Search a number
-
+
12040342423140 = 22351032789698557
BaseRepresentation
bin1010111100110101110001…
…0101010100011001100100
31120122001020011110112112110
42233031130111110121210
53034232110130020030
641335131300121020
72351612623652343
oct257153425243144
946561204415473
1012040342423140
11392230a452479
1214255ba396170
136945266a4695
142d8a81843b5a
1515d2e49e61b0
hexaf35c554664

12040342423140 has 96 divisors (see below), whose sum is σ = 34052522999040. Its totient is φ = 3178440976896.

The previous prime is 12040342423097. The next prime is 12040342423157. The reversal of 12040342423140 is 4132424304021.

12040342423140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 12040342423098 and 12040342423107.

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, 16886742 + ... + 17585298.

It is an arithmetic number, because the mean of its divisors is an integer number (354713781240).

Almost surely, 212040342423140 is an apocalyptic number.

12040342423140 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 12040342423140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17026261499520).

12040342423140 is an abundant number, since it is smaller than the sum of its proper divisors (22012180575900).

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

12040342423140 is a wasteful number, since it uses less digits than its factorization.

12040342423140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701461 (or 701459 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 12040342423140 its reverse (4132424304021), we get a palindrome (16172766727161).

The spelling of 12040342423140 in words is "twelve trillion, forty billion, three hundred forty-two million, four hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 1030 1236 1545 2060 2789 3090 5578 6180 8367 11156 13945 16734 27890 33468 41835 55780 83670 167340 287267 574534 698557 861801 1149068 1397114 1436335 1723602 2095671 2794228 2872670 3447204 3492785 4191342 4309005 5745340 6985570 8382684 8618010 10478355 13971140 17236020 20956710 41913420 71951371 143902742 215854113 287805484 359756855 431708226 719513710 863416452 1079270565 1439027420 1948275473 2158541130 3896550946 4317082260 5844826419 7793101892 9741377365 11689652838 19482754730 23379305676 29224132095 38965509460 58448264190 116896528380 200672373719 401344747438 602017121157 802689494876 1003361868595 1204034242314 2006723737190 2408068484628 3010085605785 4013447474380 6020171211570 12040342423140