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4341430041440 = 255113240123343
BaseRepresentation
bin111111001011010001011…
…001010011101101100000
3120101000222201112220020112
4333023101121103231200
51032112222042311230
613122231520430452
7625441453322342
oct77132131235540
916330881486215
104341430041440
111424210094238
125a1494178428
1325651a04615b
141101aa941292
1577de597bd95
hex3f2d1653b60

4341430041440 has 48 divisors (see below), whose sum is σ = 10347395139648. Its totient is φ = 1721204115456.

The previous prime is 4341430041433. The next prime is 4341430041521. The reversal of 4341430041440 is 441400341434.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4341430041397 and 4341430041406.

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, 120043592 + ... + 120079751.

It is an arithmetic number, because the mean of its divisors is an integer number (215570732076).

Almost surely, 24341430041440 is an apocalyptic number.

4341430041440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4341430041440 is an abundant number, since it is smaller than the sum of its proper divisors (6005965098208).

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

4341430041440 is a wasteful number, since it uses less digits than its factorization.

4341430041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240123471 (or 240123463 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4341430041440 its reverse (441400341434), we get a palindrome (4782830382874).

The spelling of 4341430041440 in words is "four trillion, three hundred forty-one billion, four hundred thirty million, forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 565 904 1130 1808 2260 3616 4520 9040 18080 240123343 480246686 960493372 1200616715 1920986744 2401233430 3841973488 4802466860 7683946976 9604933720 19209867440 27133937759 38419734880 54267875518 108535751036 135669688795 217071502072 271339377590 434143004144 542678755180 868286008288 1085357510360 2170715020720 4341430041440