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1014332001444 = 223250955355381
BaseRepresentation
bin11101100001010101110…
…01100000110010100100
310120222011112121112102100
432300222321200302210
5113104322443021234
62053551103012100
7133166043516546
oct16605271406244
93528145545370
101014332001444
113611a2a75793
1214470189a030
13748605cb478
1437145a63696
151b5b9aca399
hexec2ae60ca4

1014332001444 has 36 divisors (see below), whose sum is σ = 2569043278620. Its totient is φ = 337446396480.

The previous prime is 1014332001313. The next prime is 1014332001451. The reversal of 1014332001444 is 4441002334101.

1014332001444 is a `hidden beast` number, since 1 + 0 + 14 + 3 + 3 + 200 + 1 + 444 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 300117708900 + 714214292544 = 547830^2 + 845112^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27659367 + ... + 27696014.

It is an arithmetic number, because the mean of its divisors is an integer number (71362313295).

Almost surely, 21014332001444 is an apocalyptic number.

It is an amenable number.

1014332001444 is an abundant number, since it is smaller than the sum of its proper divisors (1554711277176).

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

1014332001444 is a wasteful number, since it uses less digits than its factorization.

1014332001444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55355900 (or 55355895 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1014332001444 its reverse (4441002334101), we get a palindrome (5455334335545).

The spelling of 1014332001444 in words is "one trillion, fourteen billion, three hundred thirty-two million, one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 509 1018 1527 2036 3054 4581 6108 9162 18324 55355381 110710762 166066143 221421524 332132286 498198429 664264572 996396858 1992793716 28175888929 56351777858 84527666787 112703555716 169055333574 253583000361 338110667148 507166000722 1014332001444