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1144220415 = 3513241101109
BaseRepresentation
bin100010000110011…
…0110101011111111
32221202001102022220
41010030312223333
54320410023130
6305312340423
740232466402
oct10414665377
92852042286
101144220415
11537978808
1227b244713
13153094500
14abd6dd39
156a6bd410
hex44336aff

1144220415 has 96 divisors (see below), whose sum is σ = 2069686080. Its totient is φ = 539136000.

The previous prime is 1144220381. The next prime is 1144220419. The reversal of 1144220415 is 5140224411.

It is not a de Polignac number, because 1144220415 - 212 = 1144216319 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144220419) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10497381 + ... + 10497489.

It is an arithmetic number, because the mean of its divisors is an integer number (21559230).

Almost surely, 21144220415 is an apocalyptic number.

1144220415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1144220415 is a deficient number, since it is larger than the sum of its proper divisors (925465665).

1144220415 is a wasteful number, since it uses less digits than its factorization.

1144220415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 1144220415 is about 33826.3272466876. The cubic root of 1144220415 is about 1045.9314710883.

Adding to 1144220415 its reverse (5140224411), we get a palindrome (6284444826).

The spelling of 1144220415 in words is "one billion, one hundred forty-four million, two hundred twenty thousand, four hundred fifteen".

Divisors: 1 3 5 13 15 39 41 65 101 109 123 169 195 205 303 327 505 507 533 545 615 845 1313 1417 1515 1599 1635 2535 2665 3939 4141 4251 4469 6565 6929 7085 7995 11009 12423 13407 17069 18421 19695 20705 20787 21255 22345 33027 34645 51207 53833 55045 55263 58097 62115 67035 85345 92105 103935 143117 161499 165135 174291 256035 269165 276315 290485 429351 451369 699829 715585 755261 807495 871455 1354107 1860521 2099487 2146755 2256845 2265783 3499145 3776305 5581563 5867797 6770535 9302605 10497435 11328915 17603391 27907815 29338985 76281361 88016955 228844083 381406805 1144220415