Search a number
-
+
1020441022432 = 251317144293131
BaseRepresentation
bin11101101100101110000…
…01100100111111100000
310121112221021210221202221
432312113001210333200
5113204330400204212
62100441212320424
7133503323401426
oct16662701447740
93545837727687
101020441022432
11363848399667
12145927773114
13752c5148aa0
1437565131116
151b82609a807
hexed97064fe0

1020441022432 has 48 divisors (see below), whose sum is σ = 2290797763632. Its totient is φ = 443268495360.

The previous prime is 1020441022429. The next prime is 1020441022453. The reversal of 1020441022432 is 2342201440201.

It is a junction number, because it is equal to n+sod(n) for n = 1020441022397 and 1020441022406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72139494 + ... + 72153637.

It is an arithmetic number, because the mean of its divisors is an integer number (47724953409).

Almost surely, 21020441022432 is an apocalyptic number.

It is an amenable number.

1020441022432 is an abundant number, since it is smaller than the sum of its proper divisors (1270356741200).

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

1020441022432 is a wasteful number, since it uses less digits than its factorization.

1020441022432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144293171 (or 144293163 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 1020441022432 its reverse (2342201440201), we get a palindrome (3362642462633).

The spelling of 1020441022432 in words is "one trillion, twenty billion, four hundred forty-one million, twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 3536 7072 144293131 288586262 577172524 1154345048 1875810703 2308690096 2452983227 3751621406 4617380192 4905966454 7503242812 9811932908 15006485624 19623865816 30012971248 31888781951 39247731632 60025942496 63777563902 78495463264 127555127804 255110255608 510220511216 1020441022432