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404403220011 = 372411313531451
BaseRepresentation
bin1011110001010000100…
…11110110111000101011
31102122211120000010022110
411320220103312320223
523111204211020021
6505440312253403
741134326440100
oct5705023667053
91378746003273
10404403220011
111465630907aa
12664619a1263
132c19a95ab7b
1415804cb8aa7
15a7bd26b476
hex5e284f6e2b

404403220011 has 96 divisors (see below), whose sum is σ = 649722560256. Its totient is φ = 222942720000.

The previous prime is 404403220007. The next prime is 404403220037. The reversal of 404403220011 is 110022304404.

It is not a de Polignac number, because 404403220011 - 22 = 404403220007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 404403220011.

It is not an unprimeable number, because it can be changed into a prime (404403221011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 278705836 + ... + 278707286.

It is an arithmetic number, because the mean of its divisors is an integer number (6767943336).

Almost surely, 2404403220011 is an apocalyptic number.

404403220011 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

404403220011 is a deficient number, since it is larger than the sum of its proper divisors (245319340245).

404403220011 is a wasteful number, since it uses less digits than its factorization.

404403220011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 404403220011 its reverse (110022304404), we get a palindrome (514425524415).

The spelling of 404403220011 in words is "four hundred four billion, four hundred three million, two hundred twenty thousand, eleven".

Divisors: 1 3 7 21 41 49 123 131 147 287 353 393 861 917 1059 1451 2009 2471 2751 4353 5371 6027 6419 7413 10157 14473 16113 17297 19257 30471 37597 43419 46243 51891 59491 71099 101311 112791 138729 178473 190081 213297 263179 303933 323701 416437 512203 570243 709177 789537 971103 1249311 1330567 1536609 1895963 2127531 2265907 2915059 3585421 3991701 5687889 6797721 7793321 8745177 9313969 10756263 13271741 21000323 23379963 25097947 27941907 39815223 54553247 63000969 67098593 75293841 92902187 147002261 163659741 201295779 278706561 381872729 441006783 469690151 1029015827 1145618187 1409070453 2751042313 3087047481 3287831057 8253126939 9863493171 19257296191 57771888573 134801073337 404403220011