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9940425480 = 2332588331271
BaseRepresentation
bin10010100000111111…
…01101101100001000
3221122202122221020200
421100133231230020
5130324222103410
64322213452200
7501222136206
oct112037555410
927582587220
109940425480
114241124877
121b15041060
13c2555c08b
146a4296076
153d2a413c0
hex2507edb08

9940425480 has 96 divisors (see below), whose sum is σ = 32344004160. Its totient is φ = 2647693440.

The previous prime is 9940425457. The next prime is 9940425557. The reversal of 9940425480 is 845240499.

9940425480 is a `hidden beast` number, since 99 + 40 + 42 + 5 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302245 + ... + 333515.

It is an arithmetic number, because the mean of its divisors is an integer number (336916710).

Almost surely, 29940425480 is an apocalyptic number.

9940425480 is a gapful number since it is divisible by the number (90) 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 9940425480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16172002080).

9940425480 is an abundant number, since it is smaller than the sum of its proper divisors (22403578680).

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

9940425480 is a wasteful number, since it uses less digits than its factorization.

9940425480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32171 (or 32164 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 9940425480 is about 99701.6824331465. The cubic root of 9940425480 is about 2150.1478521001.

The spelling of 9940425480 in words is "nine billion, nine hundred forty million, four hundred twenty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 883 1766 2649 3532 4415 5298 7064 7947 8830 10596 13245 15894 17660 21192 26490 31271 31788 35320 39735 52980 62542 63576 79470 93813 105960 125084 156355 158940 187626 250168 281439 312710 317880 375252 469065 562878 625420 750504 938130 1125756 1250840 1407195 1876260 2251512 2814390 3752520 5628780 11257560 27612293 55224586 82836879 110449172 138061465 165673758 220898344 248510637 276122930 331347516 414184395 497021274 552245860 662695032 828368790 994042548 1104491720 1242553185 1656737580 1988085096 2485106370 3313475160 4970212740 9940425480