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330034042333040 = 24513073950379903
BaseRepresentation
bin100101100001010100000100…
…1110110110110011101110000
31121021112221112212022001011212
41023002220021312312131300
5321224234204314124130
63125531313532455252
7126342113143214543
oct11302501166663560
91537487485261155
10330034042333040
1196182718a22211
123102298501a528
13112200cc5302a6
145b6da3904085a
152824e22099e95
hex12c2a09db6770

330034042333040 has 80 divisors (see below), whose sum is σ = 767945290641408. Its totient is φ = 131907621696768.

The previous prime is 330034042333019. The next prime is 330034042333109. The reversal of 330034042333040 is 40333240430033.

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

It is a junction number, because it is equal to n+sod(n) for n = 330034042332988 and 330034042333006.

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, 4130393729 + ... + 4130473631.

Almost surely, 2330034042333040 is an apocalyptic number.

It is an amenable number.

330034042333040 is an abundant number, since it is smaller than the sum of its proper divisors (437911248308368).

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

330034042333040 is a wasteful number, since it uses less digits than its factorization.

330034042333040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120726 (or 120720 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 32.

Adding to 330034042333040 its reverse (40333240430033), we get a palindrome (370367282763073).

The spelling of 330034042333040 in words is "three hundred thirty trillion, thirty-four billion, forty-two million, three hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1307 2614 5228 6535 10456 13070 20912 26140 39503 52280 79006 79903 104560 158012 159806 197515 316024 319612 395030 399515 632048 639224 790060 799030 1278448 1580120 1598060 3160240 3196120 6392240 51630421 103260842 104433221 206521684 208866442 258152105 413043368 417732884 516304210 522166105 826086736 835465768 1032608420 1044332210 1670931536 2065216840 2088664420 3156408209 4130433680 4177328840 6312816418 8354657680 12625632836 15782041045 25251265672 31564082090 50502531344 63128164180 126256328360 252512656720 4125425529163 8250851058326 16501702116652 20627127645815 33003404233304 41254255291630 66006808466608 82508510583260 165017021166520 330034042333040