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30302545305040 = 24510110037373649
BaseRepresentation
bin1101110001111010111000…
…11100101101110111010000
310222021220011111001200100021
412320331130130231313100
512432434103044230130
6144240444103033224
76245200215142141
oct670753434556720
9128256144050307
1030302545305040
119723267925738
123494a0513b814
1313ba6966a06c8
1476a918573ac8
1537838ab6237a
hex1b8f5c72ddd0

30302545305040 has 80 divisors (see below), whose sum is σ = 71158255736400. Its totient is φ = 11999780249600.

The previous prime is 30302545304989. The next prime is 30302545305041. The reversal of 30302545305040 is 4050354520303.

It can be written as a sum of positive squares in 8 ways, for example, as 1307034281536 + 28995511023504 = 1143256^2 + 5384748^2 .

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 = 30302545304987 and 30302545305005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30302545305041) 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, 80912136 + ... + 81285784.

It is an arithmetic number, because the mean of its divisors is an integer number (889478196705).

Almost surely, 230302545305040 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 30302545305040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35579127868200).

30302545305040 is an abundant number, since it is smaller than the sum of its proper divisors (40855710431360).

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

30302545305040 is a wasteful number, since it uses less digits than its factorization.

30302545305040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383800 (or 383794 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 34.

Adding to 30302545305040 its reverse (4050354520303), we get a palindrome (34352899825343).

The spelling of 30302545305040 in words is "thirty trillion, three hundred two billion, five hundred forty-five million, three hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 10037 20074 40148 50185 80296 100370 160592 200740 373649 401480 747298 802960 1013737 1494596 1868245 2027474 2989192 3736490 4054948 5068685 5978384 7472980 8109896 10137370 14945960 16219792 20274740 29891920 37738549 40549480 75477098 81098960 150954196 188692745 301908392 377385490 603816784 754770980 1509541960 3019083920 3750315013 7500630026 15001260052 18751575065 30002520104 37503150130 60005040208 75006300260 150012600520 300025201040 378781816313 757563632626 1515127265252 1893909081565 3030254530504 3787818163130 6060509061008 7575636326260 15151272652520 30302545305040