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10144421304030 = 2325138670445559
BaseRepresentation
bin1001001110011110111010…
…1000001101011011011110
31022220210112011101122111200
42103213232220031123132
52312201233323212110
633324141030500330
72064624134231646
oct223475650153336
938823464348450
1010144421304030
1132612523a8332
12117a0822046a6
135877cb9cc340
14270dc7a1d526
15128d2ddaa6c0
hex939eea0d6de

10144421304030 has 48 divisors (see below), whose sum is σ = 28404379654560. Its totient is φ = 2497088320704.

The previous prime is 10144421304019. The next prime is 10144421304047. The reversal of 10144421304030 is 3040312444101.

10144421304030 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 44 + 213 + 0 + 403 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10144421303985 and 10144421304003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4335221610 + ... + 4335223949.

It is an arithmetic number, because the mean of its divisors is an integer number (591757909470).

Almost surely, 210144421304030 is an apocalyptic number.

10144421304030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10144421304030 is an abundant number, since it is smaller than the sum of its proper divisors (18259958350530).

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

10144421304030 is a wasteful number, since it uses less digits than its factorization.

10144421304030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8670445585 (or 8670445582 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10144421304030 its reverse (3040312444101), we get a palindrome (13184733748131).

The spelling of 10144421304030 in words is "ten trillion, one hundred forty-four billion, four hundred twenty-one million, three hundred four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 8670445559 17340891118 26011336677 43352227795 52022673354 78034010031 86704455590 112715792267 130056683385 156068020062 225431584534 260113366770 338147376801 390170050155 563578961335 676294753602 780340100310 1014442130403 1127157922670 1690736884005 2028884260806 3381473768010 5072210652015 10144421304030