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144366194000 = 2453731332641
BaseRepresentation
bin1000011001110011100…
…1010100110101010000
3111210122010110111221002
42012130321110311100
54331130221202000
6150153152321132
713300346254610
oct2063471246520
9453563414832
10144366194000
1156252a53336
1223b8bb431a8
13107c9319842
146db7466a40
153b4e1cd8d5
hex219ce54d50

144366194000 has 160 divisors (see below), whose sum is σ = 411816118272. Its totient is φ = 47900160000.

The previous prime is 144366193987. The next prime is 144366194017. The reversal of 144366194000 is 491663441.

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 31 ways as a sum of consecutive naturals, for example, 267680 + ... + 600320.

Almost surely, 2144366194000 is an apocalyptic number.

144366194000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144366194000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205908059136).

144366194000 is an abundant number, since it is smaller than the sum of its proper divisors (267449924272).

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

144366194000 is a wasteful number, since it uses less digits than its factorization.

144366194000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332702 (or 332686 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 144366194000 in words is "one hundred forty-four billion, three hundred sixty-six million, one hundred ninety-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 31 35 40 50 56 62 70 80 100 112 124 125 140 155 175 200 217 248 250 280 310 350 400 434 496 500 560 620 700 775 868 875 1000 1085 1240 1400 1550 1736 1750 2000 2170 2480 2800 3100 3472 3500 3875 4340 5425 6200 7000 7750 8680 10850 12400 14000 15500 17360 21700 27125 31000 43400 54250 62000 86800 108500 217000 332641 434000 665282 1330564 1663205 2328487 2661128 3326410 4656974 5322256 6652820 8316025 9313948 10311871 11642435 13305640 16632050 18627896 20623742 23284870 26611280 33264100 37255792 41247484 41580125 46569740 51559355 58212175 66528200 72183097 82494968 83160250 93139480 103118710 116424350 133056400 144366194 164989936 166320500 186278960 206237420 232848700 257796775 288732388 291060875 332641000 360915485 412474840 465697400 515593550 577464776 582121750 665282000 721830970 824949680 931394800 1031187100 1154929552 1164243500 1288983875 1443661940 1804577425 2062374200 2328487000 2577967750 2887323880 3609154850 4124748400 4656974000 5155935500 5774647760 7218309700 9022887125 10311871000 14436619400 18045774250 20623742000 28873238800 36091548500 72183097000 144366194000