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2243355400314 = 2327237110902883
BaseRepresentation
bin100000101001010010011…
…001101101100001111010
321221110111021222001212200
4200221102121231201322
5243223342440302224
64434325551451030
7321035303164050
oct40512231554172
97843437861780
102243355400314
11795446703a36
1230293b226a76
13133716b44572
147a816a1a1d0
153d54c7d15c9
hex20a5266d87a

2243355400314 has 96 divisors (see below), whose sum is σ = 5878137268224. Its totient is φ = 604455778080.

The previous prime is 2243355400313. The next prime is 2243355400373. The reversal of 2243355400314 is 4130045533422.

2243355400314 is a `hidden beast` number, since 2 + 2 + 4 + 335 + 5 + 4 + 0 + 0 + 314 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2243355400313) 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 47 ways as a sum of consecutive naturals, for example, 5245684 + ... + 5657199.

It is an arithmetic number, because the mean of its divisors is an integer number (61230596544).

Almost surely, 22243355400314 is an apocalyptic number.

2243355400314 is an abundant number, since it is smaller than the sum of its proper divisors (3634781867910).

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

2243355400314 is a wasteful number, since it uses less digits than its factorization.

2243355400314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10902992 (or 10902989 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 2243355400314 in words is "two trillion, two hundred forty-three billion, three hundred fifty-five million, four hundred thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 71 126 138 142 161 207 213 322 414 426 483 497 639 966 994 1278 1449 1491 1633 2898 2982 3266 4473 4899 8946 9798 11431 14697 22862 29394 34293 68586 102879 205758 10902883 21805766 32708649 65417298 76320181 98125947 152640362 196251894 228960543 250766309 457921086 501532618 686881629 752298927 774104693 1373763258 1504597854 1548209386 1755364163 2256896781 2322314079 3510728326 4513793562 4644628158 5266092489 5418732851 6966942237 10532184978 10837465702 13933884474 15798277467 16256198553 17804407939 31596554934 32512397106 35608815878 48768595659 53413223817 97537191318 106826447634 124630855573 160239671451 249261711146 320479342902 373892566719 747785133438 1121677700157 2243355400314