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3131745444 = 223431092
BaseRepresentation
bin1011101010101010…
…1010010010100100
322002020221011010000
42322222222102210
522403211323234
61234432101300
7140415253122
oct27252522244
98066834100
103131745444
111367874783
12734994830
133aba91619
14219cdc912
15134e19899
hexbaaaa4a4

3131745444 has 45 divisors (see below), whose sum is σ = 8189635377. Its totient is φ = 1043579376.

The previous prime is 3131745437. The next prime is 3131745473. The reversal of 3131745444 is 4445471313.

The square root of 3131745444 is 55962.

It is a perfect power (a square), and thus also a powerful number.

3131745444 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in only one way, i.e., 555167844 + 2576577600 = 23562^2 + 50760^2 .

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 = 3131745399 and 3131745408.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1005762 + ... + 1008870.

Almost surely, 23131745444 is an apocalyptic number.

3131745444 is the 55962-nd square number.

It is an amenable number.

3131745444 is an abundant number, since it is smaller than the sum of its proper divisors (5057889933).

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

3131745444 is an frugal number, since it uses more digits than its factorization.

3131745444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6234 (or 3114 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The cubic root of 3131745444 is about 1463.0600490186.

Multiplying 3131745444 by its sum of digits (36), we get a square (112742835984 = 3357722).

3131745444 divided by its sum of digits (36) gives a square (86992929 = 93272).

The spelling of 3131745444 in words is "three billion, one hundred thirty-one million, seven hundred forty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 3109 6218 9327 12436 18654 27981 37308 55962 83943 111924 167886 251829 335772 503658 1007316 9665881 19331762 28997643 38663524 57995286 86992929 115990572 173985858 260978787 347971716 521957574 782936361 1043915148 1565872722 3131745444