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214411117223625 = 3537312714397073
BaseRepresentation
bin110000110000000101111010…
…011110100101111011001001
31001010011111120102010212010220
4300300011322132211323021
5211100402432002124000
62040003035113300253
763106456235511030
oct6060057236457311
91033144512125126
10214411117223625
1162355275a93a53
122006a389404689
139283b5cb3ca9a
143ad37a691b717
1519bc4d287d1a0
hexc3017a7a5ec9

214411117223625 has 128 divisors (see below), whose sum is σ = 420921710936064. Its totient is φ = 94850216064000.

The previous prime is 214411117223603. The next prime is 214411117223729. The reversal of 214411117223625 is 526322711114412.

214411117223625 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 214411117223625 - 214 = 214411117207241 is a prime.

It is a super-2 number, since 2×2144111172236252 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2208713089 + ... + 2208810161.

It is an arithmetic number, because the mean of its divisors is an integer number (3288450866688).

Almost surely, 2214411117223625 is an apocalyptic number.

214411117223625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

214411117223625 is a deficient number, since it is larger than the sum of its proper divisors (206510593712439).

214411117223625 is a wasteful number, since it uses less digits than its factorization.

214411117223625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124272 (or 124262 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The spelling of 214411117223625 in words is "two hundred fourteen trillion, four hundred eleven billion, one hundred seventeen million, two hundred twenty-three thousand, six hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 31 35 75 93 105 125 155 175 217 375 465 525 651 775 875 1085 2325 2625 3255 3875 5425 11625 16275 27125 27143 81375 81429 97073 135715 190001 291219 407145 485365 570003 678575 679511 841433 950005 1456095 2035725 2038533 2426825 2524299 2850015 3009263 3392875 3397555 4207165 4750025 5890031 7280475 9027789 10178625 10192665 12134125 12621495 14250075 15046315 16987775 17670093 21035825 21064841 23750125 29450155 36402375 45138945 50963325 63107475 63194523 71250375 75231575 84938875 88350465 105179125 105324205 147250775 225694725 254816625 315537375 315972615 376157875 441752325 526621025 736253875 1128473625 1579863075 2208761625 2633105125 2634852439 7899315375 7904557317 13174262195 18443967073 39522786585 55331901219 65871310975 81680425609 92219835365 197613932925 245041276827 276659506095 329356554875 408402128045 461099176825 571762979263 988069664625 1225206384135 1383297530475 1715288937789 2042010640225 2305495884125 2858814896315 6126031920675 6916487652375 8576444688945 10210053201125 14294074481575 30630159603375 42882223444725 71470372407875 214411117223625