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11442201144 = 23311127341273
BaseRepresentation
bin10101010100000001…
…00010001000111000
31002112102112001011120
422222000202020320
5141413200414034
65131222025240
7553356051003
oct125200421070
932472461146
1011442201144
114941908090
122273b78220
13110472362a
147a78dc53a
1546e7dbc49
hex2aa022238

11442201144 has 64 divisors (see below), whose sum is σ = 31451811840. Its totient is φ = 3440021760.

The previous prime is 11442201077. The next prime is 11442201149. The reversal of 11442201144 is 44110224411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11442201149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137109 + ... + 204164.

It is an arithmetic number, because the mean of its divisors is an integer number (491434560).

Almost surely, 211442201144 is an apocalyptic number.

It is an amenable number.

11442201144 is an abundant number, since it is smaller than the sum of its proper divisors (20009610696).

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

11442201144 is a wasteful number, since it uses less digits than its factorization.

11442201144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341420 (or 341416 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 11442201144 its reverse (44110224411), we get a palindrome (55552425555).

The spelling of 11442201144 in words is "eleven billion, four hundred forty-two million, two hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 127 132 254 264 381 508 762 1016 1397 1524 2794 3048 4191 5588 8382 11176 16764 33528 341273 682546 1023819 1365092 2047638 2730184 3754003 4095276 7508006 8190552 11262009 15016012 22524018 30032024 43341671 45048036 86683342 90096072 130025013 173366684 260050026 346733368 476758381 520100052 953516762 1040200104 1430275143 1907033524 2860550286 3814067048 5721100572 11442201144