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4401234321044 = 22112172953181141
BaseRepresentation
bin100000000001011111000…
…0000100001111010010100
3120120202100120212002002012
41000002332000201322110
51034102211441233134
613205522114003352
7632656455315551
oct100027600417224
916522316762065
104401234321044
11144760a041700
125b0ba4576558
1325c05b086c52
14113041407a28
1579745e1d6ce
hex400be021e94

4401234321044 has 72 divisors (see below), whose sum is σ = 8967096336744. Its totient is φ = 1882232985600.

The previous prime is 4401234321017. The next prime is 4401234321079.

4401234321044 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 718527475600 + 3682706845444 = 847660^2 + 1919038^2 .

It is a super-2 number, since 2×44012343210442 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4401234321044.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24206714 + ... + 24387854.

It is an arithmetic number, because the mean of its divisors is an integer number (124543004677).

Almost surely, 24401234321044 is an apocalyptic number.

4401234321044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4401234321044 is an abundant number, since it is smaller than the sum of its proper divisors (4565862015700).

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

4401234321044 is a wasteful number, since it uses less digits than its factorization.

4401234321044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184137 (or 184124 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The spelling of 4401234321044 in words is "four trillion, four hundred one billion, two hundred thirty-four million, three hundred twenty-one thousand, forty-four".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 374 484 748 2057 2953 4114 5906 8228 11812 32483 50201 64966 100402 129932 181141 200804 357313 362282 552211 714626 724564 1104422 1429252 1992551 2208844 3079397 3985102 6074321 6158794 7970204 12148642 12317588 21918061 24297284 33873367 43836122 67746734 87672244 135493468 372607037 534909373 745214074 1069818746 1490428148 2139637492 5884003103 9093459341 11768006206 18186918682 23536012412 36373837364 64724034133 100028052751 129448068266 200056105502 258896136532 400112211004 1100308580261 2200617160522 4401234321044