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330115241040 = 243513105806167
BaseRepresentation
bin1001100110111000110…
…01101101010001010000
31011120002022001210002220
410303130121231101100
520402034000203130
6411353003141040
732564364152034
oct4633431552120
91146068053086
10330115241040
111180014a1662
1253b8ab14780
132518c042770
1411d989c81c4
1588c149d410
hex4cdc66d450

330115241040 has 80 divisors (see below), whose sum is σ = 1102077045888. Its totient is φ = 81259135488.

The previous prime is 330115241021. The next prime is 330115241213. The reversal of 330115241040 is 40142511033.

It is a happy number.

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 330115241040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52899964 + ... + 52906203.

Almost surely, 2330115241040 is an apocalyptic number.

330115241040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330115241040 is an abundant number, since it is smaller than the sum of its proper divisors (771961804848).

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

330115241040 is a wasteful number, since it uses less digits than its factorization.

330115241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105806196 (or 105806190 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 330115241040 its reverse (40142511033), we get a palindrome (370257752073).

The spelling of 330115241040 in words is "three hundred thirty billion, one hundred fifteen million, two hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 105806167 211612334 317418501 423224668 529030835 634837002 846449336 1058061670 1269674004 1375480171 1587092505 1692898672 2116123340 2539348008 2750960342 3174185010 4126440513 4232246680 5078696016 5501920684 6348370020 6877400855 8252881026 8464493360 11003841368 12696740040 13754801710 16505762052 20632202565 22007682736 25393480080 27509603420 33011524104 41264405130 55019206840 66023048208 82528810260 110038413680 165057620520 330115241040