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1003424452000 = 2553275391121
BaseRepresentation
bin11101001101000001100…
…00100000110110100000
310112221000101010121111121
432212200300200312200
5112420003124431000
62044544500222024
7132331536054055
oct16464060406640
93487011117447
101003424452000
11357605a42413
1214257899a914
13738128a32b9
14367cd17b02c
151b17c1edb1a
hexe9a0c20da0

1003424452000 has 96 divisors (see below), whose sum is σ = 2466336482064. Its totient is φ = 401219584000.

The previous prime is 1003424451943. The next prime is 1003424452003. The reversal of 1003424452000 is 2544243001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 336673815696 + 666750636304 = 580236^2 + 816548^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1003424452003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10966440 + ... + 11057560.

Almost surely, 21003424452000 is an apocalyptic number.

1003424452000 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 1003424452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233168241032).

1003424452000 is an abundant number, since it is smaller than the sum of its proper divisors (1462912030064).

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

1003424452000 is an equidigital number, since it uses as much as digits as its factorization.

1003424452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93899 (or 93881 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 1003424452000 its reverse (2544243001), we get a palindrome (1005968695001).

The spelling of 1003424452000 in words is "one trillion, three billion, four hundred twenty-four million, four hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 2753 4000 5506 11012 13765 22024 27530 44048 55060 68825 88096 91121 110120 137650 182242 220240 275300 344125 364484 440480 455605 550600 688250 728968 911210 1101200 1376500 1457936 1822420 2202400 2278025 2753000 2915872 3644840 4556050 5506000 7289680 9112100 11012000 11390125 14579360 18224200 22780250 36448400 45560500 72896800 91121000 182242000 250856113 364484000 501712226 1003424452 1254280565 2006848904 2508561130 4013697808 5017122260 6271402825 8027395616 10034244520 12542805650 20068489040 25085611300 31357014125 40136978080 50171222600 62714028250 100342445200 125428056500 200684890400 250856113000 501712226000 1003424452000