Search a number
-
+
210440013421232 = 247171396911150717
BaseRepresentation
bin101111110110010011100010…
…001111110001101010110000
31000121002212110100202002100202
4233312103202033301222300
5210040322121413434412
62023322450233134332
762216534465232650
oct5766234217615260
91017085410662322
10210440013421232
1161064121464331
121b72882685a3a8
13905653c826b3a
1439d74cb1b8360
15194e0636643c2
hexbf64e23f1ab0

210440013421232 has 160 divisors (see below), whose sum is σ = 497653683125760. Its totient is φ = 84150664335360.

The previous prime is 210440013421201. The next prime is 210440013421237. The reversal of 210440013421232 is 232124310044012.

It is a junction number, because it is equal to n+sod(n) for n = 210440013421195 and 210440013421204.

It is not an unprimeable number, because it can be changed into a prime (210440013421237) 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, 182301938 + ... + 183452654.

It is an arithmetic number, because the mean of its divisors is an integer number (3110335519536).

Almost surely, 2210440013421232 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 210440013421232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248826841562880).

210440013421232 is an abundant number, since it is smaller than the sum of its proper divisors (287213669704528).

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

210440013421232 is a wasteful number, since it uses less digits than its factorization.

210440013421232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151579 (or 1151573 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 210440013421232 its reverse (232124310044012), we get a palindrome (442564323465244).

The spelling of 210440013421232 in words is "two hundred ten trillion, four hundred forty billion, thirteen million, four hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 139 238 272 278 476 556 691 952 973 1112 1382 1904 1946 2224 2363 2764 3892 4726 4837 5528 7784 9452 9674 11056 11747 15568 16541 18904 19348 23494 33082 37808 38696 46988 66164 77392 82229 93976 96049 132328 164458 187952 192098 264656 328916 384196 657832 672343 768392 1150717 1315664 1344686 1536784 1632833 2301434 2689372 3265666 4602868 5378744 6531332 8055019 9205736 10757488 11429831 13062664 16110038 18411472 19562189 22859662 26125328 32220076 39124378 45719324 64440152 78248756 91438648 128880304 136935323 156497512 159949663 182877296 273870646 312995024 319899326 547741292 639798652 795145447 1095482584 1119647641 1279597304 1590290894 2190965168 2239295282 2559194608 2719144271 3180581788 4478590564 5438288542 5566018129 6361163576 8957181128 10876577084 11132036258 12722327152 13517472599 17914362256 19034009897 21753154168 22264072516 27034945198 38068019794 43506308336 44528145032 54069890396 76136039588 89056290064 94622308193 108139780792 110525217133 152272079176 189244616386 216279561584 221050434266 304544158352 378489232772 442100868532 756978465544 773676519931 884201737064 1513956931088 1547353039862 1768403474128 1878928691261 3094706079724 3757857382522 6189412159448 7515714765044 12378824318896 13152500838827 15031429530088 26305001677654 30062859060176 52610003355308 105220006710616 210440013421232