Search a number
-
+
123413140312 = 237112947146989
BaseRepresentation
bin111001011101111111…
…1110001001101011000
3102210112212121002210121
41302323333301031120
54010222230442222
6132410055523024
711626202245540
oct1627377611530
9383485532717
10123413140312
1148380555a40
121bb02989474
13b83a361217
145d8a774320
1533249565c7
hex1cbbff1358

123413140312 has 128 divisors (see below), whose sum is σ = 304798464000. Its totient is φ = 45436930560.

The previous prime is 123413140297. The next prime is 123413140343. The reversal of 123413140312 is 213041314321.

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 31 ways as a sum of consecutive naturals, for example, 766114 + ... + 913102.

It is an arithmetic number, because the mean of its divisors is an integer number (2381238000).

Almost surely, 2123413140312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123413140312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152399232000).

123413140312 is an abundant number, since it is smaller than the sum of its proper divisors (181385323688).

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

123413140312 is a wasteful number, since it uses less digits than its factorization.

123413140312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147089 (or 147085 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 123413140312 its reverse (213041314321), we get a palindrome (336454454633).

The spelling of 123413140312 in words is "one hundred twenty-three billion, four hundred thirteen million, one hundred forty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 29 44 47 56 58 77 88 94 116 154 188 203 232 308 319 329 376 406 517 616 638 658 812 1034 1276 1316 1363 1624 2068 2233 2552 2632 2726 3619 4136 4466 5452 7238 8932 9541 10904 14476 14993 17864 19082 28952 29986 38164 59972 76328 104951 119944 146989 209902 293978 419804 587956 839608 1028923 1175912 1616879 2057846 3233758 4115692 4262681 6467516 6908483 8231384 8525362 11318153 12935032 13816966 17050724 22636306 27633932 29838767 34101448 45272612 46889491 48359381 55267864 59677534 75993313 90545224 93778982 96718762 119355068 151986626 187557964 193437524 200346007 238710136 303973252 328226437 375115928 386875048 400692014 531953191 607946504 656452874 801384028 1063906382 1312905748 1402422049 1602768056 2127812764 2203806077 2625811496 2804844098 4255625528 4407612154 5609688196 8815224308 11219376392 15426642539 17630448616 30853285078 61706570156 123413140312