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1024444034442 = 233101491382553
BaseRepresentation
bin11101110100001011001…
…11110110110110001010
310121221021021012000221000
432322011213312312022
5113241030133100232
62102342330555430
7134004451421403
oct16720547666612
93557237160830
101024444034442
11365511a4a854
12146664298b76
13757b258344a
1437824a2a9aa
151b9ac71827c
hexee859f6d8a

1024444034442 has 64 divisors (see below), whose sum is σ = 2303770792320. Its totient is φ = 337410864000.

The previous prime is 1024444034441. The next prime is 1024444034479. The reversal of 1024444034442 is 2444304444201.

It is a happy number.

1024444034442 is a `hidden beast` number, since 1 + 0 + 244 + 4 + 403 + 4 + 4 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1024444034397 and 1024444034406.

It is not an unprimeable number, because it can be changed into a prime (1024444034441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2486638 + ... + 2869190.

It is an arithmetic number, because the mean of its divisors is an integer number (35996418630).

Almost surely, 21024444034442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024444034442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151885396160).

1024444034442 is an abundant number, since it is smaller than the sum of its proper divisors (1279326757878).

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

1024444034442 is a wasteful number, since it uses less digits than its factorization.

1024444034442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383156 (or 383150 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 1024444034442 its reverse (2444304444201), we get a palindrome (3468748478643).

The spelling of 1024444034442 in words is "one trillion, twenty-four billion, four hundred forty-four million, thirty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 101 202 303 491 606 909 982 1473 1818 2727 2946 4419 5454 8838 13257 26514 49591 99182 148773 297546 382553 446319 765106 892638 1147659 1338957 2295318 2677914 3442977 6885954 10328931 20657862 38637853 77275706 115913559 187833523 231827118 347740677 375667046 563500569 695481354 1043222031 1127001138 1690501707 2086444062 3381003414 5071505121 10143010242 18971185823 37942371646 56913557469 113827114938 170740672407 341481344814 512222017221 1024444034442