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30141300024 = 233211197319289
BaseRepresentation
bin11100000100100011…
…111011110100111000
32212210121011200120100
4130010203323310320
5443212133100044
621502520355400
72114633552163
oct340443736470
985717150510
1030141300024
1111867a83910
125a12315b60
132ac4739094
14165d10aada
15bb623a869
hex7048fbd38

30141300024 has 96 divisors (see below), whose sum is σ = 89103596400. Its totient is φ = 9128624640.

The previous prime is 30141300001. The next prime is 30141300041. The reversal of 30141300024 is 42000314103.

30141300024 is a `hidden beast` number, since 301 + 41 + 300 + 0 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1552972 + ... + 1572260.

Almost surely, 230141300024 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 30141300024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44551798200).

30141300024 is an abundant number, since it is smaller than the sum of its proper divisors (58962296376).

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

30141300024 is a wasteful number, since it uses less digits than its factorization.

30141300024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21285 (or 21278 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30141300024 its reverse (42000314103), we get a palindrome (72141614127).

The spelling of 30141300024 in words is "thirty billion, one hundred forty-one million, three hundred thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1973 3946 5919 7892 11838 15784 17757 19289 21703 23676 35514 38578 43406 47352 57867 65109 71028 77156 86812 115734 130218 142056 154312 173601 173624 195327 212179 231468 260436 347202 390654 424358 462936 520872 636537 694404 781308 848716 1273074 1388808 1562616 1697432 1909611 2546148 3819222 5092296 7638444 15276888 38057197 76114394 114171591 152228788 228343182 304457576 342514773 418629167 456686364 685029546 837258334 913372728 1255887501 1370059092 1674516668 2511775002 2740118184 3349033336 3767662503 5023550004 7535325006 10047100008 15070650012 30141300024