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3431104144 = 2413291513767
BaseRepresentation
bin1100110010000010…
…0111111010010000
322212010020011001021
43030200213322100
524011330313034
61324244245224
7151011622036
oct31440477220
98763204037
103431104144
111500850366
127b90a0814
13428ac6550
14247986556
1515134d6b4
hexcc827e90

3431104144 has 80 divisors (see below), whose sum is σ = 7457022720. Its totient is φ = 1518451200.

The previous prime is 3431104133. The next prime is 3431104223. The reversal of 3431104144 is 4414011343.

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, 908949 + ... + 912715.

It is an arithmetic number, because the mean of its divisors is an integer number (93212784).

Almost surely, 23431104144 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 3431104144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3728511360).

3431104144 is an abundant number, since it is smaller than the sum of its proper divisors (4025918576).

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

3431104144 is a wasteful number, since it uses less digits than its factorization.

3431104144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3968 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 3431104144 is about 58575.6275595917. The cubic root of 3431104144 is about 1508.2660892080.

Adding to 3431104144 its reverse (4414011343), we get a palindrome (7845115487).

The spelling of 3431104144 in words is "three billion, four hundred thirty-one million, one hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 151 208 232 302 377 464 604 754 1208 1508 1963 2416 3016 3767 3926 4379 6032 7534 7852 8758 15068 15704 17516 30136 31408 35032 48971 56927 60272 70064 97942 109243 113854 195884 218486 227708 391768 436972 455416 568817 783536 873944 910832 1137634 1420159 1747888 2275268 2840318 4550536 5680636 7394621 9101072 11361272 14789242 16495693 22722544 29578484 32991386 59156968 65982772 118313936 131965544 214444009 263931088 428888018 857776036 1715552072 3431104144