Search a number
-
+
123411053424060 = 2232510122133067459
BaseRepresentation
bin11100000011110111100000…
…000000000010110110111100
3121011221222111111120210122200
4130003313200000002312330
5112133431314134032220
61114250131045511500
734665103643663343
oct3403674000026674
9534858444523580
10123411053424060
113636037437a396
1211a11a80112590
1353b27c65a92cc
1422691ac144b5a
15e40310d86890
hex703de0002dbc

123411053424060 has 144 divisors (see below), whose sum is σ = 378224222856480. Its totient is φ = 32569042060800.

The previous prime is 123411053424031. The next prime is 123411053424077. The reversal of 123411053424060 is 60424350114321.

123411053424060 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 110 + 534 + 2 + 4 + 0 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38698611 + ... + 41766069.

It is an arithmetic number, because the mean of its divisors is an integer number (2626557103170).

Almost surely, 2123411053424060 is an apocalyptic number.

123411053424060 is a gapful number since it is divisible by the number (10) 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 123411053424060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189112111428240).

123411053424060 is an abundant number, since it is smaller than the sum of its proper divisors (254813169432420).

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

123411053424060 is a wasteful number, since it uses less digits than its factorization.

123411053424060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3069788 (or 3069783 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 123411053424060 in words is "one hundred twenty-three trillion, four hundred eleven billion, fifty-three million, four hundred twenty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 2213 3030 3636 4426 4545 6060 6639 8852 9090 11065 13278 18180 19917 22130 26556 33195 39834 44260 66390 79668 99585 132780 199170 223513 398340 447026 670539 894052 1117565 1341078 2011617 2235130 2682156 3067459 3352695 4023234 4470260 6134918 6705390 8046468 9202377 10058085 12269836 13410780 15337295 18404754 20116170 27607131 30674590 36809508 40232340 46011885 55214262 61349180 92023770 110428524 138035655 184047540 276071310 309813359 552142620 619626718 929440077 1239253436 1549066795 1858880154 2788320231 3098133590 3717760308 4647200385 5576640462 6196267180 6788286767 9294400770 11153280924 13576573534 13941601155 18588801540 20364860301 27153147068 27883202310 33941433835 40729720602 55766404620 61094580903 67882867670 81459441204 101824301505 122189161806 135765735340 203648603010 244378323612 305472904515 407297206020 610945809030 685616963467 1221891618060 1371233926934 2056850890401 2742467853868 3428084817335 4113701780802 6170552671203 6856169634670 8227403561604 10284254452005 12341105342406 13712339269340 20568508904010 24682210684812 30852763356015 41137017808020 61705526712030 123411053424060