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30242001400 = 23521353219463
BaseRepresentation
bin11100001010100100…
…000101000111111000
32220001121122211212221
4130022210011013320
5443413423021100
621520515013424
72120265525202
oct341244050770
986047584787
1030242001400
1111909904296
125a3bb9a274
132b0c566bb0
14166c641772
15bbeecd01a
hex70a9051f8

30242001400 has 96 divisors (see below), whose sum is σ = 77150374560. Its totient is φ = 10955543040.

The previous prime is 30242001373. The next prime is 30242001407. The reversal of 30242001400 is 410024203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30242001407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28069 + ... + 247531.

It is an arithmetic number, because the mean of its divisors is an integer number (803649735).

Almost surely, 230242001400 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 30242001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38575187280).

30242001400 is an abundant number, since it is smaller than the sum of its proper divisors (46908373160).

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

30242001400 is a wasteful number, since it uses less digits than its factorization.

30242001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219545 (or 219536 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 30242001400 its reverse (410024203), we get a palindrome (30652025603).

The spelling of 30242001400 in words is "thirty billion, two hundred forty-two million, one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 53 65 100 104 106 130 200 212 260 265 325 424 520 530 650 689 1060 1300 1325 1378 2120 2600 2650 2756 3445 5300 5512 6890 10600 13780 17225 27560 34450 68900 137800 219463 438926 877852 1097315 1755704 2194630 2853019 4389260 5486575 5706038 8778520 10973150 11412076 11631539 14265095 21946300 22824152 23263078 28530190 43892600 46526156 57060380 58157695 71325475 93052312 114120760 116315390 142650950 151210007 232630780 285301900 290788475 302420014 465261560 570603800 581576950 604840028 756050035 1163153900 1209680056 1512100070 2326307800 3024200140 3780250175 6048400280 7560500350 15121000700 30242001400