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1214404010 = 251723741277
BaseRepresentation
bin100100001100010…
…0101010110101010
310010122010010010022
41020120211112222
54441341412020
6320300520442
742044156321
oct11030452652
93118103108
101214404010
11573554786
1229a850122
13164798771
14b73dd0b8
1571933625
hex486255aa

1214404010 has 96 divisors (see below), whose sum is σ = 2451819888. Its totient is φ = 432414720.

The previous prime is 1214404007. The next prime is 1214404063. The reversal of 1214404010 is 104044121.

It can be written as a sum of positive squares in 24 ways, for example, as 90601 + 1214313409 = 301^2 + 34847^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 1214404010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4383992 + ... + 4384268.

Almost surely, 21214404010 is an apocalyptic number.

1214404010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1214404010 is an abundant number, since it is smaller than the sum of its proper divisors (1237415878).

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

1214404010 is a wasteful number, since it uses less digits than its factorization.

1214404010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1214404010 is about 34848.2999585346. The cubic root of 1214404010 is about 1066.8934876801.

Adding to 1214404010 its reverse (104044121), we get a palindrome (1318448131).

It can be divided in two parts, 1214 and 404010, that added together give a cube (405224 = 743).

The spelling of 1214404010 in words is "one billion, two hundred fourteen million, four hundred four thousand, ten".

Divisors: 1 2 5 10 17 34 37 41 74 82 85 170 185 205 277 289 370 410 554 578 629 697 1258 1385 1394 1445 1517 2770 2890 3034 3145 3485 4709 6290 6970 7585 9418 10249 10693 11357 11849 15170 20498 21386 22714 23545 23698 25789 47090 51245 51578 53465 56785 59245 80053 102490 106930 113570 118490 128945 160106 174233 193069 257890 348466 386138 400265 420209 438413 800530 840418 871165 876826 965345 1742330 1930690 2101045 2192065 2961961 3282173 4202090 4384130 5923922 6564346 7143553 14287106 14809805 16410865 29619610 32821730 35717765 71435530 121440401 242880802 607202005 1214404010