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3326930413440 = 27351919072127
BaseRepresentation
bin110000011010011100100…
…000010110011110000000
3102210001101111112001102020
4300122130200112132000
5414002023141212230
611024212024521440
7462235302630354
oct60323440263600
912701344461366
103326930413440
111072a41538207
12458946320280
131b1960ab6a9a
14b704a925464
155b81b2de810
hex3069c816780

3326930413440 has 128 divisors (see below), whose sum is σ = 10660113285120. Its totient is φ = 882536417280.

The previous prime is 3326930413421. The next prime is 3326930413441. The reversal of 3326930413440 is 443140396233.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33269304134402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3326930413392 and 3326930413401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3326930413441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4169344 + ... + 4902783.

It is an arithmetic number, because the mean of its divisors is an integer number (83282135040).

Almost surely, 23326930413440 is an apocalyptic number.

3326930413440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3326930413440 is an abundant number, since it is smaller than the sum of its proper divisors (7333182871680).

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

3326930413440 is a wasteful number, since it uses less digits than its factorization.

3326930413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9072340 (or 9072328 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 42.

The spelling of 3326930413440 in words is "three trillion, three hundred twenty-six billion, nine hundred thirty million, four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 191 192 240 320 382 384 480 573 640 764 955 960 1146 1528 1910 1920 2292 2865 3056 3820 4584 5730 6112 7640 9168 11460 12224 15280 18336 22920 24448 30560 36672 45840 61120 73344 91680 122240 183360 366720 9072127 18144254 27216381 36288508 45360635 54432762 72577016 90721270 108865524 136081905 145154032 181442540 217731048 272163810 290308064 362885080 435462096 544327620 580616128 725770160 870924192 1088655240 1161232256 1451540320 1732776257 1741848384 2177310480 2903080640 3465552514 3483696768 4354620960 5198328771 5806161280 6931105028 8663881285 8709241920 10396657542 13862210056 17327762570 17418483840 20793315084 25991643855 27724420112 34655525140 41586630168 51983287710 55448840224 69311050280 83173260336 103966575420 110897680448 138622100560 166346520672 207933150840 221795360896 277244201120 332693041344 415866301680 554488402240 665386082688 831732603360 1108976804480 1663465206720 3326930413440