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21414134011314 = 231117193132403533
BaseRepresentation
bin1001101111001110111011…
…10110011101010110110010
32210211011121211002110200010
410313213131312131112302
510301322121301330224
6113313303425435350
74340056126546002
oct467473566352662
983734554073603
1021414134011314
116906757425210
12249a25219bb56
13bc44621bacc5
14540641a66002
1527206dc9ae29
hex1379ddd9d5b2

21414134011314 has 128 divisors (see below), whose sum is σ = 53753574481920. Its totient is φ = 5599330329600.

The previous prime is 21414134011243. The next prime is 21414134011327. The reversal of 21414134011314 is 41311043141412.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15540909 + ... + 16862624.

It is an arithmetic number, because the mean of its divisors is an integer number (419949800640).

Almost surely, 221414134011314 is an apocalyptic number.

21414134011314 is an abundant number, since it is smaller than the sum of its proper divisors (32339440470606).

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

21414134011314 is a wasteful number, since it uses less digits than its factorization.

21414134011314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32403616.

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 21414134011314 its reverse (41311043141412), we get a palindrome (62725177152726).

The spelling of 21414134011314 in words is "twenty-one trillion, four hundred fourteen billion, one hundred thirty-four million, eleven thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 17 19 22 31 33 34 38 51 57 62 66 93 102 114 186 187 209 323 341 374 418 527 561 589 627 646 682 969 1023 1054 1122 1178 1254 1581 1767 1938 2046 3162 3534 3553 5797 6479 7106 10013 10659 11594 12958 17391 19437 20026 21318 30039 34782 38874 60078 110143 220286 330429 660858 32403533 64807066 97210599 194421198 356438863 550860061 615667127 712877726 1004509523 1069316589 1101720122 1231334254 1652580183 1847001381 2009019046 2138633178 3013528569 3305160366 3694002762 6027057138 6059460671 6772338397 10466341159 11049604753 12118921342 13544676794 17076661891 18178382013 19085680937 20317015191 20932682318 22099209506 31399023477 33148814259 34153323782 36356764026 38171361874 40634030382 51229985673 57257042811 62798046954 66297628518 102459971346 114514085622 115129752749 187843280801 209942490307 230259505498 324456575929 345389258247 375686561602 419884980614 563529842403 629827470921 648913151858 690778516494 973369727787 1127059684806 1259654941842 1946739455574 3569022335219 7138044670438 10707067005657 21414134011314