Search a number
-
+
1278013241120 = 255721114819263
BaseRepresentation
bin10010100110001111100…
…001100111011100100000
311112011202221101101011012
4102212033201213130200
5131414332342203440
62415040003040052
7161222234211500
oct22461741473440
94464687341135
101278013241120
1145300317a890
12187830070028
1393692c30345
1445bdb493a00
152339da5ee65
hex1298f867720

1278013241120 has 144 divisors (see below), whose sum is σ = 3831550345728. Its totient is φ = 398341762560.

The previous prime is 1278013241077. The next prime is 1278013241123. The reversal of 1278013241120 is 211423108721.

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

It is not an unprimeable number, because it can be changed into a prime (1278013241123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7323392 + ... + 7495871.

It is an arithmetic number, because the mean of its divisors is an integer number (26607988512).

Almost surely, 21278013241120 is an apocalyptic number.

1278013241120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1278013241120 is an abundant number, since it is smaller than the sum of its proper divisors (2553537104608).

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

1278013241120 is a wasteful number, since it uses less digits than its factorization.

1278013241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14819303 (or 14819288 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

Adding to 1278013241120 its reverse (211423108721), we get a palindrome (1489436349841).

The spelling of 1278013241120 in words is "one trillion, two hundred seventy-eight billion, thirteen million, two hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 49 55 56 70 77 80 88 98 110 112 140 154 160 176 196 220 224 245 280 308 352 385 392 440 490 539 560 616 770 784 880 980 1078 1120 1232 1540 1568 1760 1960 2156 2464 2695 3080 3920 4312 5390 6160 7840 8624 10780 12320 17248 21560 43120 86240 14819263 29638526 59277052 74096315 103734841 118554104 148192630 163011893 207469682 237108208 296385260 326023786 414939364 474216416 518674205 592770520 652047572 726143887 815059465 829878728 1037348410 1141083251 1185541040 1304095144 1452287774 1630118930 1659757456 2074696820 2282166502 2371082080 2608190288 2904575548 3260237860 3319514912 3630719435 4149393640 4564333004 5216380576 5705416255 5809151096 6520475720 7261438870 7987582757 8298787280 9128666008 11410832510 11618302192 13040951440 14522877740 15975165514 16597574560 18257332016 22821665020 23236604384 26081902880 29045755480 31950331028 36514664032 39937913785 45643330040 58091510960 63900662056 79875827570 91286660080 116183021920 127801324112 159751655140 182573320160 255602648224 319503310280 639006620560 1278013241120