Search a number
-
+
1020002344424 = 23731409263819
BaseRepresentation
bin11101101011111001110…
…00001001110111101000
310121111210201100210200022
432311330320021313220
5113202431100010144
62100325502100012
7133456415606000
oct16657470116750
93544721323608
101020002344424
11363642806358
1214582487a608
13752552b45bb
1437522b7d000
151b7ec7e6cee
hexed7ce09de8

1020002344424 has 64 divisors (see below), whose sum is σ = 2231917200000. Its totient is φ = 436831954944.

The previous prime is 1020002344349. The next prime is 1020002344451. The reversal of 1020002344424 is 4244432000201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1020002344393 and 1020002344402.

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 15 ways as a sum of consecutive naturals, for example, 3734387 + ... + 3998205.

It is an arithmetic number, because the mean of its divisors is an integer number (34873706250).

Almost surely, 21020002344424 is an apocalyptic number.

1020002344424 is a gapful number since it is divisible by the number (14) 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 1020002344424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115958600000).

1020002344424 is an abundant number, since it is smaller than the sum of its proper divisors (1211914855576).

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

1020002344424 is a wasteful number, since it uses less digits than its factorization.

1020002344424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265255 (or 265237 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 1020002344424 its reverse (4244432000201), we get a palindrome (5264434344625).

The spelling of 1020002344424 in words is "one trillion, twenty billion, two million, three hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 1372 1409 2744 2818 5636 9863 11272 19726 39452 69041 78904 138082 263819 276164 483287 527638 552328 966574 1055276 1846733 1933148 2110552 3693466 3866296 7386932 12927131 14773864 25854262 51708524 90489917 103417048 180979834 361959668 371720971 723919336 743441942 1486883884 2602046797 2973767768 5204093594 10408187188 18214327579 20816374376 36428655158 72857310316 127500293053 145714620632 255000586106 510001172212 1020002344424