Search a number
-
+
144112034440 = 23511541605411
BaseRepresentation
bin1000011000110110111…
…1110010001010001000
3111202222102012212120001
42012031233302022020
54330120140100230
6150112033012344
713261142036623
oct2061557621210
9452872185501
10144112034440
1156132539510
1223b1a9b40b4
131078877ba7a
146d917c6dba
153b36c270ca
hex218dbf2288

144112034440 has 64 divisors (see below), whose sum is σ = 354383968320. Its totient is φ = 52307424000.

The previous prime is 144112034419. The next prime is 144112034501. The reversal of 144112034440 is 44430211441.

It is a super-2 number, since 2×1441120344402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144112034399 and 144112034408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64666 + ... + 540745.

It is an arithmetic number, because the mean of its divisors is an integer number (5537249505).

Almost surely, 2144112034440 is an apocalyptic number.

144112034440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144112034440 is an abundant number, since it is smaller than the sum of its proper divisors (210271933880).

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

144112034440 is a wasteful number, since it uses less digits than its factorization.

144112034440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605974 (or 605970 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 144112034440 its reverse (44430211441), we get a palindrome (188542245881).

The spelling of 144112034440 in words is "one hundred forty-four billion, one hundred twelve million, thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 541 1082 2164 2705 4328 5410 5951 10820 11902 21640 23804 29755 47608 59510 119020 238040 605411 1210822 2421644 3027055 4843288 6054110 6659521 12108220 13319042 24216440 26638084 33297605 53276168 66595210 133190420 266380840 327527351 655054702 1310109404 1637636755 2620218808 3275273510 3602800861 6550547020 7205601722 13101094040 14411203444 18014004305 28822406888 36028008610 72056017220 144112034440