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4212361404 = 223223359163
BaseRepresentation
bin1111101100010011…
…1000100010111100
3101212120022010112100
43323010320202330
532111331031104
61533553305100
7206246324016
oct37304704274
911776263470
104212361404
11187184a519
12996865190
13521916354
142bd6331b6
15199c22139
hexfb1388bc

4212361404 has 144 divisors (see below), whose sum is σ = 11389996800. Its totient is φ = 1312207776.

The previous prime is 4212361393. The next prime is 4212361409. The reversal of 4212361404 is 4041632124.

It is a happy number.

4212361404 is a `hidden beast` number, since 4 + 21 + 23 + 614 + 0 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4212361409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25842627 + ... + 25842789.

It is an arithmetic number, because the mean of its divisors is an integer number (79097200).

Almost surely, 24212361404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4212361404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5694998400).

4212361404 is an abundant number, since it is smaller than the sum of its proper divisors (7177635396).

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

4212361404 is a wasteful number, since it uses less digits than its factorization.

4212361404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4212361404 is about 64902.7072162633. The cubic root of 4212361404 is about 1615.0099721098.

Adding to 4212361404 its reverse (4041632124), we get a palindrome (8253993528).

The spelling of 4212361404 in words is "four billion, two hundred twelve million, three hundred sixty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 59 69 92 118 138 163 177 207 236 276 326 354 414 489 529 531 652 708 828 978 1058 1062 1357 1467 1587 1956 2116 2124 2714 2934 3174 3749 4071 4761 5428 5868 6348 7498 8142 9522 9617 11247 12167 12213 14996 16284 19044 19234 22494 24334 24426 28851 31211 33741 36501 38468 44988 48668 48852 57702 62422 67482 73002 86227 86553 93633 109503 115404 124844 134964 146004 172454 173106 187266 219006 221191 258681 280899 344908 346212 374532 438012 442382 517362 561798 663573 717853 776043 884764 1034724 1123596 1327146 1435706 1552086 1983221 1990719 2153559 2654292 2871412 3104172 3966442 3981438 4307118 5087393 5949663 6460677 7932884 7962876 8614236 10174786 11899326 12921354 15262179 17848989 20349572 23798652 25842708 30524358 35697978 45786537 61048716 71395956 91573074 117010039 183146148 234020078 351030117 468040156 702060234 1053090351 1404120468 2106180702 4212361404