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153314240304 = 2439689329657
BaseRepresentation
bin1000111011001000111…
…1011010011100110000
3112122201201210100212110
42032302033122130300
510002441421142204
6154233120125320
714035161353301
oct2166217323460
9478651710773
10153314240304
115a024989a25
1225868766840
13115c40a93b4
1475c59d67a8
153ec4a46889
hex23b23da730

153314240304 has 40 divisors (see below), whose sum is σ = 396103866480. Its totient is φ = 51099317248.

The previous prime is 153314240297. The next prime is 153314240309. The reversal of 153314240304 is 403042413351.

153314240304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (153314240309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300244 + ... + 629900.

It is an arithmetic number, because the mean of its divisors is an integer number (9902596662).

Almost surely, 2153314240304 is an apocalyptic number.

It is an amenable number.

153314240304 is an abundant number, since it is smaller than the sum of its proper divisors (242789626176).

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

153314240304 is a wasteful number, since it uses less digits than its factorization.

153314240304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339357 (or 339351 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 153314240304 its reverse (403042413351), we get a palindrome (556356653655).

The spelling of 153314240304 in words is "one hundred fifty-three billion, three hundred fourteen million, two hundred forty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 9689 19378 29067 38756 58134 77512 116268 155024 232536 329657 465072 659314 988971 1318628 1977942 2637256 3955884 5274512 7911768 15823536 3194046673 6388093346 9582140019 12776186692 19164280038 25552373384 38328560076 51104746768 76657120152 153314240304