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21406632314544 = 2433199249006983
BaseRepresentation
bin1001101111000000111101…
…01101110000011010110000
32210210110021000022210022000
410313200132231300122300
510301211240333031134
6113310023210214000
74336402206304641
oct467403655603260
983713230283260
1021406632314544
116903557965414
1224988b9a24300
13bc3837c87889
1454012d6316c8
15271c803d0e99
hex13781eb706b0

21406632314544 has 80 divisors (see below), whose sum is σ = 61753732032000. Its totient is φ = 7099687070784.

The previous prime is 21406632314531. The next prime is 21406632314563. The reversal of 21406632314544 is 44541323660412.

21406632314544 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 6 + 632 + 3 + 1 + 4 + 5 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21406632314544.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124417524 + ... + 124589459.

It is an arithmetic number, because the mean of its divisors is an integer number (771921650400).

Almost surely, 221406632314544 is an apocalyptic number.

21406632314544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21406632314544 is an abundant number, since it is smaller than the sum of its proper divisors (40347099717456).

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

21406632314544 is a wasteful number, since it uses less digits than its factorization.

21406632314544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249007199 (or 249007187 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

Adding to 21406632314544 its reverse (44541323660412), we get a palindrome (65947955974956).

The spelling of 21406632314544 in words is "twenty-one trillion, four hundred six billion, six hundred thirty-two million, three hundred fourteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 199 216 398 432 597 796 1194 1592 1791 2388 3184 3582 4776 5373 7164 9552 10746 14328 21492 28656 42984 85968 249006983 498013966 747020949 996027932 1494041898 1992055864 2241062847 2988083796 3984111728 4482125694 5976167592 6723188541 8964251388 11952335184 13446377082 17928502776 26892754164 35857005552 49552389617 53785508328 99104779234 107571016656 148657168851 198209558468 297314337702 396419116936 445971506553 594628675404 792838233872 891943013106 1189257350808 1337914519659 1783886026212 2378514701616 2675829039318 3567772052424 5351658078636 7135544104848 10703316157272 21406632314544