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2001404342322 = 2327211271975869
BaseRepresentation
bin11101000111111100111…
…111101011000000110010
321002022222022100211110200
4131013330333223000302
5230242334002423242
64131233224540030
7264411444134400
oct35077477530062
97068868324420
102001404342322
11701877635a80
12283a76321616
131169684a3468
146cc231b2470
15370db42e04c
hex1d1fcfeb032

2001404342322 has 144 divisors (see below), whose sum is σ = 5505030086400. Its totient is φ = 519647244480.

The previous prime is 2001404342317. The next prime is 2001404342341. The reversal of 2001404342322 is 2232434041002.

2001404342322 is a `hidden beast` number, since 20 + 0 + 1 + 404 + 3 + 4 + 232 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26341804 + ... + 26417672.

It is an arithmetic number, because the mean of its divisors is an integer number (38229375600).

Almost surely, 22001404342322 is an apocalyptic number.

2001404342322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001404342322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752515043200).

2001404342322 is an abundant number, since it is smaller than the sum of its proper divisors (3503625744078).

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

2001404342322 is a wasteful number, since it uses less digits than its factorization.

2001404342322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78621 (or 78611 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2001404342322 its reverse (2232434041002), we get a palindrome (4233838383324).

The spelling of 2001404342322 in words is "two trillion, one billion, four hundred four million, three hundred forty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 198 231 294 441 462 539 693 882 1078 1386 1617 2719 3234 4851 5438 8157 9702 16314 19033 24471 29909 38066 48942 57099 59818 75869 89727 114198 133231 151738 171297 179454 209363 227607 266462 269181 342594 399693 418726 455214 531083 538362 628089 682821 799386 834559 1062166 1199079 1256178 1365642 1465541 1593249 1669118 1884267 2398158 2503677 2931082 3186498 3717581 3768534 4396623 4779747 5007354 5841913 7435162 7511031 8793246 9559494 11152743 11683826 13189869 15022062 17525739 22305486 26379738 33458229 35051478 40893391 52577217 66916458 81786782 105154434 122680173 206287811 245360346 368040519 412575622 618863433 736081038 1237726866 1444014677 1856590299 2269165921 2888029354 3713180598 4332044031 4538331842 6807497763 8664088062 10108102739 12996132093 13614995526 15884161447 20216205478 20422493289 25992264186 30324308217 31768322894 40844986578 47652484341 60648616434 90972924651 95304968682 111189130129 142957453023 181945849302 222378260258 285914906046 333567390387 667134780774 1000702171161 2001404342322