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11443434400 = 2552177910651
BaseRepresentation
bin10101010100001010…
…01111001110100000
31002112111211200212201
422222011033032200
5141414004400100
65131304302544
7553402405336
oct125205171640
932474750781
1011443434400
11494257a702
122274471a54
131104a65a78
147a7b3db56
1546e98236a
hex2aa14f3a0

11443434400 has 144 divisors (see below), whose sum is σ = 29956832640. Its totient is φ = 4253184000.

The previous prime is 11443434371. The next prime is 11443434413. The reversal of 11443434400 is 443434411.

It is a happy 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, 1069075 + ... + 1079725.

It is an arithmetic number, because the mean of its divisors is an integer number (208033560).

Almost surely, 211443434400 is an apocalyptic number.

11443434400 is a gapful number since it is divisible by the number (10) 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 11443434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14978416320).

11443434400 is an abundant number, since it is smaller than the sum of its proper divisors (18513398240).

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

11443434400 is a wasteful number, since it uses less digits than its factorization.

11443434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10767 (or 10754 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 11443434400 its reverse (443434411), we get a palindrome (11886868811).

The spelling of 11443434400 in words is "eleven billion, four hundred forty-three million, four hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 79 80 85 100 136 158 160 170 200 272 316 340 395 400 425 544 632 680 790 800 850 1264 1343 1360 1580 1700 1975 2528 2686 2720 3160 3400 3950 5372 6320 6715 6800 7900 10651 10744 12640 13430 13600 15800 21302 21488 26860 31600 33575 42604 42976 53255 53720 63200 67150 85208 106510 107440 134300 170416 181067 213020 214880 266275 268600 340832 362134 426040 532550 537200 724268 841429 852080 905335 1065100 1074400 1448536 1682858 1704160 1810670 2130200 2897072 3365716 3621340 4207145 4260400 4526675 5794144 6731432 7242680 8414290 8520800 9053350 13462864 14304293 14485360 16828580 18106700 21035725 26925728 28608586 28970720 33657160 36213400 42071450 57217172 67314320 71521465 72426800 84142900 114434344 134628640 143042930 144853600 168285800 228868688 286085860 336571600 357607325 457737376 572171720 673143200 715214650 1144343440 1430429300 2288686880 2860858600 5721717200 11443434400