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1044433413330 = 2353137122924697
BaseRepresentation
bin11110011001011010001…
…01010010010011010010
310200211212100201200202020
433030231011102103102
5114102444423211310
62115450040432310
7135313014351066
oct17145505222322
93624770650666
101044433413330
11372a3a484a9a
1214a502778696
13776499ac8a8
143879d749aa6
151c27c587170
hexf32d1524d2

1044433413330 has 128 divisors (see below), whose sum is σ = 2659701934080. Its totient is φ = 262022584320.

The previous prime is 1044433413281. The next prime is 1044433413341. The reversal of 1044433413330 is 333143344401.

It is a junction number, because it is equal to n+sod(n) for n = 1044433413291 and 1044433413300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42277542 + ... + 42302238.

It is an arithmetic number, because the mean of its divisors is an integer number (20778921360).

Almost surely, 21044433413330 is an apocalyptic number.

1044433413330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1044433413330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329850967040).

1044433413330 is an abundant number, since it is smaller than the sum of its proper divisors (1615268520750).

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

1044433413330 is a wasteful number, since it uses less digits than its factorization.

1044433413330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26004.

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 1044433413330 its reverse (333143344401), we get a palindrome (1377576757731).

The spelling of 1044433413330 in words is "one trillion, forty-four billion, four hundred thirty-three million, four hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 37 62 74 93 111 155 185 186 222 310 370 465 555 930 1110 1147 1229 2294 2458 3441 3687 5735 6145 6882 7374 11470 12290 17205 18435 24697 34410 36870 38099 45473 49394 74091 76198 90946 114297 123485 136419 148182 190495 227365 228594 246970 272838 370455 380990 454730 571485 682095 740910 765607 913789 1142970 1364190 1409663 1531214 1827578 2296821 2741367 2819326 3828035 4228989 4568945 4593642 5482734 7048315 7656070 8457978 9137890 11484105 13706835 14096630 21144945 22968210 27413670 28327459 30352613 42289890 56654918 60705226 84982377 91057839 141637295 151763065 169964754 182115678 283274590 303526130 424911885 455289195 849823770 910578390 940931003 1123046681 1881862006 2246093362 2822793009 3369140043 4704655015 5615233405 5645586018 6738280086 9409310030 11230466810 14113965045 16845700215 28227930090 33691400430 34814447111 69628894222 104443341333 174072235555 208886682666 348144471110 522216706665 1044433413330