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11544114420 = 22325229280061
BaseRepresentation
bin10101100000001010…
…10011010011110100
31002210112021202220100
422300011103103310
5142120243130140
65145302234100
7556034232156
oct126005232364
932715252810
1011544114420
114994396033
1222a2125930
13111c886c47
147b726aad6
1547871d530
hex2b01534f4

11544114420 has 72 divisors (see below), whose sum is σ = 35170185960. Its totient is φ = 3064976640.

The previous prime is 11544114409. The next prime is 11544114427. The reversal of 11544114420 is 2441144511.

It is a happy number.

11544114420 is a `hidden beast` number, since 1 + 1 + 544 + 114 + 4 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4534406244 + 7009708176 = 67338^2 + 83724^2 .

It is a super-3 number, since 3×115441144203 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11544114427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98811 + ... + 181250.

It is an arithmetic number, because the mean of its divisors is an integer number (488474805).

Almost surely, 211544114420 is an apocalyptic number.

11544114420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11544114420 is an abundant number, since it is smaller than the sum of its proper divisors (23626071540).

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

11544114420 is a wasteful number, since it uses less digits than its factorization.

11544114420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280305 (or 280300 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 11544114420 its reverse (2441144511), we get a palindrome (13985258931).

The spelling of 11544114420 in words is "eleven billion, five hundred forty-four million, one hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 229 458 687 916 1145 1374 2061 2290 2748 3435 4122 4580 6870 8244 10305 13740 20610 41220 280061 560122 840183 1120244 1400305 1680366 2520549 2800610 3360732 4200915 5041098 5601220 8401830 10082196 12602745 16803660 25205490 50410980 64133969 128267938 192401907 256535876 320669845 384803814 577205721 641339690 769607628 962009535 1154411442 1282679380 1924019070 2308822884 2886028605 3848038140 5772057210 11544114420