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132226921424 = 241341139331337
BaseRepresentation
bin111101100100101010…
…1101011001111010000
3110122022010021120112002
41323021111223033100
54131300042441144
6140424425453132
712360464200433
oct1731125531720
9418263246462
10132226921424
1151093717164
12217626411a8
13c613370b10
14658515381a
15368d5ec14e
hex1ec956b3d0

132226921424 has 160 divisors (see below), whose sum is σ = 286366254720. Its totient is φ = 58757529600.

The previous prime is 132226921381. The next prime is 132226921429. The reversal of 132226921424 is 424129622231.

132226921424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132226921429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392364584 + ... + 392364920.

It is an arithmetic number, because the mean of its divisors is an integer number (1789789092).

Almost surely, 2132226921424 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 132226921424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143183127360).

132226921424 is an abundant number, since it is smaller than the sum of its proper divisors (154139333296).

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

132226921424 is a wasteful number, since it uses less digits than its factorization.

132226921424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 863 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

The spelling of 132226921424 in words is "one hundred thirty-two billion, two hundred twenty-six million, nine hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 139 164 208 278 328 331 337 533 556 656 662 674 1066 1112 1324 1348 1807 2132 2224 2648 2696 3614 4264 4303 4381 5296 5392 5699 7228 8528 8606 8762 11398 13571 13817 14456 17212 17524 22796 27142 27634 28912 34424 35048 45592 46009 46843 54284 55268 68848 70096 74087 91184 92018 93686 108568 110536 111547 148174 176423 179621 184036 187372 217136 221072 223094 296348 352846 359242 368072 374744 446188 592696 598117 608959 705692 718484 736144 749488 892376 1185392 1196234 1217918 1411384 1436968 1450111 1784752 1886369 1920563 2392468 2435836 2822768 2873936 2900222 3772738 3841126 4573427 4784936 4871672 5800444 7545476 7682252 9146854 9569872 9743344 11600888 15090952 15364504 15505033 18293708 23201776 24522797 24967319 30181904 30729008 31010066 36587416 49045594 49934638 59454551 62020132 73174832 98091188 99869276 118909102 124040264 196182376 199738552 201565429 237818204 248080528 392364752 399477104 403130858 475636408 635706353 806261716 951272816 1271412706 1612523432 2542825412 3225046864 5085650824 8264182589 10171301648 16528365178 33056730356 66113460712 132226921424