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2014435450144 = 25134842392909
BaseRepresentation
bin11101010100000101101…
…101011001110100100000
321010120121110200200211201
4131110011231121310200
5231001030433401034
64141230250450544
7265352405543365
oct35240555316440
97116543620751
102014435450144
11707354328177
122864b2433a54
13117c64147450
146d6dbb1846c
1537600478014
hex1d505b59d20

2014435450144 has 24 divisors (see below), whose sum is σ = 4270990546620. Its totient is φ = 929739438336.

The previous prime is 2014435450141. The next prime is 2014435450163. The reversal of 2014435450144 is 4410545344102.

It can be written as a sum of positive squares in 2 ways, for example, as 1863192240144 + 151243210000 = 1364988^2 + 388900^2 .

It is not an unprimeable number, because it can be changed into a prime (2014435450141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2421196039 + ... + 2421196870.

Almost surely, 22014435450144 is an apocalyptic number.

It is an amenable number.

2014435450144 is an abundant number, since it is smaller than the sum of its proper divisors (2256555096476).

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

2014435450144 is a wasteful number, since it uses less digits than its factorization.

2014435450144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4842392932 (or 4842392924 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 37.

The spelling of 2014435450144 in words is "two trillion, fourteen billion, four hundred thirty-five million, four hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 4842392909 9684785818 19369571636 38739143272 62951107817 77478286544 125902215634 154956573088 251804431268 503608862536 1007217725072 2014435450144