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2003442413140 = 225732111384109
BaseRepresentation
bin11101001001110110011…
…110010010111001010100
321002112020100100120001001
4131021312132102321110
5230311022224210030
64132211351513044
7264513112351000
oct35116636227124
97075210316031
102003442413140
11702723015823
12284344988784
13116c017ba21c
146cd77b3b700
15371aa311cca
hex1d276792e54

2003442413140 has 96 divisors (see below), whose sum is σ = 4929646176000. Its totient is φ = 683638623360.

The previous prime is 2003442413131. The next prime is 2003442413177. The reversal of 2003442413140 is 413142443002.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2003442413099 and 2003442413108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 755406 + ... + 2139514.

It is an arithmetic number, because the mean of its divisors is an integer number (51350481000).

Almost surely, 22003442413140 is an apocalyptic number.

2003442413140 is a gapful number since it is divisible by the number (20) 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 2003442413140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464823088000).

2003442413140 is an abundant number, since it is smaller than the sum of its proper divisors (2926203762860).

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

2003442413140 is a wasteful number, since it uses less digits than its factorization.

2003442413140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384350 (or 1384334 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 2003442413140 its reverse (413142443002), we get a palindrome (2416584856142).

The spelling of 2003442413140 in words is "two trillion, three billion, four hundred forty-two million, four hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 211 245 343 422 490 686 844 980 1055 1372 1477 1715 2110 2954 3430 4220 5908 6860 7385 10339 14770 20678 29540 41356 51695 72373 103390 144746 206780 289492 361865 723730 1384109 1447460 2768218 5536436 6920545 9688763 13841090 19377526 27682180 38755052 48443815 67821341 96887630 135642682 193775260 271285364 292046999 339106705 474749387 584093998 678213410 949498774 1168187996 1356426820 1460234995 1898997548 2044328993 2373746935 2920469990 4088657986 4747493870 5840939980 8177315972 9494987740 10221644965 14310302951 20443289930 28620605902 40886579860 57241211804 71551514755 100172120657 143103029510 200344241314 286206059020 400688482628 500860603285 1001721206570 2003442413140