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14416814118630 = 23571143114480383
BaseRepresentation
bin1101000111001010110100…
…0101011001011011100110
31220001020022120020001100210
43101302231011121123212
53342201113403244010
650354554252120250
73015403044040440
oct321625505313346
956036276201323
1014416814118630
1146591557a71a0
12174a0a9a66086
13807665c027c1
1437bac5765490
151a0033a02b20
hexd1cad1596e6

14416814118630 has 128 divisors (see below), whose sum is σ = 43238194937856. Its totient is φ = 2988750844800.

The previous prime is 14416814118613. The next prime is 14416814118647. The reversal of 14416814118630 is 3681141861441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14416814118613) and next prime (14416814118647).

It is a super-2 number, since 2×144168141186302 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14416814118630.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6244582 + ... + 8235801.

It is an arithmetic number, because the mean of its divisors is an integer number (337798397952).

Almost surely, 214416814118630 is an apocalyptic number.

14416814118630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14416814118630 is an abundant number, since it is smaller than the sum of its proper divisors (28821380819226).

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

14416814118630 is a wasteful number, since it uses less digits than its factorization.

14416814118630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14480842.

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 14416814118630 in words is "fourteen trillion, four hundred sixteen billion, eight hundred fourteen million, one hundred eighteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 431 462 770 862 1155 1293 2155 2310 2586 3017 4310 4741 6034 6465 9051 9482 12930 14223 15085 18102 23705 28446 30170 33187 45255 47410 66374 71115 90510 99561 142230 165935 199122 331870 497805 995610 14480383 28960766 43441149 72401915 86882298 101362681 144803830 159284213 202725362 217205745 304088043 318568426 434411490 477852639 506813405 608176086 796421065 955705278 1013626810 1114989491 1520440215 1592842130 2229978982 2389263195 3040880430 3344968473 4778526390 5574947455 6241045073 6689936946 11149894910 12482090146 16724842365 18723135219 31205225365 33449684730 37446270438 43687315511 62410450730 68651495803 87374631022 93615676095 131061946533 137302991606 187231352190 205954487409 218436577555 262123893066 343257479015 411908974818 436873155110 480560470621 655309732665 686514958030 961120941242 1029772437045 1310619465330 1441681411863 2059544874090 2402802353105 2883362823726 4805604706210 7208407059315 14416814118630