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214412104410 = 235717112953197
BaseRepresentation
bin1100011110101111110…
…1010001001011011010
3202111102202012110001020
43013223331101023122
512003103444320120
6242255523303310
721330221550060
oct3075375211332
9674382173036
10214412104410
1182a28052599
123567a21ab36
13172b0119cca
14a5401d0030
15589d85c640
hex31ebf512da

214412104410 has 128 divisors (see below), whose sum is σ = 623259256320. Its totient is φ = 46083907584.

The previous prime is 214412104399. The next prime is 214412104411. The reversal of 214412104410 is 14401214412.

It is not an unprimeable number, because it can be changed into a prime (214412104411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4003932 + ... + 4057128.

It is an arithmetic number, because the mean of its divisors is an integer number (4869212940).

Almost surely, 2214412104410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214412104410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311629628160).

214412104410 is an abundant number, since it is smaller than the sum of its proper divisors (408847151910).

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

214412104410 is a wasteful number, since it uses less digits than its factorization.

214412104410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54360.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 214412104410 its reverse (14401214412), we get a palindrome (228813318822).

The spelling of 214412104410 in words is "two hundred fourteen billion, four hundred twelve million, one hundred four thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 1129 1190 1785 2258 3387 3570 5645 6774 7903 11290 15806 16935 19193 23709 33870 38386 39515 47418 53197 57579 79030 95965 106394 115158 118545 134351 159591 191930 237090 265985 268702 287895 319182 372379 403053 531970 575790 671755 744758 797955 806106 904349 1117137 1343510 1595910 1808698 1861895 2015265 2234274 2713047 3723790 4030530 4521745 5426094 5585685 6330443 9043490 11171370 12660886 13565235 18991329 27130470 31652215 37982658 60059413 63304430 94956645 120118826 180178239 189913290 300297065 360356478 420415891 600594130 840831782 900891195 1021010021 1261247673 1801782390 2042020042 2102079455 2522495346 3063030063 4204158910 5105050105 6126060126 6306238365 7147070147 10210100210 12612476730 14294140294 15315150315 21441210441 30630300630 35735350735 42882420882 71470701470 107206052205 214412104410