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130334213344 = 25172314097393
BaseRepresentation
bin111100101100010000…
…1100100010011100000
3110110102012211001010211
41321120201210103200
54113411024311334
6135512534303504
712262542351166
oct1713041442340
9413365731124
10130334213344
11503022a1605
12213147b7b94
13c3a11c12ca
146445a27236
1535cc37ea64
hex1e588644e0

130334213344 has 96 divisors (see below), whose sum is σ = 283741496640. Its totient is φ = 58617495552.

The previous prime is 130334213311. The next prime is 130334213357. The reversal of 130334213344 is 443312433031.

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, 17625712 + ... + 17633104.

It is an arithmetic number, because the mean of its divisors is an integer number (2955640590).

Almost surely, 2130334213344 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 130334213344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141870748320).

130334213344 is an abundant number, since it is smaller than the sum of its proper divisors (153407283296).

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

130334213344 is a wasteful number, since it uses less digits than its factorization.

130334213344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8852 (or 8844 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 130334213344 its reverse (443312433031), we get a palindrome (573646646375).

The spelling of 130334213344 in words is "one hundred thirty billion, three hundred thirty-four million, two hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 23 32 34 46 68 92 136 184 272 368 391 544 736 782 1409 1564 2818 3128 5636 6256 7393 11272 12512 14786 22544 23953 29572 32407 45088 47906 59144 64814 95812 118288 125681 129628 170039 191624 236576 251362 259256 340078 383248 502724 518512 550919 680156 766496 1005448 1037024 1101838 1360312 2010896 2203676 2720624 2890663 4021792 4407352 5441248 5781326 8814704 10416737 11562652 17629408 20833474 23125304 41666948 46250608 83333896 92501216 166667792 177084529 239584951 333335584 354169058 479169902 708338116 958339804 1416676232 1916679608 2833352464 3833359216 4072944167 5666704928 7666718432 8145888334 16291776668 32583553336 65167106672 130334213344