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11444421120 = 293511135469
BaseRepresentation
bin10101010100010010…
…00000001000000000
31002112120200211101220
422222021000020000
5141414232433440
65131341355040
7553413655146
oct125211001000
932476624356
1011444421120
114943093a80
122274868a80
13110501cc22
147a7d19596
1546eac98d0
hex2aa240200

11444421120 has 160 divisors (see below), whose sum is σ = 39912713280. Its totient is φ = 2774384640.

The previous prime is 11444421113. The next prime is 11444421137. The reversal of 11444421120 is 2112444411.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16746 + ... + 152214.

It is an arithmetic number, because the mean of its divisors is an integer number (249454458).

Almost surely, 211444421120 is an apocalyptic number.

11444421120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11444421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19956356640).

11444421120 is an abundant number, since it is smaller than the sum of its proper divisors (28468292160).

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

11444421120 is a wasteful number, since it uses less digits than its factorization.

11444421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135506 (or 135490 counting only the distinct ones).

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

Adding to 11444421120 its reverse (2112444411), we get a palindrome (13556865531).

The spelling of 11444421120 in words is "eleven billion, four hundred forty-four million, four hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 512 528 640 660 704 768 880 960 1056 1280 1320 1408 1536 1760 1920 2112 2560 2640 2816 3520 3840 4224 5280 5632 7040 7680 8448 10560 14080 16896 21120 28160 42240 84480 135469 270938 406407 541876 677345 812814 1083752 1354690 1490159 1625628 2032035 2167504 2709380 2980318 3251256 4064070 4335008 4470477 5418760 5960636 6502512 7450795 8128140 8670016 8940954 10837520 11921272 13005024 14901590 16256280 17340032 17881908 21675040 22352385 23842544 26010048 29803180 32512560 34680064 35763816 43350080 44704770 47685088 52020096 59606360 65025120 69360128 71527632 86700160 89409540 95370176 104040192 119212720 130050240 143055264 173400320 178819080 190740352 208080384 238425440 260100480 286110528 346800640 357638160 381480704 476850880 520200960 572221056 715276320 762961408 953701760 1040401920 1144442112 1430552640 1907403520 2288884224 2861105280 3814807040 5722210560 11444421120