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1004144240442 = 23773907361091
BaseRepresentation
bin11101001110010111010…
…10010010011100111010
310112222212112112122121210
432213023222102130322
5112422441411143232
62045144131543550
7132355426133460
oct16471352223472
93488775478553
101004144240442
113579452780a2
12142739a5abb6
13738c8a50715
143685a9c6830
151b1c04ce5cc
hexe9cba9273a

1004144240442 has 64 divisors (see below), whose sum is σ = 2329199391744. Its totient is φ = 282655474560.

The previous prime is 1004144240387. The next prime is 1004144240447. The reversal of 1004144240442 is 2440424414001.

It is a super-2 number, since 2×10041442404422 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1004144240447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2600317 + ... + 2961407.

It is an arithmetic number, because the mean of its divisors is an integer number (36393740496).

Almost surely, 21004144240442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004144240442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164599695872).

1004144240442 is an abundant number, since it is smaller than the sum of its proper divisors (1325055151302).

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

1004144240442 is a wasteful number, since it uses less digits than its factorization.

1004144240442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362083.

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 1004144240442 its reverse (2440424414001), we get a palindrome (3444568654443).

The spelling of 1004144240442 in words is "one trillion, four billion, one hundred forty-four million, two hundred forty thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 73 146 219 438 511 907 1022 1533 1814 2721 3066 5442 6349 12698 19047 38094 66211 132422 198633 361091 397266 463477 722182 926954 1083273 1390431 2166546 2527637 2780862 5055274 7582911 15165822 26359643 52719286 79078929 158157858 184517501 327509537 369035002 553552503 655019074 982528611 1107105006 1965057222 2292566759 4585133518 6877700277 13755400554 23908196201 47816392402 71724588603 143449177206 167357373407 334714746814 502072120221 1004144240442