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1131704144 = 241719239521
BaseRepresentation
bin100001101110100…
…0110111101010000
32220212111112020022
41003131012331100
54304204013034
6304144203012
740021216664
oct10335067520
92825445208
101131704144
115308aa08a
12277009468
1315060152c
14aa4328a4
1569549b2e
hex43746f50

1131704144 has 80 divisors (see below), whose sum is σ = 2550372480. Its totient is φ = 482549760.

The previous prime is 1131704137. The next prime is 1131704159. The reversal of 1131704144 is 4414071311.

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, 114104 + ... + 123624.

It is an arithmetic number, because the mean of its divisors is an integer number (31879656).

Almost surely, 21131704144 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 1131704144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275186240).

1131704144 is an abundant number, since it is smaller than the sum of its proper divisors (1418668336).

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

1131704144 is a wasteful number, since it uses less digits than its factorization.

1131704144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9588 (or 9582 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 1131704144 is about 33640.8106917773. The cubic root of 1131704144 is about 1042.1037740353.

Adding to 1131704144 its reverse (4414071311), we get a palindrome (5545775455).

The spelling of 1131704144 in words is "one billion, one hundred thirty-one million, seven hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 19 23 34 38 46 68 76 92 136 152 184 272 304 323 368 391 437 646 782 874 1292 1564 1748 2584 3128 3496 5168 6256 6992 7429 9521 14858 19042 29716 38084 59432 76168 118864 152336 161857 180899 218983 323714 361798 437966 647428 723596 875932 1294856 1447192 1751864 2589712 2894384 3075283 3503728 3722711 4160677 6150566 7445422 8321354 12301132 14890844 16642708 24602264 29781688 33285416 49204528 59563376 66570832 70731509 141463018 282926036 565852072 1131704144