Search a number
-
+
1414650161152 = 21110313151193
BaseRepresentation
bin10100100101011111101…
…110000110100000000000
312000020110101212002111001
4110211133232012200000
5141134200420124102
63001514210301344
7204130230653104
oct24453756064000
95006411762431
101414650161152
114a5a4a155198
121aa203587854
13a3529b25197
144c6801a5904
1526be93bd487
hex1495fb86800

1414650161152 has 96 divisors (see below), whose sum is σ = 2877930095040. Its totient is φ = 695097262080.

The previous prime is 1414650161129. The next prime is 1414650161173. The reversal of 1414650161152 is 2511610564141.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27608068 + ... + 27659260.

It is an arithmetic number, because the mean of its divisors is an integer number (29978438490).

Almost surely, 21414650161152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414650161152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438965047520).

1414650161152 is an abundant number, since it is smaller than the sum of its proper divisors (1463279933888).

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

1414650161152 is a wasteful number, since it uses less digits than its factorization.

1414650161152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51449 (or 51429 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The spelling of 1414650161152 in words is "one trillion, four hundred fourteen billion, six hundred fifty million, one hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 103 128 131 206 256 262 412 512 524 824 1024 1048 1648 2048 2096 3296 4192 6592 8384 13184 13493 16768 26368 26986 33536 51193 52736 53972 67072 102386 105472 107944 134144 204772 210944 215888 268288 409544 431776 819088 863552 1638176 1727104 3276352 3454208 5272879 6552704 6706283 6908416 10545758 13105408 13412566 13816832 21091516 26210816 26825132 27633664 42183032 52421632 53650264 84366064 104843264 107300528 168732128 214601056 337464256 429202112 674928512 690747149 858404224 1349857024 1381494298 1716808448 2699714048 2762988596 3433616896 5399428096 5525977192 6867233792 10798856192 11051954384 13734467584 22103908768 44207817536 88415635072 176831270144 353662540288 707325080576 1414650161152