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11143411400 = 23521123321739
BaseRepresentation
bin10100110000011001…
…01111011011001000
31001202121021221200202
422120030233123020
5140310203131100
65041425551332
7543100301612
oct123014573310
931677257622
1011143411400
1147a918aa10
1221abaa5548
13108785a674
14779d61db2
1545346b7d5
hex29832f6c8

11143411400 has 96 divisors (see below), whose sum is σ = 28386352800. Its totient is φ = 4034572800.

The previous prime is 11143411393. The next prime is 11143411417. The reversal of 11143411400 is 411434111.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 501731 + ... + 523469.

It is an arithmetic number, because the mean of its divisors is an integer number (295691175).

Almost surely, 211143411400 is an apocalyptic number.

11143411400 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 11143411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14193176400).

11143411400 is an abundant number, since it is smaller than the sum of its proper divisors (17242941400).

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

11143411400 is a wasteful number, since it uses less digits than its factorization.

11143411400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21999 (or 21990 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11143411400 its reverse (411434111), we get a palindrome (11554845511).

The spelling of 11143411400 in words is "eleven billion, one hundred forty-three million, four hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 233 275 440 466 550 932 1100 1165 1864 2200 2330 2563 4660 5126 5825 9320 10252 11650 12815 20504 21739 23300 25630 43478 46600 51260 64075 86956 102520 108695 128150 173912 217390 239129 256300 434780 478258 512600 543475 869560 956516 1086950 1195645 1913032 2173900 2391290 4347800 4782580 5065187 5978225 9565160 10130374 11956450 20260748 23912900 25325935 40521496 47825800 50651870 55717057 101303740 111434114 126629675 202607480 222868228 253259350 278585285 445736456 506518700 557170570 1013037400 1114341140 1392926425 2228682280 2785852850 5571705700 11143411400