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11022480144 = 24321326732
BaseRepresentation
bin10100100001111110…
…11011001100010000
31001110011202000012100
422100333123030100
5140033223331034
65021430000400
7540101351424
oct122077331420
931404660170
1011022480144
1147469a2525
1221774a6100
131068798900
14767c82b84
15447a30099
hex290fdb310

11022480144 has 135 divisors (see below), whose sum is σ = 33452767647. Its totient is φ = 3386492928.

The previous prime is 11022480101. The next prime is 11022480151. The reversal of 11022480144 is 44108422011.

The square root of 11022480144 is 104988.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3179606544 + 7842873600 = 56388^2 + 88560^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16377792 + ... + 16378464.

Almost surely, 211022480144 is an apocalyptic number.

11022480144 is the 104988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11022480144

11022480144 is an abundant number, since it is smaller than the sum of its proper divisors (22430287503).

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

11022480144 is an equidigital number, since it uses as much as digits as its factorization.

11022480144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 11022480144 in words is "eleven billion, twenty-two million, four hundred eighty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 673 676 936 1014 1346 1352 1521 1872 2019 2028 2692 2704 3042 4038 4056 5384 6057 6084 8076 8112 8749 10768 12114 12168 16152 17498 24228 24336 26247 32304 34996 48456 52494 69992 78741 96912 104988 113737 139984 157482 209976 227474 314964 341211 419952 452929 454948 629928 682422 905858 909896 1023633 1259856 1358787 1364844 1811716 1819792 2047266 2717574 2729688 3623432 4076361 4094532 5435148 5459376 5888077 7246864 8152722 8189064 10870296 11776154 16305444 16378128 17664231 21740592 23552308 32610888 35328462 47104616 52992693 65221776 70656924 76545001 94209232 105985386 141313848 153090002 211970772 229635003 282627696 306180004 423941544 459270006 612360008 688905009 847883088 918540012 1224720016 1377810018 1837080024 2755620036 3674160048 5511240072 11022480144