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30432300140 = 225112910744579
BaseRepresentation
bin11100010101111010…
…000000110001101100
32220112212202000200102
4130111322000301230
5444311132101030
621551433450232
72125066166054
oct342572006154
986485660612
1030432300140
11119a7270580
125a93870978
132b3cb055b8
141689a1a564
15bd1a6cc45
hex715e80c6c

30432300140 has 96 divisors (see below), whose sum is σ = 72797356800. Its totient is φ = 10584600320.

The previous prime is 30432300139. The next prime is 30432300149. The reversal of 30432300140 is 4100323403.

It is a super-2 number, since 2×304323001402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (30432300149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 660371 + ... + 704949.

It is an arithmetic number, because the mean of its divisors is an integer number (758305800).

Almost surely, 230432300140 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 30432300140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36398678400).

30432300140 is an abundant number, since it is smaller than the sum of its proper divisors (42365056660).

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

30432300140 is a wasteful number, since it uses less digits than its factorization.

30432300140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44735 (or 44733 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 30432300140 its reverse (4100323403), we get a palindrome (34532623543).

The spelling of 30432300140 in words is "thirty billion, four hundred thirty-two million, three hundred thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 107 110 116 145 214 220 290 319 428 535 580 638 1070 1177 1276 1595 2140 2354 3103 3190 4708 5885 6206 6380 11770 12412 15515 23540 31030 34133 44579 62060 68266 89158 136532 170665 178316 222895 341330 445790 490369 682660 891580 980738 1292791 1961476 2451845 2585582 4769953 4903690 5171164 6463955 9539906 9807380 12927910 14220701 19079812 23849765 25855820 28441402 47699530 52469483 56882804 71103505 95399060 104938966 138328637 142207010 209877932 262347415 276657274 284414020 524694830 553314548 691643185 1049389660 1383286370 1521615007 2766572740 3043230014 6086460028 7608075035 15216150070 30432300140