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103304144000000 = 210566456509
BaseRepresentation
bin10111011111010001011110…
…110011101001010000000000
3111112202210001102011211210102
4113133101132303221100000
5102020013341331000000
61003413134003421532
730521322663555446
oct2737213663512000
9445683042154712
10103304144000000
112aa09050177739
12b7050509848a8
1345847011a4048
141b71d39366b96
15be22a03de3d5
hex5df45ece9400

103304144000000 has 154 divisors (see below), whose sum is σ = 258130992170070. Its totient is φ = 41321651200000.

The previous prime is 103304143999999. The next prime is 103304144000087. The reversal of 103304144000000 is 441403301.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 93149367537664 + 10154776462336 = 9651392^2 + 3186656^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 12771746 + ... + 19228254.

Almost surely, 2103304144000000 is an apocalyptic number.

103304144000000 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 103304144000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129065496085035).

103304144000000 is an abundant number, since it is smaller than the sum of its proper divisors (154826848170070).

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

103304144000000 is an frugal number, since it uses more digits than its factorization.

103304144000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6456559 (or 6456516 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 103304144000000 its reverse (441403301), we get a palindrome (103304585403301).

The spelling of 103304144000000 in words is "one hundred three trillion, three hundred four billion, one hundred forty-four million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 5120 6250 6400 8000 10000 12500 12800 15625 16000 20000 25000 25600 31250 32000 40000 50000 62500 64000 80000 100000 125000 128000 160000 200000 250000 320000 400000 500000 640000 800000 1000000 1600000 2000000 3200000 4000000 6456509 8000000 12913018 16000000 25826036 32282545 51652072 64565090 103304144 129130180 161412725 206608288 258260360 322825450 413216576 516520720 645650900 807063625 826433152 1033041440 1291301800 1614127250 1652866304 2066082880 2582603600 3228254500 3305732608 4035318125 4132165760 5165207200 6456509000 6611465216 8070636250 8264331520 10330414400 12913018000 16141272500 16528663040 20176590625 20660828800 25826036000 32282545000 33057326080 40353181250 41321657600 51652072000 64565090000 80706362500 82643315200 100882953125 103304144000 129130180000 161412725000 165286630400 201765906250 206608288000 258260360000 322825450000 403531812500 413216576000 516520720000 645650900000 807063625000 826433152000 1033041440000 1291301800000 1614127250000 2066082880000 2582603600000 3228254500000 4132165760000 5165207200000 6456509000000 10330414400000 12913018000000 20660828800000 25826036000000 51652072000000 103304144000000