Search a number
-
+
514212020442 = 233471861108869
BaseRepresentation
bin1110111101110010110…
…11001100000011011010
31211011021022122011012000
413132321123030003122
531411101234123232
61032120432101430
752102440025311
oct7367133140332
91734238564160
10514212020442
1118909230983a
12837a8694876
133964a662323
141ac6092b278
15d59869727c
hex77b96cc0da

514212020442 has 64 divisors (see below), whose sum is σ = 1167643814400. Its totient is φ = 167665429440.

The previous prime is 514212020369. The next prime is 514212020447. The reversal of 514212020442 is 244020212415.

It is a happy number.

514212020442 is a `hidden beast` number, since 5 + 1 + 4 + 212 + 0 + 2 + 0 + 442 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (514212020447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4668784 + ... + 4777652.

It is an arithmetic number, because the mean of its divisors is an integer number (18244434600).

Almost surely, 2514212020442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514212020442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583821907200).

514212020442 is an abundant number, since it is smaller than the sum of its proper divisors (653431793958).

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

514212020442 is a wasteful number, since it uses less digits than its factorization.

514212020442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110788 (or 110782 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 514212020442 its reverse (244020212415), we get a palindrome (758232232857).

The spelling of 514212020442 in words is "five hundred fourteen billion, two hundred twelve million, twenty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 846 1269 1861 2538 3722 5583 11166 16749 33498 50247 87467 100494 108869 174934 217738 262401 326607 524802 653214 787203 979821 1574406 1959642 2361609 2939463 4723218 5116843 5878926 10233686 15350529 30701058 46051587 92103174 138154761 202605209 276309522 405210418 607815627 1215631254 1823446881 3646893762 5470340643 9522444823 10940681286 19044889646 28567334469 57134668938 85702003407 171404006814 257106010221 514212020442