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11444340312 = 233424177307
BaseRepresentation
bin10101010100010001…
…01100011001011000
31002112120112201120000
422222020230121120
5141414222342222
65131335533000
7553413200436
oct125210543130
932476481500
1011444340312
114943039299
12227482a160
131104cc2202
147a7cd7d56
1546eab09ac
hex2aa22c658

11444340312 has 80 divisors (see below), whose sum is σ = 32072400360. Its totient is φ = 3812679936.

The previous prime is 11444340301. The next prime is 11444340317. The reversal of 11444340312 is 21304344411.

11444340312 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 4 + 340 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11444340317) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1562563 + ... + 1569869.

Almost surely, 211444340312 is an apocalyptic number.

11444340312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11444340312 is an abundant number, since it is smaller than the sum of its proper divisors (20628060048).

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

11444340312 is a wasteful number, since it uses less digits than its factorization.

11444340312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9742 (or 9729 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11444340312 its reverse (21304344411), we get a palindrome (32748684723).

The spelling of 11444340312 in words is "eleven billion, four hundred forty-four million, three hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 2417 4834 7251 7307 9668 14502 14614 19336 21753 21921 29004 29228 43506 43842 58008 58456 65259 65763 87012 87684 130518 131526 174024 175368 195777 197289 261036 263052 391554 394578 522072 526104 591867 783108 789156 1183734 1566216 1578312 2367468 4734936 17661019 35322038 52983057 70644076 105966114 141288152 158949171 211932228 317898342 423864456 476847513 635796684 953695026 1271593368 1430542539 1907390052 2861085078 3814780104 5722170156 11444340312