Search a number
-
+
144875333106465 = 35134631604644549
BaseRepresentation
bin100000111100001101101010…
…110001000011101100100001
3200222221221120001121022010020
4200330031222301003230201
5122442114140233401330
61232042450443224053
742341616544655223
oct4074155261035441
9628857501538106
10144875333106465
1142186313712485
12142b9987b18029
1362ab8ba77b730
1427ac0099ba413
1511b381719e210
hex83c36ac43b21

144875333106465 has 32 divisors (see below), whose sum is σ = 250170503923200. Its totient is φ = 71169194992896.

The previous prime is 144875333106431. The next prime is 144875333106479. The reversal of 144875333106465 is 564601333578441.

It is not a de Polignac number, because 144875333106465 - 227 = 144875198888737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144875333106399 and 144875333106408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802231990 + ... + 802412559.

It is an arithmetic number, because the mean of its divisors is an integer number (7817828247600).

Almost surely, 2144875333106465 is an apocalyptic number.

144875333106465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144875333106465 is a deficient number, since it is larger than the sum of its proper divisors (105295170816735).

144875333106465 is a wasteful number, since it uses less digits than its factorization.

144875333106465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604645033.

The product of its (nonzero) digits is 87091200, while the sum is 60.

The spelling of 144875333106465 in words is "one hundred forty-four trillion, eight hundred seventy-five billion, three hundred thirty-three million, one hundred six thousand, four hundred sixty-five".

Divisors: 1 3 5 13 15 39 65 195 463 1389 2315 6019 6945 18057 30095 90285 1604644549 4813933647 8023222745 20860379137 24069668235 62581137411 104301895685 312905687055 742950426187 2228851278561 3714752130935 9658355540431 11144256392805 28975066621293 48291777702155 144875333106465