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30981500244 = 22331919378229
BaseRepresentation
bin11100110110101001…
…000010110101010100
32221222011011021121000
4130312221002311110
51001422231001434
622122133023300
72144515256412
oct346651026524
987864137530
1030981500244
1112159281762
126007784b30
132bc9825986
1416dc93c2b2
15c14da3b99
hex736a42d54

30981500244 has 96 divisors (see below), whose sum is σ = 84989072000. Its totient is φ = 9732814848.

The previous prime is 30981500239. The next prime is 30981500257. The reversal of 30981500244 is 44200518903.

30981500244 is a `hidden beast` number, since 30 + 9 + 81 + 500 + 2 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30981500199 and 30981500208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356922 + ... + 435150.

Almost surely, 230981500244 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 30981500244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42494536000).

30981500244 is an abundant number, since it is smaller than the sum of its proper divisors (54007571756).

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

30981500244 is a wasteful number, since it uses less digits than its factorization.

30981500244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78454 (or 78446 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 30981500244 in words is "thirty billion, nine hundred eighty-one million, five hundred thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 193 228 342 386 513 579 684 772 1026 1158 1737 2052 2316 3474 3667 5211 6948 7334 10422 11001 14668 20844 22002 33003 44004 66006 78229 99009 132012 156458 198018 234687 312916 396036 469374 704061 938748 1408122 1486351 2112183 2816244 2972702 4224366 4459053 5945404 8448732 8918106 13377159 15098197 17836212 26754318 30196394 40131477 45294591 53508636 60392788 80262954 90589182 135883773 160525908 181178364 271767546 286865743 407651319 543535092 573731486 815302638 860597229 1147462972 1630605276 1721194458 2581791687 3442388916 5163583374 7745375061 10327166748 15490750122 30981500244