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3440045430140 = 2251199715683621
BaseRepresentation
bin110010000011110010101…
…011111001010101111100
3110011212100200101021101012
4302003302223321111330
5422330203112231030
611152200212134352
7503351350461224
oct62036253712574
913155320337335
103440045430140
111106a07a66490
124768543073b8
131bc519768b27
14bc6db6d1084
155e73baea095
hex320f2af957c

3440045430140 has 48 divisors (see below), whose sum is σ = 7888736397024. Its totient is φ = 1249670841600.

The previous prime is 3440045430079. The next prime is 3440045430149. The reversal of 3440045430140 is 410345400443.

It is a super-2 number, since 2×34400454301402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3440045430097 and 3440045430106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3440045430149) 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 15 ways as a sum of consecutive naturals, for example, 7622471 + ... + 8061150.

It is an arithmetic number, because the mean of its divisors is an integer number (164348674938).

Almost surely, 23440045430140 is an apocalyptic number.

It is an amenable number.

3440045430140 is an abundant number, since it is smaller than the sum of its proper divisors (4448690966884).

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

3440045430140 is a wasteful number, since it uses less digits than its factorization.

3440045430140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15684638 (or 15684636 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

The spelling of 3440045430140 in words is "three trillion, four hundred forty billion, forty-five million, four hundred thirty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 997 1994 3988 4985 9970 10967 19940 21934 43868 54835 109670 219340 15683621 31367242 62734484 78418105 156836210 172519831 313672420 345039662 690079324 862599155 1725198310 3450396620 15636570137 31273140274 62546280548 78182850685 156365701370 172002271507 312731402740 344004543014 688009086028 860011357535 1720022715070 3440045430140