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11141240000 = 26541125321
BaseRepresentation
bin10100110000001000…
…11101010011000000
31001202110012122002112
422120010131103000
5140304124140000
65041311234452
7543042656162
oct123004352300
931673178075
1011141240000
1147a7a37570
1221ab218a28
13108727a207
14779958932
1545318d235
hex29811d4c0

11141240000 has 140 divisors (see below), whose sum is σ = 30139358568. Its totient is φ = 4051200000.

The previous prime is 11141239979. The next prime is 11141240023. The reversal of 11141240000 is 4214111.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 427340 + ... + 452660.

Almost surely, 211141240000 is an apocalyptic number.

11141240000 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 11141240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15069679284).

11141240000 is an abundant number, since it is smaller than the sum of its proper divisors (18998118568).

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

11141240000 is an equidigital number, since it uses as much as digits as its factorization.

11141240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25364 (or 25339 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11141240000 its reverse (4214111), we get a palindrome (11145454111).

The spelling of 11141240000 in words is "eleven billion, one hundred forty-one million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 5000 5500 6875 8000 8800 10000 11000 13750 17600 20000 22000 25321 27500 40000 44000 50642 55000 88000 101284 110000 126605 202568 220000 253210 278531 405136 440000 506420 557062 633025 810272 1012840 1114124 1266050 1392655 1620544 2025680 2228248 2532100 2785310 3165125 4051360 4456496 5064200 5570620 6330250 6963275 8102720 8912992 10128400 11141240 12660500 13926550 15825625 17825984 20256800 22282480 25321000 27853100 31651250 34816375 40513600 44564960 50642000 55706200 63302500 69632750 89129920 101284000 111412400 126605000 139265500 174081875 202568000 222824800 253210000 278531000 348163750 445649600 506420000 557062000 696327500 1012840000 1114124000 1392655000 2228248000 2785310000 5570620000 11141240000