Search a number
-
+
2145144045051 = 327210148161111
BaseRepresentation
bin11111001101110100100…
…011000111110111111011
321121001222202222021221100
4133031310203013313323
5240121223333420201
64321244321342443
7310660445350200
oct37156443076773
97531882867840
102145144045051
11757828987127
122a78b0497a23
13127394a7a4b7
1475b7b357ca7
153ac0060a886
hex1f3748c7dfb

2145144045051 has 36 divisors (see below), whose sum is σ = 3640113167184. Its totient is φ = 1213659972000.

The previous prime is 2145144045047. The next prime is 2145144045061. The reversal of 2145144045051 is 1505404415412.

2145144045051 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 144 + 0 + 4 + 505 + 1 = 666.

It is not a de Polignac number, because 2145144045051 - 22 = 2145144045047 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2145144044997 and 2145144045015.

It is not an unprimeable number, because it can be changed into a prime (2145144045001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24036015 + ... + 24125096.

It is an arithmetic number, because the mean of its divisors is an integer number (101114254644).

Almost surely, 22145144045051 is an apocalyptic number.

2145144045051 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2145144045051 is a deficient number, since it is larger than the sum of its proper divisors (1494969122133).

2145144045051 is a wasteful number, since it uses less digits than its factorization.

2145144045051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48161232 (or 48161222 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 2145144045051 in words is "two trillion, one hundred forty-five billion, one hundred forty-four million, forty-five thousand, fifty-one".

Divisors: 1 3 7 9 21 49 63 101 147 303 441 707 909 2121 4949 6363 14847 44541 48161111 144483333 337127777 433449999 1011383331 2359894439 3034149993 4864272211 7079683317 14592816633 21239049951 34049905477 43778449899 102149716431 238349338339 306449149293 715048015017 2145144045051