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21420433203114 = 23116161712137109
BaseRepresentation
bin1001101111011010101010…
…10011111101111110101010
32210211202212211010120100010
410313231111103331332222
510301423021344444424
6113320224451152350
74340401206026451
oct467552523757652
983752784116303
1021420433203114
11690939a128250
12249b50b8a56b6
13bc4c27260a2a
14540a7c4b7b98
152722dbcd3229
hex137b554fdfaa

21420433203114 has 128 divisors (see below), whose sum is σ = 47624556476160. Its totient is φ = 6368131123200.

The previous prime is 21420433203109. The next prime is 21420433203131. The reversal of 21420433203114 is 41130233402412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3013139392 + ... + 3013146500.

It is an arithmetic number, because the mean of its divisors is an integer number (372066847470).

Almost surely, 221420433203114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21420433203114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23812278238080).

21420433203114 is an abundant number, since it is smaller than the sum of its proper divisors (26204123273046).

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

21420433203114 is a wasteful number, since it uses less digits than its factorization.

21420433203114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9016.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 21420433203114 its reverse (41130233402412), we get a palindrome (62550666605526).

The spelling of 21420433203114 in words is "twenty-one trillion, four hundred twenty billion, four hundred thirty-three million, two hundred three thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 22 33 61 66 122 183 366 617 671 1213 1234 1342 1851 2013 2426 3639 3702 4026 6787 7109 7278 13343 13574 14218 20361 21327 26686 37637 40029 40722 42654 73993 75274 78199 80058 112911 147986 156398 221979 225822 234597 414007 433649 443958 469194 748421 813923 828014 867298 1242021 1300947 1496842 1627846 2245263 2441769 2484042 2601894 4386253 4490526 4770139 4883538 8232631 8623217 8772506 9540278 13158759 14310417 16465262 17246434 24697893 25869651 26317518 28620834 45653681 48248783 49395786 51739302 91307362 94855387 96497566 136961043 144746349 189710774 267561433 273922086 284566161 289492698 502190491 526016237 535122866 569132322 802684299 1004380982 1052032474 1506571473 1578048711 1605368598 2943175763 3013142946 3156097422 5320524889 5786178607 5886351526 8829527289 10641049778 11572357214 15961574667 17358535821 17659054578 31923149334 34717071642 58525773779 117051547558 175577321337 324552018229 351154642674 649104036458 973656054687 1947312109374 3570072200519 7140144401038 10710216601557 21420433203114