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404304101214 = 231310721672711
BaseRepresentation
bin1011110001000100110…
…01101111111101011110
31102122120122111100212220
411320202121233331132
523111003322214324
6505422412010210
741132014105026
oct5704231577536
91378518440786
10404304101214
11146512141342
1266434760966
132c1832654b0
14157d5a76a86
15a7b46dcb79
hex5e2266ff5e

404304101214 has 96 divisors (see below), whose sum is σ = 884613090816. Its totient is φ = 122455490880.

The previous prime is 404304101197. The next prime is 404304101221. The reversal of 404304101214 is 412101403404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149133319 + ... + 149136029.

It is an arithmetic number, because the mean of its divisors is an integer number (9214719696).

Almost surely, 2404304101214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404304101214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442306545408).

404304101214 is an abundant number, since it is smaller than the sum of its proper divisors (480308989602).

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

404304101214 is a wasteful number, since it uses less digits than its factorization.

404304101214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3110 (or 3003 counting only the distinct ones).

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

Adding to 404304101214 its reverse (412101403404), we get a palindrome (816405504618).

The spelling of 404304101214 in words is "four hundred four billion, three hundred four million, one hundred one thousand, two hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 107 167 214 321 334 501 642 1002 1391 2171 2711 2782 4173 4342 5422 6513 8133 8346 11449 13026 16266 17869 22898 34347 35243 35738 53607 68694 70486 105729 107214 148837 211458 232297 290077 297674 446511 452737 464594 580154 696891 870231 893022 905474 1358211 1393782 1740462 1911983 2716422 3771001 3823966 5735949 5885581 7542002 11313003 11471898 11771162 17656743 22626006 24855779 31038239 35313486 48442859 49711558 62076478 74567337 93114717 96885718 145328577 149134674 186229434 290657154 403497107 629757167 806994214 1210491321 1259514334 1889271501 2420982642 3778543002 5183385913 10366771826 15550157739 31100315478 67384016869 134768033738 202152050607 404304101214