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11142111640 = 2351125798533
BaseRepresentation
bin10100110000001111…
…10010000110011000
31001202111211220202111
422120013302012120
5140304340033030
65041342042104
7543053246332
oct123007620630
931674756674
1011142111640
1147a8482430
1221ab579334
1310874c3b8a
14779b04452
154532b162a
hex2981f2198

11142111640 has 64 divisors (see below), whose sum is σ = 27455513760. Its totient is φ = 4035870720.

The previous prime is 11142111611. The next prime is 11142111653. The reversal of 11142111640 is 4611124111.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 63814 + ... + 162346.

Almost surely, 211142111640 is an apocalyptic number.

11142111640 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 11142111640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13727756880).

11142111640 is an abundant number, since it is smaller than the sum of its proper divisors (16313402120).

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

11142111640 is a wasteful number, since it uses less digits than its factorization.

11142111640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98812 (or 98808 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 11142111640 its reverse (4611124111), we get a palindrome (15753235751).

The spelling of 11142111640 in words is "eleven billion, one hundred forty-two million, one hundred eleven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 257 440 514 1028 1285 2056 2570 2827 5140 5654 10280 11308 14135 22616 28270 56540 98533 113080 197066 394132 492665 788264 985330 1083863 1970660 2167726 3941320 4335452 5419315 8670904 10838630 21677260 25322981 43354520 50645962 101291924 126614905 202583848 253229810 278552791 506459620 557105582 1012919240 1114211164 1392763955 2228422328 2785527910 5571055820 11142111640