Search a number
-
+
11142510000 = 24354371417
BaseRepresentation
bin10100110000010010…
…10011010110110000
31001202112121011012120
422120021103112300
5140304440310000
65041354354240
7543056525616
oct123011232660
931675534176
1011142510000
1147a8724756
1221ab72b980
1310876032ab
14779ba96b6
1545333e6a0
hex2982535b0

11142510000 has 100 divisors (see below), whose sum is σ = 35969604792. Its totient is φ = 2971328000.

The previous prime is 11142509953. The next prime is 11142510019. The reversal of 11142510000 is 1524111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 155709 + ... + 215708.

Almost surely, 211142510000 is an apocalyptic number.

11142510000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11142510000 is an abundant number, since it is smaller than the sum of its proper divisors (24827094792).

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

11142510000 is an equidigital number, since it uses as much as digits as its factorization.

11142510000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371448 (or 371427 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The spelling of 11142510000 in words is "eleven billion, one hundred forty-two million, five hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 371417 742834 1114251 1485668 1857085 2228502 2971336 3714170 4457004 5571255 5942672 7428340 8914008 9285425 11142510 14856680 17828016 18570850 22285020 27856275 29713360 37141700 44570040 46427125 55712550 74283400 89140080 92854250 111425100 139281375 148566800 185708500 222850200 232135625 278562750 371417000 445700400 464271250 557125500 696406875 742834000 928542500 1114251000 1392813750 1857085000 2228502000 2785627500 3714170000 5571255000 11142510000