Search a number
-
+
11023414040 = 2351718189563
BaseRepresentation
bin10100100010000101…
…11111001100011000
31001110020111110021002
422101002333030120
5140033443222130
65021502004132
7540112321232
oct122102771430
931406443232
1011023414040
114747480141
122177876648
131068a34a02
14768047252
15447b66b45
hex2910bf318

11023414040 has 64 divisors (see below), whose sum is σ = 26407049760. Its totient is φ = 4127016960.

The previous prime is 11023414007. The next prime is 11023414049. The reversal of 11023414040 is 4041432011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11023414049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78299 + ... + 167861.

Almost surely, 211023414040 is an apocalyptic number.

11023414040 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 11023414040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13203524880).

11023414040 is an abundant number, since it is smaller than the sum of its proper divisors (15383635720).

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

11023414040 is a wasteful number, since it uses less digits than its factorization.

11023414040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89772 (or 89768 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11023414040 its reverse (4041432011), we get a palindrome (15064846051).

The spelling of 11023414040 in words is "eleven billion, twenty-three million, four hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 181 340 362 680 724 905 1448 1810 3077 3620 6154 7240 12308 15385 24616 30770 61540 89563 123080 179126 358252 447815 716504 895630 1522571 1791260 3045142 3582520 6090284 7612855 12180568 15225710 16210903 30451420 32421806 60902840 64843612 81054515 129687224 162109030 275585351 324218060 551170702 648436120 1102341404 1377926755 2204682808 2755853510 5511707020 11023414040