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32414233396244 = 22743199162183459
BaseRepresentation
bin1110101111011000001101…
…10111100000010000010100
311020202202210122202102110212
413113230012313200100110
513222033322222134434
6152534520535304552
76553564630563320
oct727540667402024
9136682718672425
1032414233396244
11a367887795527
12377611921b158
13151185909b8bb
14800c004ac980
153b327e0378ce
hex1d7b06de0414

32414233396244 has 96 divisors (see below), whose sum is σ = 66711380736000. Its totient is φ = 13492073992320.

The previous prime is 32414233396187. The next prime is 32414233396267. The reversal of 32414233396244 is 44269333241423.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 32414233396192 and 32414233396201.

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, 388343387 + ... + 388426845.

It is an arithmetic number, because the mean of its divisors is an integer number (694910216000).

Almost surely, 232414233396244 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 32414233396244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33355690368000).

32414233396244 is an abundant number, since it is smaller than the sum of its proper divisors (34297147339756).

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

32414233396244 is a wasteful number, since it uses less digits than its factorization.

32414233396244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85333 (or 85331 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 50.

The spelling of 32414233396244 in words is "thirty-two trillion, four hundred fourteen billion, two hundred thirty-three million, three hundred ninety-six thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 43 86 172 199 301 398 602 796 1204 1393 1621 2786 3242 5572 6484 8557 11347 17114 22694 34228 45388 59899 69703 83459 119798 139406 166918 239596 278812 322579 333836 487921 584213 645158 975842 1168426 1290316 1951684 2258053 2336852 3588737 4516106 7177474 9032212 13870897 14354948 16608341 25121159 27741794 33216682 50242318 55483588 66433364 97096279 100484636 116258387 135287039 194192558 232516774 270574078 388385116 465033548 541148156 714158663 947009273 1428317326 1894018546 2856634652 3788037092 4999110641 5817342677 9998221282 11634685354 19996442564 23269370708 26922120761 40721398739 53844241522 81442797478 107688483044 162885594956 188454845327 376909690654 753819381308 1157651192723 2315302385446 4630604770892 8103558349061 16207116698122 32414233396244