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30041392410 = 23251779248543
BaseRepresentation
bin11011111110100110…
…110100010100011010
32212112122011212002100
4123332212310110122
5443011044024120
621444551144230
72112311423301
oct337646642432
985478155070
1030041392410
1111816645837
1259a4975076
132aa9b28653
14164db41438
15bac5a3490
hex6fe9b451a

30041392410 has 96 divisors (see below), whose sum is σ = 83749386240. Its totient is φ = 7444329984.

The previous prime is 30041392369. The next prime is 30041392411. The reversal of 30041392410 is 1429314003.

30041392410 is a `hidden beast` number, since 3 + 0 + 0 + 413 + 9 + 241 + 0 = 666.

It is a super-3 number, since 3×300413924103 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (30041392411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3402 + ... + 245141.

It is an arithmetic number, because the mean of its divisors is an integer number (872389440).

Almost surely, 230041392410 is an apocalyptic number.

30041392410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30041392410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41874693120).

30041392410 is an abundant number, since it is smaller than the sum of its proper divisors (53707993830).

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

30041392410 is a wasteful number, since it uses less digits than its factorization.

30041392410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248652 (or 248649 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 30041392410 in words is "thirty billion, forty-one million, three hundred ninety-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 79 85 90 102 153 158 170 237 255 306 395 474 510 711 765 790 1185 1343 1422 1530 2370 2686 3555 4029 6715 7110 8058 12087 13430 20145 24174 40290 60435 120870 248543 497086 745629 1242715 1491258 2236887 2485430 3728145 4225231 4473774 7456290 8450462 11184435 12675693 19634897 21126155 22368870 25351386 38027079 39269794 42252310 58904691 63378465 76054158 98174485 117809382 126756930 176714073 190135395 196348970 294523455 333793249 353428146 380270790 589046910 667586498 883570365 1001379747 1668966245 1767140730 2002759494 3004139241 3337932490 5006898735 6008278482 10013797470 15020696205 30041392410