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13152324240 = 2433511553549
BaseRepresentation
bin11000011111111000…
…01000101010010000
31020221121102022001000
430033330020222100
5203413443333430
610013031542000
7643632624426
oct141774105220
936847368030
1013152324240
11563a164960
12267082a900
131317b057a3
148caa9b116
1551e9dee60
hex30ff08a90

13152324240 has 160 divisors (see below), whose sum is σ = 49420944000. Its totient is φ = 3188436480.

The previous prime is 13152324217. The next prime is 13152324247. The reversal of 13152324240 is 4242325131.

13152324240 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 232 + 424 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13152324247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253015 + ... + 300534.

It is an arithmetic number, because the mean of its divisors is an integer number (308880900).

Almost surely, 213152324240 is an apocalyptic number.

13152324240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13152324240 is an abundant number, since it is smaller than the sum of its proper divisors (36268619760).

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

13152324240 is a wasteful number, since it uses less digits than its factorization.

13152324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553582 (or 553570 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 13152324240 its reverse (4242325131), we get a palindrome (17394649371).

The spelling of 13152324240 in words is "thirteen billion, one hundred fifty-two million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4752 5940 7920 11880 23760 553549 1107098 1660647 2214196 2767745 3321294 4428392 4981941 5535490 6089039 6642588 8303235 8856784 9963882 11070980 12178078 13285176 14945823 16606470 18267117 19927764 22141960 24356156 24909705 26570352 29891646 30445195 33212940 36534234 39855528 44283920 48712312 49819410 54801351 59783292 60890390 66425880 73068468 74729115 79711056 91335585 97424624 99638820 109602702 119566584 121780780 132851760 146136936 149458230 164404053 182671170 199277640 219205404 239133168 243561560 274006755 292273872 298916460 328808106 365342340 398555280 438410808 487123120 548013510 597832920 657616212 730684680 822020265 876821616 1096027020 1195665840 1315232424 1461369360 1644040530 2192054040 2630464848 3288081060 4384108080 6576162120 13152324240