024332
1162214422563528
122000662081ab24
1392560035bc605
143abc8a544cd40
1519b2242c55557
hexc2a66b727acc

214020023024332 has 96 divisors (see below), whose sum is σ = 444365414793216. Its totient is φ = 88289364441600.

The previous prime is 214020023024323. The next prime is 214020023024333. The reversal of 214020023024332 is 233420320020412.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 214020023024332.

It is not an unprimeable number, because it can be changed into a prime (214020023024333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708766408 + ... + 709068304.

It is an arithmetic number, because the mean of its divisors is an integer number (4628806404096).

Almost surely, 2214020023024332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214020023024332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222182707396608).

214020023024332 is an abundant number, since it is smaller than the sum of its proper divisors (230345391768884).

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

214020023024332 is a wasteful number, since it uses less digits than its factorization.

214020023024332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310847 (or 310845 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 214020023024332 its reverse (233420320020412), we get a palindrome (447440343044744).

The spelling of 214020023024332 in words is "two hundred fourteen trillion, twenty billion, twenty-three million, twenty-four thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 47 61 94 122 188 244 329 427 658 854 1316 1708 2867 5734 8831 11468 17662 20069 35324 40138 61817 80276 123634 247268 301897 415057 538691 603794 830114 1077382 1207588 1660228 2113279 2154764 2905399 3770837 4226558 5810798 7541674 8453116 11621596 14189159 15083348 18415717 25318477 28378318 36831434 50636954 56756636 73662868 99324113 101273908 128910019 177229339 198648226 257820038 354458678 397296452 515640076 708917356 865538699 1731077398 2666052407 3462154796 5332104814 6058770893 10664209628 12117541786 18662366849 24235083572 37324733698 74649467396 125304463129 162629196827 250608926258 325258393654 501217852516 650516787308 877131241903 1138404377789 1754262483806 2276808755578 3508524967612 4553617511156 7643572250869 15287144501738 30574289003476 53505005756083 107010011512166 214020023024332