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11403441400 = 2352132328291
BaseRepresentation
bin10101001111011001…
…01011010011111000
31002102201120211210111
422213230223103320
5141323240111100
65123315154104
7552405436561
oct124754532370
932381524714
1011403441400
114921a4433a
122262ba5934
1310c96a2480
147a26cd168
1546b1d26ba
hex2a7b2b4f8

11403441400 has 144 divisors (see below), whose sum is σ = 29851448760. Its totient is φ = 4026950400.

The previous prime is 11403441389. The next prime is 11403441487. The reversal of 11403441400 is 414430411.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 1371255 + ... + 1379545.

Almost surely, 211403441400 is an apocalyptic number.

11403441400 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 11403441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14925724380).

11403441400 is an abundant number, since it is smaller than the sum of its proper divisors (18448007360).

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

11403441400 is a wasteful number, since it uses less digits than its factorization.

11403441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8366 (or 8334 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 11403441400 its reverse (414430411), we get a palindrome (11817871811).

The spelling of 11403441400 in words is "eleven billion, four hundred three million, four hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 23 25 26 40 46 50 52 65 92 100 104 115 130 184 200 230 260 299 325 460 520 529 575 598 650 920 1058 1150 1196 1300 1495 2116 2300 2392 2600 2645 2990 4232 4600 5290 5980 6877 7475 8291 10580 11960 13225 13754 14950 16582 21160 26450 27508 29900 33164 34385 41455 52900 55016 59800 66328 68770 82910 105800 107783 137540 165820 171925 190693 207275 215566 275080 331640 343850 381386 414550 431132 538915 687700 762772 829100 862264 953465 1077830 1375400 1525544 1658200 1906930 2155660 2479009 2694575 3813860 4311320 4385939 4767325 4958018 5389150 7627720 8771878 9534650 9916036 10778300 12395045 17543756 19069300 19832072 21556600 21929695 24790090 35087512 38138600 43859390 49580180 57017207 61975225 87718780 99160360 109648475 114034414 123950450 175437560 219296950 228068828 247900900 285086035 438593900 456137656 495801800 570172070 877187800 1140344140 1425430175 2280688280 2850860350 5701720700 11403441400