Search a number
-
+
2541514038912 = 27322206175381
BaseRepresentation
bin100100111110111110000…
…010101001111010000000
322222222002111001020122100
4210332332002221322000
5313120010043221122
65223315550110400
7351422041614012
oct44767602517200
98888074036570
102541514038912
1189a939466152
1235068baab400
131558823309c4
148b01d39a1b2
154619d4b6aac
hex24fbe0a9e80

2541514038912 has 48 divisors (see below), whose sum is σ = 7313471391330. Its totient is φ = 847171345920.

The previous prime is 2541514038883. The next prime is 2541514038929. The reversal of 2541514038912 is 2198304151452.

2541514038912 is a `hidden beast` number, since 2 + 5 + 4 + 151 + 403 + 8 + 91 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1693891838016 + 847622200896 = 1301496^2 + 920664^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1103086539 + ... + 1103088842.

Almost surely, 22541514038912 is an apocalyptic number.

It is an amenable number.

2541514038912 is an abundant number, since it is smaller than the sum of its proper divisors (4771957352418).

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

2541514038912 is a wasteful number, since it uses less digits than its factorization.

2541514038912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206175401 (or 2206175386 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 2541514038912 in words is "two trillion, five hundred forty-one billion, five hundred fourteen million, thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2206175381 4412350762 6618526143 8824701524 13237052286 17649403048 19855578429 26474104572 35298806096 39711156858 52948209144 70597612192 79422313716 105896418288 141195224384 158844627432 211792836576 282390448768 317689254864 423585673152 635378509728 847171346304 1270757019456 2541514038912