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40445213130 = 23257577111263
BaseRepresentation
bin100101101010101110…
…001111100111001010
310212101200210201002200
4211222232033213022
51130312433310010
630325201141030
72631161432160
oct455256174712
9125350721080
1040445213130
11161752a5283
127a0902a776
133a7739449a
141d59781230
1510bab2bcc0
hex96ab8f9ca

40445213130 has 96 divisors (see below), whose sum is σ = 120389428224. Its totient is φ = 9228515328.

The previous prime is 40445213129. The next prime is 40445213161. The reversal of 40445213130 is 3131254404.

It is a happy number.

40445213130 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 521 + 3 + 130 = 666.

It is a super-2 number, since 2×404452131302 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40445213094 and 40445213103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307879 + ... + 419141.

It is an arithmetic number, because the mean of its divisors is an integer number (1254056544).

Almost surely, 240445213130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40445213130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60194714112).

40445213130 is an abundant number, since it is smaller than the sum of its proper divisors (79944215094).

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

40445213130 is a wasteful number, since it uses less digits than its factorization.

40445213130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111860 (or 111857 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 40445213130 its reverse (3131254404), we get a palindrome (43576467534).

The spelling of 40445213130 in words is "forty billion, four hundred forty-five million, two hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 577 630 1154 1731 2885 3462 4039 5193 5770 8078 8655 10386 12117 17310 20195 24234 25965 36351 40390 51930 60585 72702 111263 121170 181755 222526 333789 363510 556315 667578 778841 1001367 1112630 1557682 1668945 2002734 2336523 3337890 3894205 4673046 5006835 7009569 7788410 10013670 11682615 14019138 23365230 35047845 64198751 70095690 128397502 192596253 320993755 385192506 449391257 577788759 641987510 898782514 962981265 1155577518 1348173771 1925962530 2246956285 2696347542 2888943795 4044521313 4493912570 5777887590 6740868855 8089042626 13481737710 20222606565 40445213130