Search a number
-
+
11248143040 = 265239147073
BaseRepresentation
bin10100111100111000…
…10000101011000000
31002000220100212111101
422132130100223000
5141014011034130
65100050424144
7545511431641
oct123634205300
932026325441
1011248143040
114852313392
12221ab92054
1310a3469a54
14789c256c8
1545c7581ca
hex29e710ac0

11248143040 has 56 divisors (see below), whose sum is σ = 26896893120. Its totient is φ = 4480401408.

The previous prime is 11248143001. The next prime is 11248143043. The reversal of 11248143040 is 4034184211.

It is not an unprimeable number, because it can be changed into a prime (11248143043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2944 + ... + 150016.

Almost surely, 211248143040 is an apocalyptic number.

11248143040 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 11248143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13448446560).

11248143040 is an abundant number, since it is smaller than the sum of its proper divisors (15648750080).

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

11248143040 is a wasteful number, since it uses less digits than its factorization.

11248143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147329 (or 147319 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The spelling of 11248143040 in words is "eleven billion, two hundred forty-eight million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 239 320 478 956 1195 1912 2390 3824 4780 7648 9560 15296 19120 38240 76480 147073 294146 588292 735365 1176584 1470730 2353168 2941460 4706336 5882920 9412672 11765840 23531680 35150447 47063360 70300894 140601788 175752235 281203576 351504470 562407152 703008940 1124814304 1406017880 2249628608 2812035760 5624071520 11248143040