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1444311404114 = 2131139197320101
BaseRepresentation
bin10101000001000111101…
…010110000111001010010
312010002000112201100120012
4111001013222300321102
5142130422204412424
63023301341514522
7206230245242105
oct25010752607122
95102015640505
101444311404114
11507590153027
121b3b00b72a42
13a6275c6c617
144dc9562c73c
15278833ceb0e
hex15047ab0e52

1444311404114 has 32 divisors (see below), whose sum is σ = 2199933933120. Its totient is φ = 711091368000.

The previous prime is 1444311404111. The next prime is 1444311404131. The reversal of 1444311404114 is 4114041134441.

It is a super-3 number, since 3×14443114041143 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1444311404111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71842664 + ... + 71862764.

It is an arithmetic number, because the mean of its divisors is an integer number (68747935410).

Almost surely, 21444311404114 is an apocalyptic number.

1444311404114 is a deficient number, since it is larger than the sum of its proper divisors (755622529006).

1444311404114 is a wasteful number, since it uses less digits than its factorization.

1444311404114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22346.

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 1444311404114 its reverse (4114041134441), we get a palindrome (5558352538555).

The spelling of 1444311404114 in words is "one trillion, four hundred forty-four billion, three hundred eleven million, four hundred four thousand, one hundred fourteen".

Divisors: 1 2 131 139 262 278 1973 3946 18209 20101 36418 40202 258463 274247 516926 548494 2633231 2794039 5266462 5588078 35926357 39659273 71852714 79318546 366019109 732038218 5195364763 5512638947 10390729526 11025277894 722155702057 1444311404114