Search a number
-
+
141216213023505 = 32519973517148413
BaseRepresentation
bin100000000110111101110110…
…001101101011101100010001
3200112000010201200121120200200
4200012331312031223230101
5122002141301013223010
61220201455505005413
741513351255311164
oct4006756615535421
9615003650546620
10141216213023505
1140aa5506830914
1213a08794023869
1360a4829c48729
1426c2c88b99adb
15114d55774acc0
hex806f7636bb11

141216213023505 has 96 divisors (see below), whose sum is σ = 260326694759040. Its totient is φ = 70612302458880.

The previous prime is 141216213023497. The next prime is 141216213023537. The reversal of 141216213023505 is 505320312612141.

141216213023505 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 1 + 621 + 3 + 0 + 23 + 5 + 0 + 5 = 666.

141216213023505 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 141216213023505 - 23 = 141216213023497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 141216213023505.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2916882679 + ... + 2916931091.

It is an arithmetic number, because the mean of its divisors is an integer number (2711736403740).

Almost surely, 2141216213023505 is an apocalyptic number.

141216213023505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

141216213023505 is a deficient number, since it is larger than the sum of its proper divisors (119110481735535).

141216213023505 is a wasteful number, since it uses less digits than its factorization.

141216213023505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83711 (or 83708 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 141216213023505 its reverse (505320312612141), we get a palindrome (646536525635646).

The spelling of 141216213023505 in words is "one hundred forty-one trillion, two hundred sixteen billion, two hundred thirteen million, twenty-three thousand, five hundred five".

Divisors: 1 3 5 9 15 19 45 57 95 97 171 285 291 485 855 873 1455 1843 4365 5529 9215 16587 27645 35171 48413 82935 105513 145239 175855 242065 316539 435717 527565 668249 726195 919847 1582695 2004747 2178585 2759541 3341245 3411587 4599235 4696061 6014241 8278623 10023735 10234761 13797705 14088183 17057935 23480305 30071205 30704283 41393115 42264549 51173805 64820153 70440915 89225159 153521415 194460459 211322745 267675477 324100765 446125795 583381377 803026431 972302295 1338377385 1702733623 2916906885 4015132155 5108200869 8513668115 15324602607 25541004345 32351938837 76623013035 97055816511 161759694185 165165161431 291167449533 485279082555 495495484293 825825807155 1455837247665 1486486452879 2477477421465 3138138067189 7432432264395 9414414201567 15690690335945 28243242604701 47072071007835 141216213023505