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302412143012 = 227223331389521
BaseRepresentation
bin1000110011010010010…
…10110001100110100100
31001220120121210120220012
410121221022301212210
514423320002034022
6350532021425352
730564024542300
oct4315112614644
91056517716805
10302412143012
11107285853021
124a73926b258
13226957a9675
14108cb642d00
157cee332de2
hex46692b19a4

302412143012 has 144 divisors (see below), whose sum is σ = 647228050560. Its totient is φ = 123041318400.

The previous prime is 302412143009. The next prime is 302412143029. The reversal of 302412143012 is 210341214203.

It is a super-3 number, since 3×3024121430123 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580445312 + ... + 580445832.

It is an arithmetic number, because the mean of its divisors is an integer number (4494639240).

Almost surely, 2302412143012 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 302412143012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323614025280).

302412143012 is an abundant number, since it is smaller than the sum of its proper divisors (344815907548).

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

302412143012 is a wasteful number, since it uses less digits than its factorization.

302412143012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 302412143012 its reverse (210341214203), we get a palindrome (512753357215).

The spelling of 302412143012 in words is "three hundred two billion, four hundred twelve million, one hundred forty-three thousand, twelve".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 331 389 521 644 662 778 1042 1127 1324 1556 2084 2254 2317 2723 3647 4508 4634 5446 7294 7613 8947 9268 10892 11983 14588 15226 16219 17894 19061 23966 25529 30452 32438 35788 38122 47932 51058 53291 62629 64876 76244 83881 102116 106582 125258 128759 167762 172451 202669 213164 250516 257518 335524 344902 373037 405338 438403 515036 587167 689804 746074 810676 876806 901313 1174334 1207157 1418683 1492148 1753612 1802626 2348668 2414314 2837366 2961457 3605252 3966373 4661387 4828628 5674732 5922914 6309191 7932746 8450099 9322774 9930781 11845828 12618382 15865492 16900198 18645548 19861562 20730199 25236764 27764611 32629709 33800396 39723124 41460398 55529222 65259418 67083439 82920796 111058444 130518836 134166878 145111393 194352277 228407963 268333756 290222786 388704554 456815926 469584073 580445572 777409108 913631852 939168146 1542919097 1878336292 3085838194 3287088511 6171676388 6574177022 10800433679 13148354044 21600867358 43201734716 75603035753 151206071506 302412143012