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144034012333000 = 2353144034012333
BaseRepresentation
bin100000101111111110001000…
…001001000000001111001000
3200212222111221222010210001101
4200233332020021000033020
5122334323124124124000
61230200151203231144
742224054045251666
oct4057761011001710
9625874858123041
10144034012333000
1141991533004029
12141a290b3784b4
13624a46cc2035a
14277d3d78b9c36
15119b9c647ee6a
hex82ff882403c8

144034012333000 has 32 divisors (see below), whose sum is σ = 337039588861560. Its totient is φ = 57613604932800.

The previous prime is 144034012332961. The next prime is 144034012333019. The reversal of 144034012333000 is 333210430441.

It can be written as a sum of positive squares in 4 ways, for example, as 6402306757284 + 137631705575716 = 2530278^2 + 11731654^2 .

It is a super-2 number, since 2×1440340123330002 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144034012333000.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 72017005167 + ... + 72017007166.

Almost surely, 2144034012333000 is an apocalyptic number.

144034012333000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144034012333000 is an abundant number, since it is smaller than the sum of its proper divisors (193005576528560).

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

144034012333000 is a wasteful number, since it uses less digits than its factorization.

144034012333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144034012354 (or 144034012340 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 144034012333000 its reverse (333210430441), we get a palindrome (144367222763441).

The spelling of 144034012333000 in words is "one hundred forty-four trillion, thirty-four billion, twelve million, three hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 144034012333 288068024666 576136049332 720170061665 1152272098664 1440340123330 2880680246660 3600850308325 5761360493320 7201700616650 14403401233300 18004251541625 28806802466600 36008503083250 72017006166500 144034012333000