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3120421440 = 26354179279
BaseRepresentation
bin1011100111111101…
…1101101001000000
322001110121211111110
42321333131221000
522342311441230
61233345243320
7140220100413
oct27177355100
98043554443
103120421440
11136143a8a4
12731033540
133a9628226
142185d1b7a
15133e2e4b0
hexb9fdda40

3120421440 has 112 divisors (see below), whose sum is σ = 10149108480. Its totient is φ = 811806720.

The previous prime is 3120421411. The next prime is 3120421453. The reversal of 3120421440 is 441240213.

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, 280 + ... + 78999.

It is an arithmetic number, because the mean of its divisors is an integer number (90617040).

Almost surely, 23120421440 is an apocalyptic number.

3120421440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3120421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5074554240).

3120421440 is an abundant number, since it is smaller than the sum of its proper divisors (7028687040).

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

3120421440 is a wasteful number, since it uses less digits than its factorization.

3120421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79340 (or 79330 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3120421440 is about 55860.7325408466. The cubic root of 3120421440 is about 1461.2945046100.

Adding to 3120421440 its reverse (441240213), we get a palindrome (3561661653).

The spelling of 3120421440 in words is "three billion, one hundred twenty million, four hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 160 164 192 205 240 246 320 328 410 480 492 615 656 820 960 984 1230 1312 1640 1968 2460 2624 3280 3936 4920 6560 7872 9840 13120 19680 39360 79279 158558 237837 317116 396395 475674 634232 792790 951348 1189185 1268464 1585580 1902696 2378370 2536928 3171160 3250439 3805392 4756740 5073856 6342320 6500878 7610784 9513480 9751317 12684640 13001756 15221568 16252195 19026960 19502634 25369280 26003512 32504390 38053920 39005268 48756585 52007024 65008780 76107840 78010536 97513170 104014048 130017560 156021072 195026340 208028096 260035120 312042144 390052680 520070240 624084288 780105360 1040140480 1560210720 3120421440