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144012033320100 = 223521143640010097
BaseRepresentation
bin100000101111101001101010…
…000101101110010010100100
3200212220102020012202020110120
4200233221222011232102210
5122333443121012220400
61230142114220521540
742222345302603121
oct4057515205562244
9625812205666416
10144012033320100
1141983184472360
121419a5b66b02b0
136248379538b8a
14277c31083d748
15119b13bae9ca0
hex82fa6a16e4a4

144012033320100 has 72 divisors (see below), whose sum is σ = 454554345180768. Its totient is φ = 34912008076800.

The previous prime is 144012033320069. The next prime is 144012033320191. The reversal of 144012033320100 is 1023330210441.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21820001749 + ... + 21820008348.

Almost surely, 2144012033320100 is an apocalyptic number.

144012033320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144012033320100 is an abundant number, since it is smaller than the sum of its proper divisors (310542311860668).

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

144012033320100 is a wasteful number, since it uses less digits than its factorization.

144012033320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43640010125 (or 43640010118 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 144012033320100 its reverse (1023330210441), we get a palindrome (145035363530541).

The spelling of 144012033320100 in words is "one hundred forty-four trillion, twelve billion, thirty-three million, three hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 43640010097 87280020194 130920030291 174560040388 218200050485 261840060582 436400100970 480040111067 523680121164 654600151455 872800201940 960080222134 1091000252425 1309200302910 1440120333201 1920160444268 2182000504850 2400200555335 2618400605820 2880240666402 3273000757275 4364001009700 4800401110670 5760481332804 6546001514550 7200601666005 9600802221340 12001002776675 13092003029100 14401203332010 24002005553350 28802406664020 36003008330025 48004011106700 72006016660050 144012033320100