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130444332432 = 24345716193673
BaseRepresentation
bin111100101111100010…
…1101000110110010000
3110110200220000200010120
41321133011220312100
54114122222114212
6135531510430240
712265350350121
oct1713705506620
9413626020116
10130444332432
1150359474717
1221345662380
13c3bac6892b
1464564d0048
1535d6d8288c
hex1e5f168d90

130444332432 has 80 divisors (see below), whose sum is σ = 338019168960. Its totient is φ = 43347695616.

The previous prime is 130444332427. The next prime is 130444332437. The reversal of 130444332432 is 234233444031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130444332427) and next prime (130444332437).

It is a junction number, because it is equal to n+sod(n) for n = 130444332393 and 130444332402.

It is not an unprimeable number, because it can be changed into a prime (130444332437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35512548 + ... + 35516220.

It is an arithmetic number, because the mean of its divisors is an integer number (4225239612).

Almost surely, 2130444332432 is an apocalyptic number.

130444332432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130444332432 is an abundant number, since it is smaller than the sum of its proper divisors (207574836528).

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

130444332432 is a wasteful number, since it uses less digits than its factorization.

130444332432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5760 (or 5754 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 130444332432 its reverse (234233444031), we get a palindrome (364677776463).

The spelling of 130444332432 in words is "one hundred thirty billion, four hundred forty-four million, three hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 457 914 1371 1619 1828 2742 3238 3656 3673 4857 5484 6476 7312 7346 9714 10968 11019 12952 14692 19428 21936 22038 25904 29384 38856 44076 58768 77712 88152 176304 739883 1479766 1678561 2219649 2959532 3357122 4439298 5035683 5919064 5946587 6714244 8878596 10071366 11838128 11893174 13428488 17757192 17839761 20142732 23786348 26856976 35514384 35679522 40285464 47572696 71359044 80570928 95145392 142718088 285436176 2717590259 5435180518 8152770777 10870361036 16305541554 21740722072 32611083108 43481444144 65222166216 130444332432