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11144343400 = 2352233379631
BaseRepresentation
bin10100110000100000…
…10010111101101000
31001202200001022011021
422120100102331220
5140310422442100
65041501542224
7543111233041
oct123020227550
931680038137
1011144343400
1147a9767163
1221b0274974
131087ac5948
1477a1258c8
154535a2a1a
hex298412f68

11144343400 has 96 divisors (see below), whose sum is σ = 26131809600. Its totient is φ = 4419878400.

The previous prime is 11144343389. The next prime is 11144343401. The reversal of 11144343400 is 434344111.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (11144343401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17661085 + ... + 17661715.

It is an arithmetic number, because the mean of its divisors is an integer number (272206350).

Almost surely, 211144343400 is an apocalyptic number.

11144343400 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 11144343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13065904800).

11144343400 is an abundant number, since it is smaller than the sum of its proper divisors (14987466200).

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

11144343400 is a wasteful number, since it uses less digits than its factorization.

11144343400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 11144343400 its reverse (434344111), we get a palindrome (11578687511).

The spelling of 11144343400 in words is "eleven billion, one hundred forty-four million, three hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 233 379 466 631 758 932 1165 1262 1516 1864 1895 2330 2524 3032 3155 3790 4660 5048 5825 6310 7580 9320 9475 11650 12620 15160 15775 18950 23300 25240 31550 37900 46600 63100 75800 88307 126200 147023 176614 239149 294046 353228 441535 478298 588092 706456 735115 883070 956596 1176184 1195745 1470230 1766140 1913192 2207675 2391490 2940460 3532280 3675575 4415350 4782980 5880920 5978725 7351150 8830700 9565960 11957450 14702300 17661400 23914900 29404600 47829800 55721717 111443434 222886868 278608585 445773736 557217170 1114434340 1393042925 2228868680 2786085850 5572171700 11144343400