Search a number
-
+
13124204010240 = 283514341238321
BaseRepresentation
bin1011111011111011011110…
…0001001001101100000000
31201110122212100020222122220
42332332313201021230000
53210011332211311430
643525102011331040
72523123003306411
oct276766741115400
951418770228586
1013124204010240
1141aaa4201aa44
12157b685450a80
137427b7b238bb
14335301829808
1517b5cd760110
hexbefb7849b00

13124204010240 has 144 divisors (see below), whose sum is σ = 41918525216736. Its totient is φ = 3499529011200.

The previous prime is 13124204010209. The next prime is 13124204010343. The reversal of 13124204010240 is 4201040242131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13124204010240.

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, 54950280 + ... + 55188600.

Almost surely, 213124204010240 is an apocalyptic number.

13124204010240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13124204010240 is an abundant number, since it is smaller than the sum of its proper divisors (28794321206496).

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

13124204010240 is a wasteful number, since it uses less digits than its factorization.

13124204010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252686 (or 252672 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 13124204010240 its reverse (4201040242131), we get a palindrome (17325244252371).

The spelling of 13124204010240 in words is "thirteen trillion, one hundred twenty-four billion, two hundred four million, ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 14341 28682 43023 57364 71705 86046 114728 143410 172092 215115 229456 238321 286820 344184 430230 458912 476642 573640 688368 714963 860460 917824 953284 1147280 1191605 1376736 1429926 1720920 1835648 1906568 2294560 2383210 2753472 2859852 3441840 3574815 3671296 3813136 4589120 4766420 5506944 5719704 6883680 7149630 7626272 9178240 9532840 11013888 11439408 13767360 14299260 15252544 18356480 19065680 22878816 27534720 28598520 30505088 38131360 45757632 55069440 57197040 61010176 76262720 91515264 114394080 152525440 183030528 228788160 305050880 457576320 915152640 3417761461 6835522922 10253284383 13671045844 17088807305 20506568766 27342091688 34177614610 41013137532 51266421915 54684183376 68355229220 82026275064 102532843830 109368366752 136710458440 164052550128 205065687660 218736733504 273420916880 328105100256 410131375320 437473467008 546841833760 656210200512 820262750640 874946934016 1093683667520 1312420401024 1640525501280 2187367335040 2624840802048 3281051002560 4374734670080 6562102005120 13124204010240