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3994099480 = 2357472231361
BaseRepresentation
bin1110111000010001…
…0001111100011000
3101022100121021110101
43232010101330120
531134442140410
61500155225144
7200656166620
oct35604217430
911270537411
103994099480
11176a624068
129357481b4
134b8636a97
1429c659880
151859abd3a
hexee111f18

3994099480 has 128 divisors (see below), whose sum is σ = 10543841280. Its totient is φ = 1333278720.

The previous prime is 3994099471. The next prime is 3994099517. The reversal of 3994099480 is 849904993.

It is a super-2 number, since 2×39940994802 = 31905661312272540800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2934000 + ... + 2935360.

It is an arithmetic number, because the mean of its divisors is an integer number (82373760).

Almost surely, 23994099480 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 3994099480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5271920640).

3994099480 is an abundant number, since it is smaller than the sum of its proper divisors (6549741800).

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

3994099480 is a wasteful number, since it uses less digits than its factorization.

3994099480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 55.

The square root of 3994099480 is about 63198.8882813614. Note that the first 3 decimals coincide. The cubic root of 3994099480 is about 1586.6201268823.

The spelling of 3994099480 in words is "three billion, nine hundred ninety-four million, ninety-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 223 235 280 329 376 446 470 658 892 940 1115 1316 1361 1561 1645 1784 1880 2230 2632 2722 3122 3290 4460 5444 6244 6580 6805 7805 8920 9527 10481 10888 12488 13160 13610 15610 19054 20962 27220 31220 38108 41924 47635 52405 54440 62440 63967 73367 76216 83848 95270 104810 127934 146734 190540 209620 255868 293468 303503 319835 366835 381080 419240 447769 511736 586936 607006 639670 733670 895538 1214012 1279340 1467340 1517515 1791076 2124521 2238845 2428024 2558680 2934680 3035030 3582152 4249042 4477690 6070060 8498084 8955380 10622605 12140120 14264641 16996168 17910760 21245210 28529282 42490420 57058564 71323205 84980840 99852487 114117128 142646410 199704974 285292820 399409948 499262435 570585640 798819896 998524870 1997049740 3994099480