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30442843104 = 2537311173889
BaseRepresentation
bin11100010110100010…
…001110101111100000
32220120121120122220120
4130112202032233200
5444321331434404
621552451440240
72125254616422
oct342642165740
986517518816
1030442843104
1111a02211673
125a972b6080
132b4205733b
14168b1a2812
15bd29519d9
hex71688ebe0

30442843104 has 96 divisors (see below), whose sum is σ = 81100524960. Its totient is φ = 9997074432.

The previous prime is 30442843073. The next prime is 30442843127. The reversal of 30442843104 is 40134824403.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7825992 + ... + 7829880.

It is an arithmetic number, because the mean of its divisors is an integer number (844797135).

Almost surely, 230442843104 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 30442843104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40550262480).

30442843104 is an abundant number, since it is smaller than the sum of its proper divisors (50657681856).

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

30442843104 is a wasteful number, since it uses less digits than its factorization.

30442843104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5092 (or 5084 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 30442843104 in words is "thirty billion, four hundred forty-two million, eight hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1117 1168 1752 2234 2336 3351 3504 3889 4468 6702 7008 7778 8936 11667 13404 15556 17872 23334 26808 31112 35744 46668 53616 62224 81541 93336 107232 124448 163082 186672 244623 283897 326164 373344 489246 567794 652328 851691 978492 1135588 1304656 1703382 1956984 2271176 2609312 3406764 3913968 4344013 4542352 6813528 7827936 8688026 9084704 13032039 13627056 17376052 26064078 27254112 34752104 52128156 69504208 104256312 139008416 208512624 317112949 417025248 634225898 951338847 1268451796 1902677694 2536903592 3805355388 5073807184 7610710776 10147614368 15221421552 30442843104