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12354301040 = 245317170163
BaseRepresentation
bin10111000000101111…
…11010110001110000
31011212222210112000012
423200113322301300
5200300200113130
65401523314052
7615102553244
oct134027726160
934788715005
1012354301040
11526a754254
12248951b928
13121b695603
14852ac8424
154c4908995
hex2e05fac70

12354301040 has 80 divisors (see below), whose sum is σ = 30068361216. Its totient is φ = 4714886400.

The previous prime is 12354301027. The next prime is 12354301079. The reversal of 12354301040 is 4010345321.

12354301040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 12354300997 and 12354301015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140999 + ... + 211161.

Almost surely, 212354301040 is an apocalyptic number.

12354301040 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 12354301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15034180608).

12354301040 is an abundant number, since it is smaller than the sum of its proper divisors (17714060176).

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

12354301040 is a wasteful number, since it uses less digits than its factorization.

12354301040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70278 (or 70272 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 12354301040 its reverse (4010345321), we get a palindrome (16364646361).

The spelling of 12354301040 in words is "twelve billion, three hundred fifty-four million, three hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 71 80 124 142 155 248 284 310 355 496 568 620 710 1136 1240 1420 2201 2480 2840 4402 5680 8804 11005 17608 22010 35216 44020 70163 88040 140326 176080 280652 350815 561304 701630 1122608 1403260 2175053 2806520 4350106 4981573 5613040 8700212 9963146 10875265 17400424 19926292 21750530 24907865 34800848 39852584 43501060 49815730 79705168 87002120 99631460 154428763 174004240 199262920 308857526 398525840 617715052 772143815 1235430104 1544287630 2470860208 3088575260 6177150520 12354301040