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505352342440 = 235112491212651
BaseRepresentation
bin1110101101010010101…
…10001100101110101000
31210022101212120212202201
413112221112030232220
531234430144424230
61024053342305544
751340050015301
oct7265126145650
91708355525681
10505352342440
1118535624a600
1281b355882b4
1338867ca2aca
141a6600017a8
15d22a9875ca
hex75a958cba8

505352342440 has 96 divisors (see below), whose sum is σ = 1252358664480. Its totient is φ = 183389360000.

The previous prime is 505352342413. The next prime is 505352342441. The reversal of 505352342440 is 44243253505.

It is a self number, because there is not a number n which added to its sum of digits gives 505352342440.

It is not an unprimeable number, because it can be changed into a prime (505352342441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2270115 + ... + 2482765.

It is an arithmetic number, because the mean of its divisors is an integer number (13045402755).

Almost surely, 2505352342440 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 505352342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626179332240).

505352342440 is an abundant number, since it is smaller than the sum of its proper divisors (747006322040).

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

505352342440 is a wasteful number, since it uses less digits than its factorization.

505352342440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213175 (or 213160 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 37.

Adding to 505352342440 its reverse (44243253505), we get a palindrome (549595595945).

The spelling of 505352342440 in words is "five hundred five billion, three hundred fifty-two million, three hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 491 605 968 982 1210 1964 2420 2455 3928 4840 4910 5401 9820 10802 19640 21604 27005 43208 54010 59411 108020 118822 212651 216040 237644 297055 425302 475288 594110 850604 1063255 1188220 1701208 2126510 2339161 2376440 4253020 4678322 8506040 9356644 11695805 18713288 23391610 25730771 46783220 51461542 93566440 102923084 104411641 128653855 205846168 208823282 257307710 417646564 514615420 522058205 835293128 1029230840 1044116410 1148528051 2088232820 2297056102 4176465640 4594112204 5742640255 9188224408 11485280510 12633808561 22970561020 25267617122 45941122040 50535234244 63169042805 101070468488 126338085610 252676171220 505352342440