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30032044343334 = 23311163657747161
BaseRepresentation
bin1101101010000011000010…
…10101011100000000100110
310221100000221210210001201000
412311001201111130000212
512414021111322441314
6143512310344414130
76216513024664545
oct665014125340046
9127300853701630
1030032044343334
119629578109530
1234504b2a77346
13139b018206157
1475b7b711415c
15371308124209
hex1b506155c026

30032044343334 has 128 divisors (see below), whose sum is σ = 73264303157760. Its totient is φ = 9043220505600.

The previous prime is 30032044343317. The next prime is 30032044343351. The reversal of 30032044343334 is 43334344023003.

30032044343334 is a `hidden beast` number, since 300 + 3 + 2 + 0 + 4 + 4 + 343 + 3 + 3 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (30032044343317) and next prime (30032044343351).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 636774714 + ... + 636821874.

It is an arithmetic number, because the mean of its divisors is an integer number (572377368420).

Almost surely, 230032044343334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30032044343334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36632151578880).

30032044343334 is an abundant number, since it is smaller than the sum of its proper divisors (43232258814426).

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

30032044343334 is a wasteful number, since it uses less digits than its factorization.

30032044343334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53923 (or 53917 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 36.

Adding to 30032044343334 its reverse (43334344023003), we get a palindrome (73366388366337).

The spelling of 30032044343334 in words is "thirty trillion, thirty-two billion, forty-four million, three hundred forty-three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 163 198 297 326 489 594 978 1467 1793 2934 3586 4401 5379 6577 8802 10758 13154 16137 19731 32274 39462 47161 48411 59193 72347 94322 96822 118386 141483 144694 177579 217041 282966 355158 424449 434082 518771 651123 848898 1037542 1072051 1273347 1302246 1556313 1953369 2144102 2546694 3112626 3216153 3906738 4668939 6432306 7687243 9337878 9648459 11792561 14006817 15374486 19296918 23061729 23585122 28013634 28945377 35377683 46123458 57890754 69185187 70755366 84559673 106133049 138370374 169119346 207555561 212266098 253679019 310177897 318399147 415111122 507358038 620355794 636798294 761037057 930533691 1522074114 1861067382 2283111171 2791601073 3411956867 4566222342 5583202146 6823913734 8374803219 10235870601 16749606438 20471741202 30707611803 50558997211 61415223606 92122835409 101117994422 151676991633 184245670818 303353983266 455030974899 556148969321 910061949798 1112297938642 1365092924697 1668446907963 2730185849394 3336893815926 5005340723889 10010681447778 15016022171667 30032044343334