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134224727472 = 243211307276019
BaseRepresentation
bin111110100000001101…
…0101100110110110000
3110211110100111122012200
41331000122230312300
54144343012234342
6141354553423200
712461133234033
oct1750032546660
9424410448180
10134224727472
1151a193a5440
122201b70ab00
13c87122a684
1466d45db01a
153758bc994c
hex1f406acdb0

134224727472 has 120 divisors (see below), whose sum is σ = 411128477760. Its totient is φ = 40541523840.

The previous prime is 134224727393. The next prime is 134224727531. The reversal of 134224727472 is 274727422431.

134224727472 is a `hidden beast` number, since 1 + 3 + 42 + 2 + 472 + 74 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348279 + ... + 624297.

It is an arithmetic number, because the mean of its divisors is an integer number (3426070648).

Almost surely, 2134224727472 is an apocalyptic number.

134224727472 is a gapful number since it is divisible by the number (12) 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 134224727472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205564238880).

134224727472 is an abundant number, since it is smaller than the sum of its proper divisors (276903750288).

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

134224727472 is a wasteful number, since it uses less digits than its factorization.

134224727472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276351 (or 276342 counting only the distinct ones).

The product of its digits is 1053696, while the sum is 45.

The spelling of 134224727472 in words is "one hundred thirty-four billion, two hundred twenty-four million, seven hundred twenty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 307 396 528 614 792 921 1228 1584 1842 2456 2763 3377 3684 4912 5526 6754 7368 10131 11052 13508 14736 20262 22104 27016 30393 40524 44208 54032 60786 81048 121572 162096 243144 276019 486288 552038 828057 1104076 1656114 2208152 2484171 3036209 3312228 4416304 4968342 6072418 6624456 9108627 9936684 12144836 13248912 18217254 19873368 24289672 27325881 36434508 39746736 48579344 54651762 72869016 84737833 109303524 145738032 169475666 218607048 254213499 338951332 437214096 508426998 677902664 762640497 932116163 1016853996 1355805328 1525280994 1864232326 2033707992 2796348489 3050561988 3728464652 4067415984 5592696978 6101123976 7456929304 8389045467 11185393956 12202247952 14913858608 16778090934 22370787912 33556181868 44741575824 67112363736 134224727472