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302431014312 = 23376738516977
BaseRepresentation
bin1000110011010100100…
…10110000110110101000
31001220121221022100110020
410121222102300312220
514423334314424222
6350533534120440
730564344130540
oct4315222606650
91056557270406
10302431014312
11107295472339
124a743650120
132269968610b
14108cdd56320
157d00d0e65c
hex466a4b0da8

302431014312 has 128 divisors (see below), whose sum is σ = 877338915840. Its totient is φ = 85084876800.

The previous prime is 302431014269. The next prime is 302431014313. The reversal of 302431014312 is 213410134203.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (302431014313) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 43343368 + ... + 43350344.

It is an arithmetic number, because the mean of its divisors is an integer number (6854210280).

Almost surely, 2302431014312 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 302431014312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438669457920).

302431014312 is an abundant number, since it is smaller than the sum of its proper divisors (574907901528).

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

302431014312 is a wasteful number, since it uses less digits than its factorization.

302431014312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10911 (or 10907 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 302431014312 its reverse (213410134203), we get a palindrome (515841148515).

The spelling of 302431014312 in words is "three hundred two billion, four hundred thirty-one million, fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 201 268 402 469 536 804 938 1407 1608 1876 2814 3752 3851 5628 6977 7702 11256 11553 13954 15404 20931 23106 26957 27908 30808 41862 46212 48839 53914 55816 80871 83724 92424 97678 107828 146517 161742 167448 195356 215656 258017 293034 323484 390712 467459 516034 586068 646968 774051 934918 1032068 1172136 1402377 1548102 1806119 1869836 2064136 2804754 3096204 3272213 3612238 3739672 5418357 5609508 6192408 6544426 7224476 9816639 10836714 11219016 13088852 14448952 19633278 21673428 26177704 26868427 39266556 43346856 53736854 78533112 80605281 107473708 161210562 188078989 214947416 322421124 376157978 564236967 644842248 752315956 1128473934 1504631912 1800184609 2256947868 3600369218 4513895736 5400553827 7200738436 10801107654 12601292263 14401476872 21602215308 25202584526 37803876789 43204430616 50405169052 75607753578 100810338104 151215507156 302431014312