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1004403224412 = 223273220336923
BaseRepresentation
bin11101001110110110001…
…10001110111101011100
310120000112120212101211200
432213123012032331130
5112424004211140122
62045225542515500
7132365022354000
oct16473306167534
93500476771750
101004403224412
11357a68487635
121427b0735b90
137393a5ba383
1436883160700
151b1d80da5ac
hexe9db18ef5c

1004403224412 has 144 divisors (see below), whose sum is σ = 2962250054400. Its totient is φ = 286834316832.

The previous prime is 1004403224411. The next prime is 1004403224467. The reversal of 1004403224412 is 2144223044001.

1004403224412 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 403 + 2 + 244 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004403224411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27184183 + ... + 27221105.

Almost surely, 21004403224412 is an apocalyptic number.

1004403224412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004403224412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481125027200).

1004403224412 is an abundant number, since it is smaller than the sum of its proper divisors (1957846829988).

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

1004403224412 is a wasteful number, since it uses less digits than its factorization.

1004403224412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39157 (or 39138 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1004403224412 its reverse (2144223044001), we get a palindrome (3148626268413).

The spelling of 1004403224412 in words is "one trillion, four billion, four hundred three million, two hundred twenty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 2203 3087 4116 4406 6174 6609 8812 12348 13218 15421 19827 26436 30842 36923 39654 46263 61684 73846 79308 92526 107947 110769 138789 147692 185052 215894 221538 258461 277578 323841 332307 431788 443076 516922 555156 647682 664614 755629 775383 971523 1033844 1295364 1329228 1511258 1550766 1809227 1943046 2266887 2326149 3022516 3101532 3618454 3886092 4533774 4652298 5427681 6800661 7236908 9067548 9304596 10855362 12664589 13601322 16283043 21710724 25329178 27202644 32566086 37993767 50658356 65132172 75987534 81341369 113981301 151975068 162682738 227962602 244024107 325365476 455925204 488048214 569389583 732072321 976096428 1138779166 1464144642 1708168749 2277558332 2928289284 3416337498 3985727081 5124506247 6832674996 7971454162 10249012494 11957181243 15942908324 20498024988 23914362486 27900089567 35871543729 47828724972 55800179134 71743087458 83700268701 111600358268 143486174916 167400537402 251100806103 334801074804 502201612206 1004403224412