Search a number
-
+
134306441310 = 235131234714561
BaseRepresentation
bin111110100010101001…
…0011010100001011110
3110211200001021010112010
41331011102122201132
54200024422110220
6141411033052050
712463144625556
oct1750522324136
9424601233463
10134306441310
1151a60537238
1222042b57026
13c88513ab62
1467013cc166
153760e6b1e0
hex1f4549a85e

134306441310 has 64 divisors (see below), whose sum is σ = 324956738304. Its totient is φ = 35524070400.

The previous prime is 134306441287. The next prime is 134306441327. The reversal of 134306441310 is 13144603431.

It is a super-2 number, since 2×1343064413102 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9216430 + ... + 9230990.

It is an arithmetic number, because the mean of its divisors is an integer number (5077449036).

Almost surely, 2134306441310 is an apocalyptic number.

134306441310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

134306441310 is an abundant number, since it is smaller than the sum of its proper divisors (190650296994).

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

134306441310 is a wasteful number, since it uses less digits than its factorization.

134306441310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17049.

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 134306441310 in words is "one hundred thirty-four billion, three hundred six million, four hundred forty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 131 262 393 655 786 1310 1965 2347 3930 4694 7041 11735 14082 14561 23470 29122 35205 43683 70410 72805 87366 145610 218415 307457 436830 614914 922371 1537285 1844742 1907491 3074570 3814982 4611855 5722473 9223710 9537455 11444946 19074910 28612365 34174667 57224730 68349334 102524001 170873335 205048002 341746670 512620005 1025240010 4476881377 8953762754 13430644131 22384406885 26861288262 44768813770 67153220655 134306441310