Search a number
-
+
141283978038280 = 235711192414285339
BaseRepresentation
bin100000000111111100111101…
…010100101100110000001000
3200112020121122100110000012201
4200013330331110230300020
5122004244041334211110
61220252544040245544
741521300453401010
oct4007747524546010
9615217570400181
10141283978038280
1141021220378460
1213a199464708b4
1360ab0393325cc
1426c6276a28c40
1511501c1a2db3a
hex807f3d52cc08

141283978038280 has 128 divisors (see below), whose sum is σ = 417188506752000. Its totient is φ = 41718850640640.

The previous prime is 141283978038239. The next prime is 141283978038289. The reversal of 141283978038280 is 82830879382141.

It is a super-2 number, since 2×1412839780382802 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (141283978038289) 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, 1207084150 + ... + 1207201189.

It is an arithmetic number, because the mean of its divisors is an integer number (3259285209000).

Almost surely, 2141283978038280 is an apocalyptic number.

141283978038280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141283978038280 is an abundant number, since it is smaller than the sum of its proper divisors (275904528713720).

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

141283978038280 is a wasteful number, since it uses less digits than its factorization.

141283978038280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414285387 (or 2414285383 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 64.

The spelling of 141283978038280 in words is "one hundred forty-one trillion, two hundred eighty-three billion, nine hundred seventy-eight million, thirty-eight thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 19 20 22 28 35 38 40 44 55 56 70 76 77 88 95 110 133 140 152 154 190 209 220 266 280 308 380 385 418 440 532 616 665 760 770 836 1045 1064 1330 1463 1540 1672 2090 2660 2926 3080 4180 5320 5852 7315 8360 11704 14630 29260 58520 2414285339 4828570678 9657141356 12071426695 16899997373 19314282712 24142853390 26557138729 33799994746 45871421441 48285706780 53114277458 67599989492 84499986865 91742842882 96571413560 106228554916 132785693645 135199978984 168999973730 183485685764 185899971103 212457109832 229357107205 265571387290 321099950087 337999947460 366971371528 371799942206 458714214410 504585635851 531142774580 642199900174 675999894920 743599884412 917428428820 929499855515 1009171271702 1062285549160 1284399800348 1487199768824 1605499750435 1834856857640 1858999711030 2018342543404 2522928179255 2568799600696 3210999500870 3532099450957 3717999422060 4036685086808 5045856358510 6421999001740 7064198901914 7435998844120 10091712717020 12843998003480 14128397803828 17660497254785 20183425434040 28256795607656 35320994509570 70641989019140 141283978038280