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133232402144 = 2531412109733
BaseRepresentation
bin111110000010101000…
…1010001111011100000
3110201220012021021202202
41330011101101323200
54140324443332034
6141112304432332
712424423506212
oct1740521217340
9421805237682
10133232402144
115155a243766
12219a33186a8
13c74377981a
14663c8ca5b2
1536eba1247e
hex1f05451ee0

133232402144 has 144 divisors (see below), whose sum is σ = 280455880320. Its totient is φ = 62232883200.

The previous prime is 133232402089. The next prime is 133232402179. The reversal of 133232402144 is 441204232331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181762802 + ... + 181763534.

It is an arithmetic number, because the mean of its divisors is an integer number (1947610280).

Almost surely, 2133232402144 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 133232402144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140227940160).

133232402144 is an abundant number, since it is smaller than the sum of its proper divisors (147223478176).

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

133232402144 is a wasteful number, since it uses less digits than its factorization.

133232402144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 133232402144 its reverse (441204232331), we get a palindrome (574436634475).

The spelling of 133232402144 in words is "one hundred thirty-three billion, two hundred thirty-two million, four hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 41 62 82 109 124 164 218 248 328 436 496 656 733 872 992 1271 1312 1466 1681 1744 2542 2932 3362 3379 3488 4469 5084 5864 6724 6758 8938 10168 11728 13448 13516 17876 20336 22723 23456 26896 27032 30053 35752 40672 45446 52111 53792 54064 60106 71504 79897 90892 104222 108128 120212 138539 143008 159794 181784 183229 208444 240424 277078 319588 363568 366458 416888 480848 554156 639176 727136 732916 833776 931643 961696 1108312 1232173 1278352 1465832 1667552 1863286 2216624 2464346 2476807 2556704 2931664 3275777 3726572 4433248 4928692 4953614 5680099 5863328 6551554 7453144 9857384 9907228 11360198 13103108 14906288 19714768 19814456 22720396 26206216 29812576 38197363 39429536 39628912 45440792 52412432 76394726 79257824 90881584 101549087 104824864 134306857 152789452 181763168 203098174 268613714 305578904 406196348 537227428 611157808 812392696 1074454856 1222315616 1624785392 2148909712 3249570784 4163512567 4297819424 8327025134 16654050268 33308100536 66616201072 133232402144