Search a number
-
+
144466522453160 = 2355154297007101
BaseRepresentation
bin100000110110010000111011…
…110000001011010010101000
3200221111212100100020100221122
4200312100323300023102220
5122413414414222000120
61231131000524154412
742300235046520305
oct4066207360132250
9627455310210848
10144466522453160
11420389a9765926
12142526b6098a08
13627c19998738b
1427963076100ac
1511a7d8c02ba25
hex83643bc0b4a8

144466522453160 has 32 divisors (see below), whose sum is σ = 325050352547400. Its totient is φ = 57786488620800.

The previous prime is 144466522453159. The next prime is 144466522453241. The reversal of 144466522453160 is 61354225664441.

144466522453160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 102227103790564 + 42239418662596 = 10110742^2 + 6499186^2 .

It is a super-2 number, since 2×1444665224531602 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17113610 + ... + 24120710.

Almost surely, 2144466522453160 is an apocalyptic number.

144466522453160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144466522453160 is an abundant number, since it is smaller than the sum of its proper divisors (180583830094240).

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

144466522453160 is a wasteful number, since it uses less digits than its factorization.

144466522453160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7522541 (or 7522537 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 53.

The spelling of 144466522453160 in words is "one hundred forty-four trillion, four hundred sixty-six billion, five hundred twenty-two million, four hundred fifty-three thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 515429 1030858 2061716 2577145 4123432 5154290 7007101 10308580 14014202 20617160 28028404 35035505 56056808 70071010 140142020 280284040 3611663061329 7223326122658 14446652245316 18058315306645 28893304490632 36116630613290 72233261226580 144466522453160