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30324132425344 = 274179263327779
BaseRepresentation
bin1101110010100011000110…
…01001000010111010000000
310222100221212221001000100111
412321101203021002322000
512433312310400102334
6144254414130001104
76246563161504012
oct671214311027200
9128327787030314
1030324132425344
11973143522972a
12349902a716194
1313bc726b21884
1476b9a555a1b2
15378c00dd6064
hex1b9463242e80

30324132425344 has 128 divisors (see below), whose sum is σ = 62694215136000. Its totient is φ = 14598943457280.

The previous prime is 30324132425309. The next prime is 30324132425357. The reversal of 30324132425344 is 44352423142303.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 30324132425297 and 30324132425306.

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, 1091606847 + ... + 1091634625.

It is an arithmetic number, because the mean of its divisors is an integer number (489798555750).

Almost surely, 230324132425344 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 30324132425344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31347107568000).

30324132425344 is an abundant number, since it is smaller than the sum of its proper divisors (32370082710656).

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

30324132425344 is a wasteful number, since it uses less digits than its factorization.

30324132425344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30546 (or 30534 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 40.

Adding to 30324132425344 its reverse (44352423142303), we get a palindrome (74676555567647).

The spelling of 30324132425344 in words is "thirty trillion, three hundred twenty-four billion, one hundred thirty-two million, four hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 41 64 79 82 128 158 164 316 328 632 656 1264 1312 2528 2624 2633 3239 5056 5248 5266 6478 10112 10532 12956 21064 25912 27779 42128 51824 55558 84256 103648 107953 111116 168512 207296 208007 215906 222232 337024 414592 416014 431812 444464 832028 863624 888928 1138939 1664056 1727248 1777856 2194541 2277878 3328112 3454496 3555712 4389082 4555756 6656224 6908992 8528287 8778164 9111512 13312448 13817984 17056574 17556328 18223024 26624896 34113148 35112656 36446048 68226296 70225312 72892096 73142107 89976181 136452592 140450624 145784192 146284214 179952362 272905184 280901248 292568428 359904724 545810368 585136856 719809448 1091620736 1170273712 1439618896 2340547424 2879237792 2998826387 4681094848 5758475584 5778226453 5997652774 9362189696 11516951168 11556452906 11995305548 23112905812 23990611096 46225811624 47981222192 92451623248 95962444384 184903246496 191924888768 236907284573 369806492992 383849777536 473814569146 739612985984 947629138292 1895258276584 3790516553168 7581033106336 15162066212672 30324132425344