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505142555440 = 245101479130517
BaseRepresentation
bin1110101100111001101…
…01111011001100110000
31210021212020211121002211
413112130311323030300
531234012443233230
61024020450021504
751331621606345
oct7263465731460
91707766747084
10505142555440
11185258892516
1281a97277894
133883369cba3
141a6401d27cc
15d21734842a
hex759cd7b330

505142555440 has 80 divisors (see below), whose sum is σ = 1188569998080. Its totient is φ = 199637273600.

The previous prime is 505142555429. The next prime is 505142555483. The reversal of 505142555440 is 44555241505.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 505142555393 and 505142555402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3805062 + ... + 3935578.

It is an arithmetic number, because the mean of its divisors is an integer number (14857124976).

Almost surely, 2505142555440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505142555440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594284999040).

505142555440 is an abundant number, since it is smaller than the sum of its proper divisors (683427442640).

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

505142555440 is a wasteful number, since it uses less digits than its factorization.

505142555440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131110 (or 131104 counting only the distinct ones).

The product of its (nonzero) digits is 400000, while the sum is 40.

Adding to 505142555440 its reverse (44555241505), we get a palindrome (549697796945).

The spelling of 505142555440 in words is "five hundred five billion, one hundred forty-two million, five hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 479 505 808 958 1010 1616 1916 2020 2395 3832 4040 4790 7664 8080 9580 19160 38320 48379 96758 130517 193516 241895 261034 387032 483790 522068 652585 774064 967580 1044136 1305170 1935160 2088272 2610340 3870320 5220680 10441360 13182217 26364434 52728868 62517643 65911085 105457736 125035286 131822170 210915472 250070572 263644340 312588215 500141144 527288680 625176430 1000282288 1054577360 1250352860 2500705720 5001411440 6314281943 12628563886 25257127772 31571409715 50514255544 63142819430 101028511088 126285638860 252571277720 505142555440