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2324414216355 = 357117327568217
BaseRepresentation
bin100001110100110001111…
…000100011100010100011
322020012201102102120102120
4201310301320203202203
5301040400014410410
64535453211315323
7326635102562640
oct41646170434243
98205642376376
102324414216355
118168622561a0
123165a174bb43
1313b26443a63a
1480706252dc7
15406e3bed570
hex21d31e238a3

2324414216355 has 64 divisors (see below), whose sum is σ = 4700270896128. Its totient is φ = 952757544960.

The previous prime is 2324414216297. The next prime is 2324414216431. The reversal of 2324414216355 is 5536124144232.

It is not a de Polignac number, because 2324414216355 - 27 = 2324414216227 is a prime.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 13699794 + ... + 13868423.

It is an arithmetic number, because the mean of its divisors is an integer number (73441732752).

Almost surely, 22324414216355 is an apocalyptic number.

2324414216355 is an abundant number, since it is smaller than the sum of its proper divisors (2375856679773).

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

2324414216355 is a wasteful number, since it uses less digits than its factorization.

2324414216355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27568316.

The product of its digits is 691200, while the sum is 42.

The spelling of 2324414216355 in words is "two trillion, three hundred twenty-four billion, four hundred fourteen million, two hundred sixteen thousand, three hundred fifty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 73 77 105 165 219 231 365 385 511 803 1095 1155 1533 2409 2555 4015 5621 7665 12045 16863 28105 84315 27568217 82704651 137841085 192977519 303250387 413523255 578932557 909751161 964887595 1516251935 2012479841 2122752709 2894662785 4548755805 6037439523 6368258127 10062399205 10613763545 14087358887 22137278251 30187197615 31841290635 42262076661 66411834753 70436794435 110686391255 154960947757 211310383305 332059173765 464882843271 774804738785 2324414216355