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12302025040 = 2452953100049
BaseRepresentation
bin10110111010100001…
…00000000101010000
31011202100102121211001
423131100200011100
5200143304300130
65352415031344
7613566326134
oct133520400520
934670377731
1012302025040
115243199548
122473b0b554
1312108c1276
14849b9b3c4
154c002e6ca
hex2dd420150

12302025040 has 80 divisors (see below), whose sum is σ = 30147066000. Its totient is φ = 4661436416.

The previous prime is 12302025017. The next prime is 12302025049. The reversal of 12302025040 is 4052020321.

It can be written as a sum of positive squares in 8 ways, for example, as 1067720976 + 11234304064 = 32676^2 + 105992^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 12302024999 and 12302025017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12302025049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72936 + ... + 172984.

It is an arithmetic number, because the mean of its divisors is an integer number (376838325).

Almost surely, 212302025040 is an apocalyptic number.

12302025040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12302025040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15073533000).

12302025040 is an abundant number, since it is smaller than the sum of its proper divisors (17845040960).

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

12302025040 is a wasteful number, since it uses less digits than its factorization.

12302025040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100144 (or 100138 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 12302025040 its reverse (4052020321), we get a palindrome (16354045361).

The spelling of 12302025040 in words is "twelve billion, three hundred two million, twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 53 58 80 106 116 145 212 232 265 290 424 464 530 580 848 1060 1160 1537 2120 2320 3074 4240 6148 7685 12296 15370 24592 30740 61480 100049 122960 200098 400196 500245 800392 1000490 1600784 2000980 2901421 4001960 5302597 5802842 8003920 10605194 11605684 14507105 21210388 23211368 26512985 29014210 42420776 46422736 53025970 58028420 84841552 106051940 116056840 153775313 212103880 232113680 307550626 424207760 615101252 768876565 1230202504 1537753130 2460405008 3075506260 6151012520 12302025040