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144212043030 = 235112940137579
BaseRepresentation
bin1000011001001110110…
…1010010010100010110
3111210020101101211112220
42012103231102110112
54330321240334110
6150130004323210
713263465066066
oct2062355222426
9453211354486
10144212043030
1156183a36440
1223b483a3506
13107a33c6453
146da0bbb3a6
153b408ce370
hex2193b52516

144212043030 has 128 divisors (see below), whose sum is σ = 391577587200. Its totient is φ = 33669888000.

The previous prime is 144212043029. The next prime is 144212043061. The reversal of 144212043030 is 30340212441.

It is a super-2 number, since 2×1442120430302 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3818781 + ... + 3856359.

It is an arithmetic number, because the mean of its divisors is an integer number (3059199900).

Almost surely, 2144212043030 is an apocalyptic number.

144212043030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144212043030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195788793600).

144212043030 is an abundant number, since it is smaller than the sum of its proper divisors (247365544170).

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

144212043030 is a wasteful number, since it uses less digits than its factorization.

144212043030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38030.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 144212043030 its reverse (30340212441), we get a palindrome (174552255471).

The spelling of 144212043030 in words is "one hundred forty-four billion, two hundred twelve million, forty-three thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 401 435 638 802 870 957 1203 1595 1914 2005 2406 3190 4010 4411 4785 6015 8822 9570 11629 12030 13233 22055 23258 26466 34887 37579 44110 58145 66165 69774 75158 112737 116290 127919 132330 174435 187895 225474 255838 348870 375790 383757 413369 563685 639595 767514 826738 1089791 1127370 1240107 1279190 1918785 2066845 2179582 2480214 3269373 3837570 4133690 5448955 6200535 6538746 10897910 11987701 12401070 15069179 16346865 23975402 30138358 32693730 35963103 45207537 59938505 71926206 75345895 90415074 119877010 150691790 165760969 179815515 226037685 331521938 359631030 437006191 452075370 497282907 828804845 874012382 994565814 1311018573 1657609690 2185030955 2486414535 2622037146 4370061910 4807068101 4972829070 6555092865 9614136202 13110185730 14421204303 24035340505 28842408606 48070681010 72106021515 144212043030