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30054405444 = 22371933375501
BaseRepresentation
bin11011111111011000…
…011101010101000100
32212120112122222121120
4123333120131111010
5443022411433234
621450134113540
72112530142210
oct337730352504
985515588546
1030054405444
1111822a23708
1259a91ab8b0
132aac73377b
14165176b940
15bad7c4049
hex6ff61d544

30054405444 has 96 divisors (see below), whose sum is σ = 80814080256. Its totient is φ = 8515584000.

The previous prime is 30054405443. The next prime is 30054405457. The reversal of 30054405444 is 44450445003.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (30054405443) 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, 5460694 + ... + 5466194.

It is an arithmetic number, because the mean of its divisors is an integer number (841813336).

Almost surely, 230054405444 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 30054405444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40407040128).

30054405444 is an abundant number, since it is smaller than the sum of its proper divisors (50759674812).

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

30054405444 is a wasteful number, since it uses less digits than its factorization.

30054405444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6045 (or 6043 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 33.

The spelling of 30054405444 in words is "thirty billion, fifty-four million, four hundred five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 193 337 386 579 674 772 1011 1158 1348 1351 2022 2316 2359 2702 4044 4053 4718 5404 5501 7077 8106 9436 11002 14154 16212 16503 22004 28308 33006 38507 65041 66012 77014 115521 130082 154028 195123 231042 260164 390246 455287 462084 780492 910574 1061693 1365861 1821148 1853837 2123386 2731722 3185079 3707674 4246772 5463444 5561511 6370158 7415348 7431851 11123022 12740316 12976859 14863702 22246044 22295553 25953718 29727404 38930577 44591106 51907436 77861154 89182212 155722308 357790541 715581082 1073371623 1431162164 2146743246 2504533787 4293486492 5009067574 7513601361 10018135148 15027202722 30054405444