Search a number
-
+
123141353440 = 2557300136637
BaseRepresentation
bin111001010101111001…
…0111110111111100000
3102202211221011220022011
41302223302332333200
54004143141302230
6132323110322304
711616362143150
oct1625362767740
9382757156264
10123141353440
11482510a1496
121ba47959394
13b7c5c60ca1
145d62626760
15330ab6be2a
hex1cabcbefe0

123141353440 has 96 divisors (see below), whose sum is σ = 332601522624. Its totient is φ = 42204672000.

The previous prime is 123141353399. The next prime is 123141353477. The reversal of 123141353440 is 44353141321.

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 15 ways as a sum of consecutive naturals, for example, 3342802 + ... + 3379438.

It is an arithmetic number, because the mean of its divisors is an integer number (3464599194).

Almost surely, 2123141353440 is an apocalyptic number.

123141353440 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 123141353440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166300761312).

123141353440 is an abundant number, since it is smaller than the sum of its proper divisors (209460169184).

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

123141353440 is a wasteful number, since it uses less digits than its factorization.

123141353440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39660 (or 39652 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 123141353440 its reverse (44353141321), we get a palindrome (167494494761).

The spelling of 123141353440 in words is "one hundred twenty-three billion, one hundred forty-one million, three hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 3001 6002 12004 15005 21007 24008 30010 36637 42014 48016 60020 73274 84028 96032 105035 120040 146548 168056 183185 210070 240080 256459 293096 336112 366370 420140 480160 512918 586192 672224 732740 840280 1025836 1172384 1282295 1465480 1680560 2051672 2564590 2930960 3361120 4103344 5129180 5861920 8206688 10258360 20516720 41033440 109947637 219895274 439790548 549738185 769633459 879581096 1099476370 1539266918 1759162192 2198952740 3078533836 3518324384 3848167295 4397905480 6157067672 7696334590 8795810960 12314135344 15392669180 17591621920 24628270688 30785338360 61570676720 123141353440