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414042310212 = 223414678272179
BaseRepresentation
bin1100000011001101101…
…10000100011001000100
31110120201022122122021020
412001212312010121010
523240424312411322
6514113003351140
741625232365636
oct6014666043104
91416638578236
10414042310212
1114a65a0a9953
12682b1b224b0
133007594243b
141607b130a56
15ab845d805c
hex6066d84644

414042310212 has 96 divisors (see below), whose sum is σ = 993436254720. Its totient is φ = 134135527680.

The previous prime is 414042310211. The next prime is 414042310223. The reversal of 414042310212 is 212013240414.

It is not an unprimeable number, because it can be changed into a prime (414042310211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190013739 + ... + 190015917.

It is an arithmetic number, because the mean of its divisors is an integer number (10348294320).

Almost surely, 2414042310212 is an apocalyptic number.

It is an amenable number.

414042310212 is an abundant number, since it is smaller than the sum of its proper divisors (579393944508).

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

414042310212 is a wasteful number, since it uses less digits than its factorization.

414042310212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 414042310212 its reverse (212013240414), we get a palindrome (626055550626).

The spelling of 414042310212 in words is "four hundred fourteen billion, forty-two million, three hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 467 492 827 934 1401 1654 1868 2179 2481 2802 3308 4358 4962 5604 6537 8716 9924 13074 19147 26148 33907 38294 57441 67814 76588 89339 101721 114882 135628 178678 203442 229764 268017 357356 386209 406884 536034 772418 1017593 1072068 1158627 1544836 1802033 2035186 2317254 3052779 3604066 4070372 4634508 5406099 6105558 7208132 10812198 12211116 15834569 21624396 31669138 41721313 47503707 63338276 73883353 83442626 95007414 125163939 147766706 166885252 190014828 221650059 250327878 295533412 443300118 500655756 841549411 886600236 1683098822 2524648233 3366197644 5049296466 10098592932 34503525851 69007051702 103510577553 138014103404 207021155106 414042310212