Search a number
-
+
406228012281 = 327132195337889
BaseRepresentation
bin1011110100101010001…
…00111000110011111001
31102211112201200011201100
411322111010320303321
523123423332343111
6510341340042013
741230465063140
oct5722504706371
91384481604640
10406228012281
1114730a139193
1266890b33309
132c3cba1b700
14159393a6757
15a878570756
hex5e95138cf9

406228012281 has 144 divisors (see below), whose sum is σ = 778812278400. Its totient is φ = 199161151488.

The previous prime is 406228012277. The next prime is 406228012303. The reversal of 406228012281 is 182210822604.

406228012281 is a `hidden beast` number, since 4 + 0 + 622 + 8 + 0 + 1 + 2 + 28 + 1 = 666.

It is not a de Polignac number, because 406228012281 - 22 = 406228012277 is a prime.

It is a super-2 number, since 2×4062280122812 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (406228012241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10702585 + ... + 10740473.

It is an arithmetic number, because the mean of its divisors is an integer number (5408418600).

Almost surely, 2406228012281 is an apocalyptic number.

It is an amenable number.

406228012281 is a deficient number, since it is larger than the sum of its proper divisors (372584266119).

406228012281 is a wasteful number, since it uses less digits than its factorization.

406228012281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38000 (or 37984 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

Adding to 406228012281 its reverse (182210822604), we get a palindrome (588438834885).

The spelling of 406228012281 in words is "four hundred six billion, two hundred twenty-eight million, twelve thousand, two hundred eighty-one".

Divisors: 1 3 7 9 13 19 21 39 53 57 63 91 117 133 159 169 171 247 273 371 399 477 507 689 741 819 1007 1113 1183 1197 1521 1729 2067 2223 3021 3211 3339 3549 4823 5187 6201 7049 8957 9063 9633 10647 13091 14469 15561 21147 22477 26871 28899 37889 39273 43407 62699 63441 67431 80613 91637 113667 117819 170183 188097 202293 265223 274911 341001 492557 510549 564291 719891 795669 824733 1191281 1477671 1531647 2008117 2159673 2387007 3447899 3573843 4433013 5039237 6024351 6403241 6479019 9358583 10343697 10721529 14056819 15117711 18073053 19209723 26105521 28075749 31031091 38154223 42170457 44822687 45353133 57629169 65510081 78316563 84227247 114462669 121661579 126511371 134468061 182738647 196530243 234949689 267079561 339371773 343388007 364984737 403404183 496004899 548215941 589590729 801238683 851631053 1018115319 1094954211 1488014697 1644647823 2375602411 2403716049 2554893159 3054345957 3472034293 4464044091 6448063687 7126807233 7664679477 10416102879 19344191061 21380421699 31248308637 45136445809 58032573183 135409337427 406228012281