Search a number
-
+
1440762221142 = 233311601537583
BaseRepresentation
bin10100111101110100000…
…111101101001001010110
312002201212012022011211000
4110331310013231021112
5142101140112034032
63021513234324130
7206043300546636
oct24756407551126
95081765264730
101440762221142
11506029793362
121b3290429646
13a5b2b87275a
144da3a10a6c6
1527726a09e7c
hex14f741ed256

1440762221142 has 64 divisors (see below), whose sum is σ = 3307044741120. Its totient is φ = 464470848000.

The previous prime is 1440762221137. The next prime is 1440762221177. The reversal of 1440762221142 is 2411222670441.

1440762221142 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 7 + 622 + 21 + 1 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1440762221097 and 1440762221106.

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, 2411283 + ... + 2948865.

It is an arithmetic number, because the mean of its divisors is an integer number (51672574080).

Almost surely, 21440762221142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1440762221142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653522370560).

1440762221142 is an abundant number, since it is smaller than the sum of its proper divisors (1866282519978).

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

1440762221142 is a wasteful number, since it uses less digits than its factorization.

1440762221142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539226 (or 539220 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 1440762221142 its reverse (2411222670441), we get a palindrome (3851984891583).

The spelling of 1440762221142 in words is "one trillion, four hundred forty billion, seven hundred sixty-two million, two hundred twenty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1601 1674 3202 4803 9606 14409 28818 43227 49631 86454 99262 148893 297786 446679 537583 893358 1075166 1340037 1612749 2680074 3225498 4838247 9676494 14514741 16665073 29029482 33330146 49995219 99990438 149985657 299971314 449956971 860670383 899913942 1721340766 2582011149 5164022298 7746033447 15492066894 23238100341 26680781873 46476200682 53361563746 80042345619 160084691238 240127036857 480254073714 720381110571 1440762221142