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214165136521924 = 227217436172
BaseRepresentation
bin110000101100100000110100…
…111000101011101011000100
31001002021222122121001111202121
4300230200310320223223010
5211032340144422200144
62035254034441215324
763052630506162100
oct6054406470535304
91032258577044677
10214165136521924
116226aa19325035
122002a77aa91544
1392668bb69b513
143ac590dc44900
1519b5dd784c384
hexc2c834e2bac4

214165136521924 has 135 divisors (see below), whose sum is σ = 463355495825313. Its totient is φ = 86362054109184.

The previous prime is 214165136521909. The next prime is 214165136521993. The reversal of 214165136521924 is 429125631561412.

The square root of 214165136521924 is 14634382.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 133358844572100 + 80806291949824 = 11548110^2 + 8989232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 59210707764 + ... + 59210711380.

Almost surely, 2214165136521924 is an apocalyptic number.

214165136521924 is the 14634382-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214165136521924

214165136521924 is an abundant number, since it is smaller than the sum of its proper divisors (249190359303389).

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

214165136521924 is an frugal number, since it uses more digits than its factorization.

214165136521924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7320 (or 3643 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 52.

The spelling of 214165136521924 in words is "two hundred fourteen trillion, one hundred sixty-five billion, one hundred thirty-six million, five hundred twenty-one thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 289 476 578 833 1156 1666 2023 3332 3617 4046 4913 7234 8092 9826 14161 14468 19652 25319 28322 34391 50638 56644 61489 68782 83521 101276 122978 137564 167042 177233 240737 245956 334084 354466 430423 481474 584647 708932 860846 962948 1045313 1169294 1721692 2090626 2338588 3012961 4092529 4181252 6025922 7317191 8185058 12051844 13082689 14634382 16370116 17770321 26165378 29268764 35540642 51220337 52330756 71081284 91578823 102440674 124392247 183157646 204881348 222405713 248784494 302095457 366315292 444811426 497568988 604190914 641051761 870745729 889622852 1208381828 1282103522 1556839991 1741491458 2114668199 2564207044 3113679982 3482982916 3780897121 4229336398 6227359964 7561794242 8458672796 10897879937 14802677393 15123588484 21795759874 26466279847 29605354786 43591519748 52932559694 59210709572 64275251057 105865119388 128550502114 185263958929 257101004228 370527917858 449926757399 741055835716 899853514798 1092679267969 1799707029596 2185358535938 3149487301793 4370717071876 6298974603586 7648754875783 12597949207172 15297509751566 30595019503132 53541284130481 107082568260962 214165136521924