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1414440443440 = 245472671140839
BaseRepresentation
bin10100100101010011001…
…110000101111000110000
312000012220210020022212101
4110211103032011320300
5141133233223142230
63001441315310144
7204122103253153
oct24452316057060
95005823208771
101414440443440
114a5951835172
121aa1652ab354
13a34c554796b
144c6603b3c9a
1526bd5c94aca
hex14953385e30

1414440443440 has 80 divisors (see below), whose sum is σ = 3359824957440. Its totient is φ = 553527141120.

The previous prime is 1414440443413. The next prime is 1414440443447. The reversal of 1414440443440 is 443440444141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1414440443440.

It is not an unprimeable number, because it can be changed into a prime (1414440443447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9972541 + ... + 10113379.

It is an arithmetic number, because the mean of its divisors is an integer number (41997811968).

Almost surely, 21414440443440 is an apocalyptic number.

1414440443440 is a gapful number since it is divisible by the number (10) 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 1414440443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679912478720).

1414440443440 is an abundant number, since it is smaller than the sum of its proper divisors (1945384514000).

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

1414440443440 is a wasteful number, since it uses less digits than its factorization.

1414440443440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143570 (or 143564 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 37.

Adding to 1414440443440 its reverse (443440444141), we get a palindrome (1857880887581).

The spelling of 1414440443440 in words is "one trillion, four hundred fourteen billion, four hundred forty million, four hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 2671 3760 5342 10684 13355 21368 26710 42736 53420 106840 125537 140839 213680 251074 281678 502148 563356 627685 704195 1004296 1126712 1255370 1408390 2008592 2253424 2510740 2816780 5021480 5633560 6619433 10042960 11267120 13238866 26477732 33097165 52955464 66194330 105910928 132388660 264777320 376180969 529554640 752361938 1504723876 1880904845 3009447752 3761809690 6018895504 7523619380 15047238760 17680505543 30094477520 35361011086 70722022172 88402527715 141444044344 176805055430 282888088688 353610110860 707220221720 1414440443440