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330104221040 = 24511463810191
BaseRepresentation
bin1001100110110111011…
…11101010110101110000
31011120001112022220111202
410303123233222311300
520402023140033130
6411351531030332
732564201403536
oct4633357526560
91146045286452
10330104221040
11117aa6255120
1253b8729b3a8
1325189984859
1411d9735a156
1588c0523145
hex4cdbbead70

330104221040 has 80 divisors (see below), whose sum is σ = 839073724416. Its totient is φ = 119778489600.

The previous prime is 330104221033. The next prime is 330104221067. The reversal of 330104221040 is 40122401033.

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 (20).

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, 2345 + ... + 812535.

Almost surely, 2330104221040 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 330104221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419536862208).

330104221040 is an abundant number, since it is smaller than the sum of its proper divisors (508969503376).

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

330104221040 is a wasteful number, since it uses less digits than its factorization.

330104221040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810678 (or 810672 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 330104221040 its reverse (40122401033), we get a palindrome (370226622073).

The spelling of 330104221040 in words is "three hundred thirty billion, one hundred four million, two hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 463 880 926 1852 2315 3704 4630 5093 7408 9260 10186 18520 20372 25465 37040 40744 50930 81488 101860 203720 407440 810191 1620382 3240764 4050955 6481528 8101910 8912101 12963056 16203820 17824202 32407640 35648404 44560505 64815280 71296808 89121010 142593616 178242020 356484040 375118433 712968080 750236866 1500473732 1875592165 3000947464 3751184330 4126302763 6001894928 7502368660 8252605526 15004737320 16505211052 20631513815 30009474640 33010422104 41263027630 66020844208 82526055260 165052110520 330104221040