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3230124144 = 243137436967
BaseRepresentation
bin1100000010000111…
…1100100001110000
322100010001022022120
43000201330201300
523103402433034
61252304434240
7143021413362
oct30041744160
98303038276
103230124144
111408359095
12761918980
133c6288180
14228dcad32
1513d89dc49
hexc087c870

3230124144 has 80 divisors (see below), whose sum is σ = 8999757312. Its totient is φ = 992404224.

The previous prime is 3230124137. The next prime is 3230124173. The reversal of 3230124144 is 4414210323.

It is a super-3 number, since 3×32301241443 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460149 + ... + 467115.

Almost surely, 23230124144 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 3230124144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499878656).

3230124144 is an abundant number, since it is smaller than the sum of its proper divisors (5769633168).

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

3230124144 is a wasteful number, since it uses less digits than its factorization.

3230124144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7734 (or 7728 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3230124144 is about 56834.1811236865. The cubic root of 3230124144 is about 1478.2222604134. Note that the first 4 decimals are identical.

Adding to 3230124144 its reverse (4414210323), we get a palindrome (7644334467).

The spelling of 3230124144 in words is "three billion, two hundred thirty million, one hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 743 1486 2229 2972 4458 5944 6967 8916 9659 11888 13934 17832 19318 20901 27868 28977 35664 38636 41802 55736 57954 77272 83604 90571 111472 115908 154544 167208 181142 231816 271713 334416 362284 463632 543426 724568 1086852 1449136 2173704 4347408 5176481 10352962 15529443 20705924 31058886 41411848 62117772 67294253 82823696 124235544 134588506 201882759 248471088 269177012 403765518 538354024 807531036 1076708048 1615062072 3230124144