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11304234144 = 253272801037
BaseRepresentation
bin10101000011100100…
…01110110010100000
31002011210220121000200
422201302032302200
5141122340443034
65105412545200
7550062255600
oct124162166240
932153817020
1011304234144
114880a44475
122235922200
1310b1c78758
14793466c00
15462637a99
hex2a1c8eca0

11304234144 has 108 divisors (see below), whose sum is σ = 37394856954. Its totient is φ = 3229777152.

The previous prime is 11304234131. The next prime is 11304234157. The reversal of 11304234144 is 44143240311.

11304234144 is a `hidden beast` number, since 11 + 304 + 2 + 341 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11304234131) and next prime (11304234157).

It can be written as a sum of positive squares in only one way, i.e., 11291187600 + 13046544 = 106260^2 + 3612^2 .

It is a super-3 number, since 3×113042341443 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 386407 + ... + 414630.

Almost surely, 211304234144 is an apocalyptic number.

11304234144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11304234144 is an abundant number, since it is smaller than the sum of its proper divisors (26090622810).

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

11304234144 is a wasteful number, since it uses less digits than its factorization.

11304234144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801067 (or 801049 counting only the distinct ones).

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

Adding to 11304234144 its reverse (44143240311), we get a palindrome (55447474455).

The spelling of 11304234144 in words is "eleven billion, three hundred four million, two hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 14112 801037 1602074 2403111 3204148 4806222 5607259 6408296 7209333 9612444 11214518 12816592 14418666 16821777 19224888 22429036 25633184 28837332 33643554 38449776 39250813 44858072 50465331 57674664 67287108 76899552 78501626 89716144 100930662 115349328 117752439 134574216 157003252 179432288 201861324 230698656 235504878 269148432 314006504 353257317 403722648 471009756 538296864 628013008 706514634 807445296 942019512 1256026016 1413029268 1614890592 1884039024 2826058536 3768078048 5652117072 11304234144