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134634041310 = 235231016193121
BaseRepresentation
bin111110101100011010…
…0000110111111011110
3110212111212200221020110
41331120310012333132
54201212303310220
6141503334430450
712504233316606
oct1753064067736
9425455627213
10134634041310
1152109451a3a
1222114802426
13c907c80402
146732b07c06
15377eaccbe0
hex1f58d06fde

134634041310 has 128 divisors (see below), whose sum is σ = 341168163840. Its totient is φ = 33935616000.

The previous prime is 134634041303. The next prime is 134634041329. The reversal of 134634041310 is 13140436431.

It is a super-2 number, since 2×1346340413102 (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 (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43136550 + ... + 43139670.

It is an arithmetic number, because the mean of its divisors is an integer number (2665376280).

Almost surely, 2134634041310 is an apocalyptic number.

134634041310 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 134634041310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170584081920).

134634041310 is an abundant number, since it is smaller than the sum of its proper divisors (206534122530).

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

134634041310 is a wasteful number, since it uses less digits than its factorization.

134634041310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874.

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

Adding to 134634041310 its reverse (13140436431), we get a palindrome (147774477741).

The spelling of 134634041310 in words is "one hundred thirty-four billion, six hundred thirty-four million, forty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 101 115 138 202 230 303 345 505 606 619 690 1010 1238 1515 1857 2323 3030 3095 3121 3714 4646 6190 6242 6969 9285 9363 11615 13938 14237 15605 18570 18726 23230 28474 31210 34845 42711 46815 62519 69690 71185 71783 85422 93630 125038 142370 143566 187557 213555 215349 312595 315221 358915 375114 427110 430698 625190 630442 717830 937785 945663 1076745 1437937 1576105 1875570 1891326 1931899 2153490 2875874 3152210 3863798 4313811 4728315 5795697 7189685 7250083 8627622 9456630 9659495 11591394 14379370 14500166 19318990 21569055 21750249 28978485 36250415 43138110 43500498 44433677 57956970 72500830 88867354 108751245 133301031 195121799 217502490 222168385 266602062 390243598 444336770 585365397 666505155 975608995 1170730794 1333010310 1951217990 2926826985 4487801377 5853653970 8975602754 13463404131 22439006885 26926808262 44878013770 67317020655 134634041310