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2340432440440 = 235195055160919
BaseRepresentation
bin100010000011101100101…
…001001110110001111000
322021202001202112122222021
4202003230221032301320
5301321201201043230
64551102501404224
7331043045334463
oct42035451166170
98252052478867
102340432440440
11822632109016
12319712109674
1313c917c04843
14813c57aa2da
1540d300e3c7a
hex220eca4ec78

2340432440440 has 64 divisors (see below), whose sum is σ = 5543330112000. Its totient is φ = 886868611200.

The previous prime is 2340432440399. The next prime is 2340432440461. The reversal of 2340432440440 is 440442340432.

It is a junction number, because it is equal to n+sod(n) for n = 2340432440396 and 2340432440405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38388301 + ... + 38449219.

It is an arithmetic number, because the mean of its divisors is an integer number (86614533000).

Almost surely, 22340432440440 is an apocalyptic number.

2340432440440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2340432440440 is an abundant number, since it is smaller than the sum of its proper divisors (3202897671560).

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

2340432440440 is a wasteful number, since it uses less digits than its factorization.

2340432440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111500 (or 111496 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

Adding to 2340432440440 its reverse (440442340432), we get a palindrome (2780874780872).

It can be divided in two parts, 2340432 and 440440, that added together give a palindrome (2780872).

The spelling of 2340432440440 in words is "two trillion, three hundred forty billion, four hundred thirty-two million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 50551 60919 101102 121838 202204 243676 252755 304595 404408 487352 505510 609190 960469 1011020 1157461 1218380 1920938 2022040 2314922 2436760 3841876 4629844 4802345 5787305 7683752 9259688 9604690 11574610 19209380 23149220 38418760 46298440 3079516369 6159032738 12318065476 15397581845 24636130952 30795163690 58510811011 61590327380 117021622022 123180654760 234043244044 292554055055 468086488088 585108110110 1170216220220 2340432440440