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2145441040 = 24526818013
BaseRepresentation
bin111111111100000…
…1101010100010000
312112112000200211021
41333320031110100
513343213103130
6552520125224
7104110643101
oct17770152420
95475020737
102145441040
11a01055676
124ba606814
1328263b152
14164d183a8
15c854137a
hex7fe0d510

2145441040 has 20 divisors (see below), whose sum is σ = 4988150604. Its totient is φ = 858176384.

The previous prime is 2145440951. The next prime is 2145441047. The reversal of 2145441040 is 401445412.

It can be written as a sum of positive squares in 2 ways, for example, as 681001216 + 1464439824 = 26096^2 + 38268^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×21454410402 = 9205834512232563200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2145440996 and 2145441014.

It is not an unprimeable number, because it can be changed into a prime (2145441047) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13408927 + ... + 13409086.

Almost surely, 22145441040 is an apocalyptic number.

2145441040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2145441040 is an abundant number, since it is smaller than the sum of its proper divisors (2842709564).

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

2145441040 is a wasteful number, since it uses less digits than its factorization.

2145441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26818026 (or 26818020 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 2145441040 is about 46318.9058592709. The cubic root of 2145441040 is about 1289.7499745791.

Adding to 2145441040 its reverse (401445412), we get a palindrome (2546886452).

The spelling of 2145441040 in words is "two billion, one hundred forty-five million, four hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26818013 53636026 107272052 134090065 214544104 268180130 429088208 536360260 1072720520 2145441040