Search a number
-
+
134903808723456 = 293337925748461
BaseRepresentation
bin11110101011000110111101…
…100110010000101000000000
3122200122200022101021021022000
4132223012331212100220000
5120140231000013122311
61154525542033344000
740262323066126263
oct3653067546205000
9580580271237260
10134903808723456
1139a914250a8a23
1213169318708000
135a374b3c39926
142545544686cda
15108e257121056
hex7ab1bd990a00

134903808723456 has 160 divisors (see below), whose sum is σ = 400378284715200. Its totient is φ = 44849285591040.

The previous prime is 134903808723449. The next prime is 134903808723457. The reversal of 134903808723456 is 654327808309431.

It is a happy number.

134903808723456 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 0 + 3 + 80 + 87 + 23 + 456 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 134903808723393 and 134903808723402.

It is not an unprimeable number, because it can be changed into a prime (134903808723457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7634935 + ... + 18113526.

It is an arithmetic number, because the mean of its divisors is an integer number (2502364279470).

It is a 1-persistent number, because it is pandigital, but 2⋅134903808723456 = 269807617446912 is not.

Almost surely, 2134903808723456 is an apocalyptic number.

134903808723456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

134903808723456 is an abundant number, since it is smaller than the sum of its proper divisors (265474475991744).

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

134903808723456 is an equidigital number, since it uses as much as digits as its factorization.

134903808723456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25748867 (or 25748845 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 134903808723456 in words is "one hundred thirty-four trillion, nine hundred three billion, eight hundred eight million, seven hundred twenty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 379 384 432 512 576 758 768 864 1137 1152 1516 1536 1728 2274 2304 3032 3411 3456 4548 4608 6064 6822 6912 9096 10233 12128 13644 13824 18192 20466 24256 27288 36384 40932 48512 54576 72768 81864 97024 109152 145536 163728 194048 218304 291072 327456 436608 582144 654912 873216 1309824 1746432 2619648 5239296 25748461 51496922 77245383 102993844 154490766 205987688 231736149 308981532 411975376 463472298 617963064 695208447 823950752 926944596 1235926128 1390416894 1647901504 1853889192 2471852256 2780833788 3295803008 3707778384 4943704512 5561667576 6591606016 7415556768 9758666719 9887409024 11123335152 13183212032 14831113536 19517333438 19774818048 22246670304 29276000157 29662227072 39034666876 39549636096 44493340608 58552000314 59324454144 78069333752 87828000471 88986681216 117104000628 118648908288 156138667504 175656000942 177973362432 234208001256 263484001413 312277335008 351312001884 355946724864 468416002512 526968002826 624554670016 702624003768 936832005024 1053936005652 1249109340032 1405248007536 1873664010048 2107872011304 2498218680064 2810496015072 3747328020096 4215744022608 4996437360128 5620992030144 7494656040192 8431488045216 11241984060288 14989312080384 16862976090432 22483968120576 33725952180864 44967936241152 67451904361728 134903808723456