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30044442024 = 23332330719699
BaseRepresentation
bin11011111110110010…
…011100110110101000
32212112211220210101000
4123332302130312220
5443012334121044
621445140355000
72112346354302
oct337662346650
985484823330
1030044442024
1111818338a83
1259a59a5a60
132aaa65575c
1416502d6972
15bac9a6d69
hex6fec9cda8

30044442024 has 128 divisors (see below), whose sum is σ = 87373440000. Its totient is φ = 9547699392.

The previous prime is 30044442011. The next prime is 30044442049. The reversal of 30044442024 is 42024444003.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 1515327 + ... + 1535025.

It is an arithmetic number, because the mean of its divisors is an integer number (682605000).

Almost surely, 230044442024 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 30044442024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43686720000).

30044442024 is an abundant number, since it is smaller than the sum of its proper divisors (57328997976).

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

30044442024 is a wasteful number, since it uses less digits than its factorization.

30044442024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20044 (or 20034 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 30044442024 its reverse (42024444003), we get a palindrome (72068886027).

The spelling of 30044442024 in words is "thirty billion, forty-four million, four hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 307 414 552 614 621 828 921 1228 1242 1656 1842 2456 2484 2763 3684 4968 5526 7061 7368 8289 11052 14122 16578 19699 21183 22104 28244 33156 39398 42366 56488 59097 63549 66312 78796 84732 118194 127098 157592 169464 177291 190647 236388 254196 354582 381294 453077 472776 508392 531873 709164 762588 906154 1063746 1359231 1418328 1525176 1812308 2127492 2718462 3624616 4077693 4254984 5436924 6047593 8155386 10873848 12095186 12233079 16310772 18142779 24190372 24466158 32621544 36285558 48380744 48932316 54428337 72571116 97864632 108856674 139094639 145142232 163285011 217713348 278189278 326570022 417283917 435426696 556378556 653140044 834567834 1112757112 1251851751 1306280088 1669135668 2503703502 3338271336 3755555253 5007407004 7511110506 10014814008 15022221012 30044442024