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1003423430040 = 2335131115155457
BaseRepresentation
bin11101001101000001011…
…00100111010110011000
310112221000022012200122020
432212200230213112120
5112420002344230130
62044544422254440
7132331524266433
oct16464054472630
93487008180566
101003423430040
11357605404619
12142578587420
13738126060a5
14367ccd9281a
151b17c09ae10
hexe9a0b27598

1003423430040 has 128 divisors (see below), whose sum is σ = 3035939512320. Its totient is φ = 265301504000.

The previous prime is 1003423430039. The next prime is 1003423430071. The reversal of 1003423430040 is 400343243001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18065992 + ... + 18121448.

It is an arithmetic number, because the mean of its divisors is an integer number (23718277440).

Almost surely, 21003423430040 is an apocalyptic number.

1003423430040 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 1003423430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517969756160).

1003423430040 is an abundant number, since it is smaller than the sum of its proper divisors (2032516082280).

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

1003423430040 is a wasteful number, since it uses less digits than its factorization.

1003423430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56753 (or 56749 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 1003423430040 its reverse (400343243001), we get a palindrome (1403766673041).

The spelling of 1003423430040 in words is "one trillion, three billion, four hundred twenty-three million, four hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 786 1048 1151 1310 1572 1965 2302 2620 3144 3453 3930 4604 5240 5755 6906 7860 9208 11510 13812 15720 17265 23020 27624 34530 46040 55457 69060 110914 138120 150781 166371 221828 277285 301562 332742 443656 452343 554570 603124 665484 753905 831855 904686 1109140 1206248 1330968 1507810 1663710 1809372 2218280 2261715 3015620 3327420 3618744 4523430 6031240 6654840 7264867 9046860 14529734 18093720 21794601 29059468 36324335 43589202 58118936 63831007 72648670 87178404 108973005 127662014 145297340 174356808 191493021 217946010 255324028 290594680 319155035 382986042 435892020 510648056 638310070 765972084 871784040 957465105 1276620140 1531944168 1914930210 2553240280 3829860420 7659720840 8361861917 16723723834 25085585751 33447447668 41809309585 50171171502 66894895336 83618619170 100342343004 125427928755 167237238340 200684686008 250855857510 334474476680 501711715020 1003423430040