Search a number
-
+
24045123130320 = 2435106993721247
BaseRepresentation
bin1010111011110011100010…
…00001011101001111010000
310011010200122222021201200210
411131321301001131033100
511122423403010132240
6123050102125244120
75031126365222565
oct535716101351720
9104120588251623
1024045123130320
117730530174346
122844133103640
1310555a3672286
145d1b0c31c86c
152ba7074a2780
hex15de7105d3d0

24045123130320 has 80 divisors (see below), whose sum is σ = 74609611107840. Its totient is φ = 6406034606592.

The previous prime is 24045123130279. The next prime is 24045123130411. The reversal of 24045123130320 is 2303132154042.

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

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

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, 46604064 + ... + 47117183.

It is an arithmetic number, because the mean of its divisors is an integer number (932620138848).

Almost surely, 224045123130320 is an apocalyptic number.

24045123130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24045123130320 is an abundant number, since it is smaller than the sum of its proper divisors (50564487977520).

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

24045123130320 is a wasteful number, since it uses less digits than its factorization.

24045123130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93722332 (or 93722326 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 24045123130320 its reverse (2303132154042), we get a palindrome (26348255284362).

The spelling of 24045123130320 in words is "twenty-four trillion, forty-five billion, one hundred twenty-three million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1069 2138 3207 4276 5345 6414 8552 10690 12828 16035 17104 21380 25656 32070 42760 51312 64140 85520 128280 256560 93721247 187442494 281163741 374884988 468606235 562327482 749769976 937212470 1124654964 1405818705 1499539952 1874424940 2249309928 2811637410 3748849880 4498619856 5623274820 7497699760 11246549640 22493099280 100188013043 200376026086 300564039129 400752052172 500940065215 601128078258 801504104344 1001880130430 1202256156516 1502820195645 1603008208688 2003760260860 2404512313032 3005640391290 4007520521720 4809024626064 6011280782580 8015041043440 12022561565160 24045123130320