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330030030413040 = 24353278341946287
BaseRepresentation
bin100101100001010010001101…
…0101110100101110011110000
31121021112120012021011101120020
41023002210122232211303300
5321224203000241204130
63125525411455243440
7126341611546364016
oct11302443256456360
91537476167141506
10330030030413040
1196180a4a337351
1231022045519580
131121c9102c7129
145b6d7782a68b6
152824c89c6ce10
hex12c291aba5cf0

330030030413040 has 80 divisors (see below), whose sum is σ = 1023124326709248. Its totient is φ = 88005321449728.

The previous prime is 330030030412993. The next prime is 330030030413051. The reversal of 330030030413040 is 40314030030033.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 330030030413040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13105224 + ... + 28841063.

Almost surely, 2330030030413040 is an apocalyptic number.

330030030413040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330030030413040 is an abundant number, since it is smaller than the sum of its proper divisors (693094296296208).

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

330030030413040 is a wasteful number, since it uses less digits than its factorization.

330030030413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41979086 (or 41979080 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 330030030413040 its reverse (40314030030033), we get a palindrome (370344060443073).

The spelling of 330030030413040 in words is "three hundred thirty trillion, thirty billion, thirty million, four hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 32783 65566 98349 131132 163915 196698 262264 327830 393396 491745 524528 655660 786792 983490 1311320 1573584 1966980 2622640 3933960 7867920 41946287 83892574 125838861 167785148 209731435 251677722 335570296 419462870 503355444 629194305 671140592 838925740 1006710888 1258388610 1677851480 2013421776 2516777220 3355702960 5033554440 10067108880 1375125126721 2750250253442 4125375380163 5500500506884 6875625633605 8250750760326 11001001013768 13751251267210 16501501520652 20626876900815 22002002027536 27502502534420 33003003041304 41253753801630 55005005068840 66006006082608 82507507603260 110010010137680 165015015206520 330030030413040