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11011201440 = 253522940003
BaseRepresentation
bin10100100000101000…
…11001100110100000
31001102101111222201120
422100110121212200
5140022331421230
65020344132240
7536603445051
oct122024314640
931371458646
1011011201440
114740599688
122173767080
13106634a015
14766588728
15446a53310
hex2905199a0

11011201440 has 48 divisors (see below), whose sum is σ = 34685286048. Its totient is φ = 2936320256.

The previous prime is 11011201417. The next prime is 11011201441. The reversal of 11011201440 is 4410211011.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (11011201441) 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, 11469522 + ... + 11470481.

It is an arithmetic number, because the mean of its divisors is an integer number (722610126).

Almost surely, 211011201440 is an apocalyptic number.

11011201440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011201440 is an abundant number, since it is smaller than the sum of its proper divisors (23674084608).

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

11011201440 is a wasteful number, since it uses less digits than its factorization.

11011201440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22940021 (or 22940013 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11011201440 its reverse (4410211011), we get a palindrome (15421412451).

The spelling of 11011201440 in words is "eleven billion, eleven million, two hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 22940003 45880006 68820009 91760012 114700015 137640018 183520024 229400030 275280036 344100045 367040048 458800060 550560072 688200090 734080096 917600120 1101120144 1376400180 1835200240 2202240288 2752800360 3670400480 5505600720 11011201440