Search a number
-
+
241355534120 = 235177119925121
BaseRepresentation
bin1110000011000111101…
…0010010111100101000
3212001222111000111020022
43200301322102330220
512423244004042440
6302513250420012
723303005122221
oct3406172227450
9761874014208
10241355534120
11933a39a8078
123a939591608
13199b5181a1c
14b978708248
156428e6acb5
hex3831e92f28

241355534120 has 128 divisors (see below), whose sum is σ = 586046016000. Its totient is φ = 89129779200.

The previous prime is 241355534087. The next prime is 241355534143. The reversal of 241355534120 is 21435553142.

241355534120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9595160 + ... + 9620280.

It is an arithmetic number, because the mean of its divisors is an integer number (4578484500).

Almost surely, 2241355534120 is an apocalyptic number.

241355534120 is a gapful number since it is divisible by the number (20) 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 241355534120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293023008000).

241355534120 is an abundant number, since it is smaller than the sum of its proper divisors (344690481880).

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

241355534120 is a wasteful number, since it uses less digits than its factorization.

241355534120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25419 (or 25415 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 241355534120 in words is "two hundred forty-one billion, three hundred fifty-five million, five hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 71 85 136 142 170 199 284 340 355 398 568 680 710 796 995 1207 1420 1592 1990 2414 2840 3383 3980 4828 6035 6766 7960 9656 12070 13532 14129 16915 24140 25121 27064 28258 33830 48280 50242 56516 67660 70645 100484 113032 125605 135320 141290 200968 240193 251210 282580 427057 480386 502420 565160 854114 960772 1004840 1200965 1708228 1783591 1921544 2135285 2401930 3416456 3567182 4270570 4803860 4999079 7134364 8541140 8917955 9607720 9998158 14268728 17082280 17835910 19996316 24995395 30321047 35671820 39992632 49990790 60642094 71343640 84984343 99981580 121284188 151605235 169968686 199963160 242568376 303210470 339937372 354934609 424921715 606420940 679874744 709869218 849843430 1212841880 1419738436 1699686860 1774673045 2839476872 3399373720 3549346090 6033888353 7098692180 12067776706 14197384360 24135553412 30169441765 48271106824 60338883530 120677767060 241355534120