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30145520250 = 2335326316981
BaseRepresentation
bin11100000100110100…
…000010001001111010
32212210220010002122000
4130010310002021322
5443214223122000
621503151041430
72115014460066
oct340464021172
985726102560
1030145520250
111186a3a65aa
125a13810276
132ac5585c61
14165d8c8aa6
15bb67c1000
hex704d0227a

30145520250 has 128 divisors (see below), whose sum is σ = 83926402560. Its totient is φ = 8007768000.

The previous prime is 30145520219. The next prime is 30145520291. The reversal of 30145520250 is 5202554103.

It is a happy number.

30145520250 is a `hidden beast` number, since 3 + 0 + 1 + 455 + 202 + 5 + 0 = 666.

It is a super-2 number, since 2×301455202502 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1766760 + ... + 1783740.

It is an arithmetic number, because the mean of its divisors is an integer number (655675020).

Almost surely, 230145520250 is an apocalyptic number.

30145520250 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 30145520250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41963201280).

30145520250 is an abundant number, since it is smaller than the sum of its proper divisors (53780882310).

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

30145520250 is a wasteful number, since it uses less digits than its factorization.

30145520250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17270 (or 17254 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 30145520250 in words is "thirty billion, one hundred forty-five million, five hundred twenty thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 125 135 150 225 250 263 270 375 450 526 675 750 789 1125 1315 1350 1578 2250 2367 2630 3375 3945 4734 6575 6750 7101 7890 11835 13150 14202 16981 19725 23670 32875 33962 35505 39450 50943 59175 65750 71010 84905 98625 101886 118350 152829 169810 177525 197250 254715 295875 305658 355050 424525 458487 509430 591750 764145 849050 887625 916974 1273575 1528290 1775250 2122625 2292435 2547150 3820725 4245250 4466003 4584870 6367875 7641450 8932006 11462175 12735750 13398009 19103625 22330015 22924350 26796018 38207250 40194027 44660030 57310875 66990045 80388054 111650075 114621750 120582081 133980090 200970135 223300150 241164162 334950225 401940270 558250375 602910405 669900450 1004850675 1116500750 1205820810 1674751125 2009701350 3014552025 3349502250 5024253375 6029104050 10048506750 15072760125 30145520250