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32314304112 = 243192313911083
BaseRepresentation
bin11110000110000101…
…010010011001110000
310002102001001201210020
4132012011102121300
51012134430212422
622502303403440
72222531024106
oct360605223160
9102361051706
1032314304112
1112782644a62
126319bb3580
13307c9a7c0c
1417c795bc76
15c91dc395c
hex786152670

32314304112 has 160 divisors (see below), whose sum is σ = 92360755200. Its totient is φ = 9689746176.

The previous prime is 32314304107. The next prime is 32314304129. The reversal of 32314304112 is 21140341323.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2910123 + ... + 2921205.

It is an arithmetic number, because the mean of its divisors is an integer number (577254720).

Almost surely, 232314304112 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 32314304112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46180377600).

32314304112 is an abundant number, since it is smaller than the sum of its proper divisors (60046451088).

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

32314304112 is a wasteful number, since it uses less digits than its factorization.

32314304112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11275 (or 11269 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 32314304112 its reverse (21140341323), we get a palindrome (53454645435).

The spelling of 32314304112 in words is "thirty-two billion, three hundred fourteen million, three hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 46 48 57 69 76 92 114 138 139 152 184 228 276 278 304 368 417 437 456 552 556 834 874 912 1104 1112 1311 1668 1748 2224 2622 2641 3197 3336 3496 5244 5282 6394 6672 6992 7923 9591 10488 10564 11083 12788 15846 19182 20976 21128 22166 25576 31692 33249 38364 42256 44332 51152 60743 63384 66498 76728 88664 121486 126768 132996 153456 177328 182229 210577 242972 254909 265992 364458 421154 485944 509818 531984 631731 728916 764727 842308 971888 1019636 1263462 1457832 1529454 1540537 1684616 2039272 2526924 2915664 3058908 3081074 3369232 4078544 4621611 4843271 5053848 6117816 6162148 9243222 9686542 10107696 12235632 12324296 14529813 18486444 19373084 24648592 29059626 29270203 35432351 36972888 38746168 58119252 58540406 70864702 73945776 77492336 87810609 106297053 116238504 117080812 141729404 175621218 212594106 232477008 234161624 283458808 351242436 425188212 468323248 566917616 673214669 702484872 850376424 1346429338 1404969744 1700752848 2019644007 2692858676 4039288014 5385717352 8078576028 10771434704 16157152056 32314304112