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1344120015 = 357414353137
BaseRepresentation
bin101000000011101…
…1010010011001111
310110200012101000210
41100013122103033
510223043320030
6341213053503
745210555150
oct12007322317
93420171023
101344120015
1162a7a2297
12316187293
13185614bb4
14ca727927
157d007bb0
hex501da4cf

1344120015 has 128 divisors (see below), whose sum is σ = 2644088832. Its totient is φ = 570286080.

The previous prime is 1344119923. The next prime is 1344120017. The reversal of 1344120015 is 5100214431.

It is not a de Polignac number, because 1344120015 - 28 = 1344119759 is a prime.

It is a super-2 number, since 2×13441200152 = 3613317229447200450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1344119973 and 1344120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344120017) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9811027 + ... + 9811163.

It is an arithmetic number, because the mean of its divisors is an integer number (20656944).

Almost surely, 21344120015 is an apocalyptic number.

1344120015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1344120015 is a deficient number, since it is larger than the sum of its proper divisors (1299968817).

1344120015 is a wasteful number, since it uses less digits than its factorization.

1344120015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1344120015 is about 36662.2423618632. The cubic root of 1344120015 is about 1103.6025180157.

Adding to 1344120015 its reverse (5100214431), we get a palindrome (6444334446).

The spelling of 1344120015 in words is "one billion, three hundred forty-four million, one hundred twenty thousand, fifteen".

Divisors: 1 3 5 7 15 21 35 41 43 53 105 123 129 137 159 205 215 265 287 301 371 411 615 645 685 795 861 903 959 1113 1435 1505 1763 1855 2055 2173 2279 2877 4305 4515 4795 5289 5565 5617 5891 6519 6837 7261 8815 10865 11395 12341 14385 15211 15953 16851 17673 21783 26445 28085 29455 32595 34185 36305 37023 39319 41237 45633 47859 50827 61705 76055 79765 84255 88365 93439 108915 117957 123711 152481 185115 196595 206185 228165 239295 241531 254135 280317 297701 312223 467195 589785 618555 654073 724593 762405 893103 936669 1207655 1401585 1488505 1561115 1690717 1962219 2083907 2185561 3270365 3622965 4465515 4683345 5072151 6251721 6556683 8453585 9811095 10419535 10927805 12801143 25360755 31258605 32783415 38403429 64005715 89608001 192017145 268824003 448040005 1344120015