Search a number
-
+
140013243213440 = 2751737351172027
BaseRepresentation
bin11111110101011101011111…
…101000000010011010000000
3200100202010122122200111011212
4133311131133220002122000
5121322434110230312230
61213441110155025252
741330423455531562
oct3765353750023200
9610663578614155
10140013243213440
1140681312724543
1213853607a3b228
1360182662b9a7c
14268096a087332
15112c0ebe81895
hex7f575fa02680

140013243213440 has 128 divisors (see below), whose sum is σ = 336701706664320. Its totient is φ = 55673668915200.

The previous prime is 140013243213367. The next prime is 140013243213469. The reversal of 140013243213440 is 44312342310041.

140013243213440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 140013243213397 and 140013243213406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 813816707 + ... + 813988733.

It is an arithmetic number, because the mean of its divisors is an integer number (2630482083315).

Almost surely, 2140013243213440 is an apocalyptic number.

140013243213440 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 140013243213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168350853332160).

140013243213440 is an abundant number, since it is smaller than the sum of its proper divisors (196688463450880).

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

140013243213440 is a wasteful number, since it uses less digits than its factorization.

140013243213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179570 (or 179558 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 140013243213440 its reverse (44312342310041), we get a palindrome (184325585523481).

The spelling of 140013243213440 in words is "one hundred forty trillion, thirteen billion, two hundred forty-three million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 173 320 346 640 692 865 1384 1730 2768 3460 5536 6920 7351 11072 13840 14702 22144 27680 29404 36755 55360 58808 73510 110720 117616 147020 172027 235232 294040 344054 470464 588080 688108 860135 940928 1176160 1271723 1376216 1720270 2352320 2543446 2752432 3440540 4704640 5086892 5504864 6358615 6881080 10173784 11009728 12717230 13762160 20347568 22019456 25434460 27524320 29760671 40695136 50868920 55048640 59521342 81390272 101737840 110097280 119042684 148803355 162780544 203475680 238085368 297606710 406951360 476170736 595213420 813902720 952341472 1190426840 1264570477 1904682944 2380853680 2529140954 3809365888 4761707360 5058281908 6322852385 9523414720 10116563816 12645704770 19046829440 20233127632 25291409540 40466255264 50582819080 80932510528 101165638160 161865021056 202331276320 218770692521 404662552640 437541385042 809325105280 875082770084 1093853462605 1750165540168 2187706925210 3500331080336 4375413850420 7000662160672 8750827700840 14001324321344 17501655401680 28002648642688 35003310803360 70006621606720 140013243213440