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2145122153040 = 24358938008971
BaseRepresentation
bin11111001101110011001…
…111100111001001010000
321121001221020210001202010
4133031303033213021100
5240121202232344130
64321242220222520
7310660061311116
oct37156317471120
97531836701663
102145122153040
11757817594359
122a78a509aa40
13127390383b49
1475b78499ab6
153abed7340b0
hex1f3733e7250

2145122153040 has 40 divisors (see below), whose sum is σ = 6649878675168. Its totient is φ = 572032574080.

The previous prime is 2145122152963. The next prime is 2145122153089. The reversal of 2145122153040 is 403512215412.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2145122152989 and 2145122153007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4469004246 + ... + 4469004725.

Almost surely, 22145122153040 is an apocalyptic number.

2145122153040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2145122153040 is an abundant number, since it is smaller than the sum of its proper divisors (4504756522128).

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

2145122153040 is a wasteful number, since it uses less digits than its factorization.

2145122153040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8938008987 (or 8938008981 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 2145122153040 its reverse (403512215412), we get a palindrome (2548634368452).

The spelling of 2145122153040 in words is "two trillion, one hundred forty-five billion, one hundred twenty-two million, one hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8938008971 17876017942 26814026913 35752035884 44690044855 53628053826 71504071768 89380089710 107256107652 134070134565 143008143536 178760179420 214512215304 268140269130 357520358840 429024430608 536280538260 715040717680 1072561076520 2145122153040