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11142142240 = 2551013471987
BaseRepresentation
bin10100110000001111…
…11001100100100000
31001202111220110201211
422120013321210200
5140304342022430
65041342435504
7543053434465
oct123007714440
931674813654
1011142142240
1147a84a3419
1221ab592b94
131087504a98
14779b1166c
154532ba72a
hex2981f9920

11142142240 has 96 divisors (see below), whose sum is σ = 26673966144. Its totient is φ = 4397798400.

The previous prime is 11142142217. The next prime is 11142142273. The reversal of 11142142240 is 4224124111.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5606527 + ... + 5608513.

It is an arithmetic number, because the mean of its divisors is an integer number (277853814).

Almost surely, 211142142240 is an apocalyptic number.

11142142240 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 11142142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13336983072).

11142142240 is an abundant number, since it is smaller than the sum of its proper divisors (15531823904).

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

11142142240 is a wasteful number, since it uses less digits than its factorization.

11142142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2450 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 11142142240 its reverse (4224124111), we get a palindrome (15366266351).

The spelling of 11142142240 in words is "eleven billion, one hundred forty-two million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 160 202 347 404 505 694 808 1010 1388 1616 1735 1987 2020 2776 3232 3470 3974 4040 5552 6940 7948 8080 9935 11104 13880 15896 16160 19870 27760 31792 35047 39740 55520 63584 70094 79480 140188 158960 175235 200687 280376 317920 350470 401374 560752 689489 700940 802748 1003435 1121504 1378978 1401880 1605496 2006870 2757956 2803760 3210992 3447445 4013740 5515912 5607520 6421984 6894890 8027480 11031824 13789780 16054960 22063648 27579560 32109920 55159120 69638389 110318240 139276778 278553556 348191945 557107112 696383890 1114214224 1392767780 2228428448 2785535560 5571071120 11142142240