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30140411200 = 265219198627
BaseRepresentation
bin11100000100100000…
…100010110101000000
32212210112111112022221
4130010200202311000
5443211421124300
621502445340424
72114623160644
oct340440426500
985715445287
1030140411200
1111867527049
125a11b67714
132ac44b7653
14165cd58c24
15bb611231a
hex704822d40

30140411200 has 84 divisors (see below), whose sum is σ = 74553299712. Its totient is φ = 11992921600.

The previous prime is 30140411177. The next prime is 30140411201. The reversal of 30140411200 is 211404103.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30140411201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256287 + ... + 354913.

Almost surely, 230140411200 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 30140411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37276649856).

30140411200 is an abundant number, since it is smaller than the sum of its proper divisors (44412888512).

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

30140411200 is a wasteful number, since it uses less digits than its factorization.

30140411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98840 (or 98825 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 30140411200 its reverse (211404103), we get a palindrome (30351815303).

The spelling of 30140411200 in words is "thirty billion, one hundred forty million, four hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 191 200 320 382 400 764 800 955 1528 1600 1910 3056 3820 4775 6112 7640 9550 12224 15280 19100 30560 38200 61120 76400 98627 152800 197254 305600 394508 493135 789016 986270 1578032 1972540 2465675 3156064 3945080 4931350 6312128 7890160 9862700 15780320 18837757 19725400 31560640 37675514 39450800 75351028 78901600 94188785 150702056 157803200 188377570 301404112 376755140 470943925 602808224 753510280 941887850 1205616448 1507020560 1883775700 3014041120 3767551400 6028082240 7535102800 15070205600 30140411200