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4214006775 = 345211375113
BaseRepresentation
bin1111101100101100…
…1010001111110111
3101212200101201120000
43323023022033313
532112241204100
61534052442343
7206266316016
oct37313121767
911780351500
104214006775
111872773730
129973193b3
13522071244
142bd940a7d
15199e49900
hexfb2ca3f7

4214006775 has 120 divisors (see below), whose sum is σ = 8747271984. Its totient is φ = 1987545600.

The previous prime is 4214006759. The next prime is 4214006777. The reversal of 4214006775 is 5776004124.

It is not a de Polignac number, because 4214006775 - 24 = 4214006759 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214006777) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 821619 + ... + 826731.

Almost surely, 24214006775 is an apocalyptic number.

4214006775 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4214006775 is an abundant number, since it is smaller than the sum of its proper divisors (4533265209).

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

4214006775 is a wasteful number, since it uses less digits than its factorization.

4214006775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5183 (or 5169 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 4214006775 is about 64915.3816518088. The cubic root of 4214006775 is about 1615.2202219284.

The spelling of 4214006775 in words is "four billion, two hundred fourteen million, six thousand, seven hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 27 33 37 45 55 75 81 99 111 135 165 185 225 275 297 333 405 407 495 555 675 825 891 925 999 1221 1485 1665 2025 2035 2475 2775 2997 3663 4455 4995 5113 6105 7425 8325 10175 10989 14985 15339 18315 22275 24975 25565 30525 32967 46017 54945 56243 74925 76695 91575 127825 138051 164835 168729 189181 230085 274725 281215 383475 414153 506187 567543 690255 824175 843645 945905 1150425 1406075 1518561 1702629 2070765 2080991 2530935 2837715 3451275 4218225 4555683 4729525 5107887 6242973 7592805 8513145 10353825 10404955 12654675 14188575 15323661 18728919 22778415 25539435 31214865 37964025 42565725 52024775 56186757 76618305 93644595 113892075 127697175 156074325 168560271 280933785 383091525 468222975 842801355 1404668925 4214006775