Search a number
-
+
11550141040 = 2451934921773
BaseRepresentation
bin10101100000111000…
…10010101001110000
31002210221121221212111
422300130102221300
5142123314003130
65150035335104
7556136402404
oct126034225160
932727557774
1011550141040
114997831a09
1222a4151494
131120bb70a9
147b7d99104
1547900e02a
hex2b0712a70

11550141040 has 80 divisors (see below), whose sum is σ = 28349748000. Its totient is φ = 4364153856.

The previous prime is 11550140993. The next prime is 11550141079. The reversal of 11550141040 is 4014105511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 519594 + ... + 541366.

It is an arithmetic number, because the mean of its divisors is an integer number (354371850).

Almost surely, 211550141040 is an apocalyptic number.

11550141040 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 11550141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14174874000).

11550141040 is an abundant number, since it is smaller than the sum of its proper divisors (16799606960).

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

11550141040 is a wasteful number, since it uses less digits than its factorization.

11550141040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22154 (or 22148 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

Adding to 11550141040 its reverse (4014105511), we get a palindrome (15564246551).

The spelling of 11550141040 in words is "eleven billion, five hundred fifty million, one hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 349 380 698 760 1396 1520 1745 2792 3490 5584 6631 6980 13262 13960 21773 26524 27920 33155 43546 53048 66310 87092 106096 108865 132620 174184 217730 265240 348368 413687 435460 530480 827374 870920 1654748 1741840 2068435 3309496 4136870 6618992 7598777 8273740 15197554 16547480 30395108 33094960 37993885 60790216 75987770 121580432 144376763 151975540 288753526 303951080 577507052 607902160 721883815 1155014104 1443767630 2310028208 2887535260 5775070520 11550141040