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254042010024030 = 23257439001422069
BaseRepresentation
bin111001110000110011000011…
…110000111111100001011110
31020022111011211110202100202100
4321300303003300333201132
5231244211014031232110
62300145142133305530
7104336633555254164
oct7160630360774136
91208434743670670
10254042010024030
1173a4467a884928
12245ab0631952a6
13ab9a09c106967
1446a39ada83234
151e58337d83bc0
hexe70cc3c3f85e

254042010024030 has 96 divisors (see below), whose sum is σ = 661473249877440. Its totient is φ = 67645682496000.

The previous prime is 254042010023999. The next prime is 254042010024091. The reversal of 254042010024030 is 30420010240452.

254042010024030 is a `hidden beast` number, since 2 + 5 + 404 + 2 + 0 + 10 + 0 + 240 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 254042010023985 and 254042010024003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 601685836 + ... + 602107904.

It is an arithmetic number, because the mean of its divisors is an integer number (6890346352890).

Almost surely, 2254042010024030 is an apocalyptic number.

254042010024030 is an abundant number, since it is smaller than the sum of its proper divisors (407431239853410).

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

254042010024030 is a wasteful number, since it uses less digits than its factorization.

254042010024030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431826 (or 431823 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 254042010024030 its reverse (30420010240452), we get a palindrome (284462020264482).

The spelling of 254042010024030 in words is "two hundred fifty-four trillion, forty-two billion, ten million, twenty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 743 1486 2229 3715 4458 6687 7430 9001 11145 13374 18002 22290 27003 33435 45005 54006 66870 81009 90010 135015 162018 270030 405045 422069 810090 844138 1266207 2110345 2532414 3798621 4220690 6331035 6687743 7597242 12662070 13375486 18993105 20063229 33438715 37986210 40126458 60189687 66877430 100316145 120379374 200632290 300948435 313597267 601896870 627194534 940791801 1567986335 1881583602 2822375403 3135972670 3799043069 4703959005 5644750806 7598086138 9407918010 11397129207 14111877015 18995215345 22794258414 28223754030 34191387621 37990430690 56985646035 68382775242 113971292070 170956938105 341913876210 2822689000267 5645378000534 8468067000801 14113445001335 16936134001602 25404201002403 28226890002670 42340335004005 50808402004806 84680670008010 127021005012015 254042010024030