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302315200040 = 23572154242449
BaseRepresentation
bin1000110011000110110…
…00111101111000101000
31001220022212101101010202
410121203120331320220
514423120142400130
6350514235531332
730561436541600
oct4314330757050
91056285341122
10302315200040
1110723605a367
124a7108b9b48
132267b696469
14108bc809c00
157ce5a84145
hex466363de28

302315200040 has 48 divisors (see below), whose sum is σ = 791263768500. Its totient is φ = 103650925056.

The previous prime is 302315199937. The next prime is 302315200091. The reversal of 302315200040 is 40002513203.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 276758062084 + 25557137956 = 526078^2 + 159866^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 302315199985 and 302315200021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77119265 + ... + 77123184.

Almost surely, 2302315200040 is an apocalyptic number.

It is an amenable number.

302315200040 is an abundant number, since it is smaller than the sum of its proper divisors (488948568460).

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

302315200040 is a wasteful number, since it uses less digits than its factorization.

302315200040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154242474 (or 154242463 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 302315200040 its reverse (40002513203), we get a palindrome (342317713243).

The spelling of 302315200040 in words is "three hundred two billion, three hundred fifteen million, two hundred thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 154242449 308484898 616969796 771212245 1079697143 1233939592 1542424490 2159394286 3084848980 4318788572 5398485715 6169697960 7557880001 8637577144 10796971430 15115760002 21593942860 30231520004 37789400005 43187885720 60463040008 75578800010 151157600020 302315200040