Search a number
-
+
134262221250 = 2354671134729
BaseRepresentation
bin111110100001010100…
…1101110100111000010
3110211112222001112000010
41331002221232213002
54144432112040000
6141402413205350
712462100023243
oct1750251564702
9424488045003
10134262221250
1151a38584033
1222030190856
13c878c27541
1466d959acca
15375c133d50
hex1f42a6e9c2

134262221250 has 160 divisors (see below), whose sum is σ = 343642749120. Its totient is φ = 34949376000.

The previous prime is 134262221237. The next prime is 134262221251. The reversal of 134262221250 is 52122262431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (134262221251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28388886 + ... + 28393614.

It is an arithmetic number, because the mean of its divisors is an integer number (2147767182).

Almost surely, 2134262221250 is an apocalyptic number.

134262221250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134262221250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171821374560).

134262221250 is an abundant number, since it is smaller than the sum of its proper divisors (209380527870).

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

134262221250 is a wasteful number, since it uses less digits than its factorization.

134262221250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4934 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 134262221250 its reverse (52122262431), we get a palindrome (186384483681).

The spelling of 134262221250 in words is "one hundred thirty-four billion, two hundred sixty-two million, two hundred twenty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 67 75 113 125 134 150 201 226 250 335 339 375 402 565 625 670 678 750 1005 1130 1250 1675 1695 1875 2010 2825 3350 3390 3750 4729 5025 5650 7571 8375 8475 9458 10050 14125 14187 15142 16750 16950 22713 23645 25125 28250 28374 37855 41875 42375 45426 47290 50250 70625 70935 75710 83750 84750 113565 118225 125625 141250 141870 189275 211875 227130 236450 251250 316843 354675 378550 423750 534377 567825 591125 633686 709350 946375 950529 1068754 1135650 1182250 1584215 1603131 1773375 1892750 1901058 2671885 2839125 2955625 3168430 3206262 3546750 4731875 4752645 5343770 5678250 5911250 7921075 8015655 8866875 9463750 9505290 13359425 14195625 15842150 16031310 17733750 23763225 26718850 28391250 35803259 39605375 40078275 47526450 66797125 71606518 79210750 80156550 107409777 118816125 133594250 179016295 198026875 200391375 214819554 237632250 333985625 358032590 396053750 400782750 537048885 594080625 667971250 895081475 1001956875 1074097770 1188161250 1790162950 2003913750 2685244425 4475407375 5370488850 8950814750 13426222125 22377036875 26852444250 44754073750 67131110625 134262221250