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2434344220945 = 572136727741183
BaseRepresentation
bin100011011011001010001…
…110001111100100010001
322121201110122010102011001
4203123022032033210101
5304341014110032240
65102153341022001
7340606214316100
oct43331216174421
98551418112131
102434344220945
1185944393875a
12333960b54901
1314873329ab30
1485b74016037
15434c9abb89a
hex236ca38f911

2434344220945 has 96 divisors (see below), whose sum is σ = 3727660704768. Its totient is φ = 1512345364992.

The previous prime is 2434344220937. The next prime is 2434344220967. The reversal of 2434344220945 is 5490224434342.

It is not a de Polignac number, because 2434344220945 - 23 = 2434344220937 is a prime.

It is a super-3 number, since 3×24343442209453 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2434344220895 and 2434344220904.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59089824 + ... + 59131006.

It is an arithmetic number, because the mean of its divisors is an integer number (38829799008).

Almost surely, 22434344220945 is an apocalyptic number.

It is an amenable number.

2434344220945 is a deficient number, since it is larger than the sum of its proper divisors (1293316483823).

2434344220945 is a wasteful number, since it uses less digits than its factorization.

2434344220945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41559 (or 41552 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 46.

The spelling of 2434344220945 in words is "two trillion, four hundred thirty-four billion, three hundred forty-four million, two hundred twenty thousand, nine hundred forty-five".

Divisors: 1 5 7 13 35 49 65 67 91 245 277 335 455 469 637 871 1385 1939 2345 3185 3283 3601 4355 6097 9695 13573 16415 18005 18559 25207 30485 41183 42679 67865 92795 126035 129913 176449 205915 213395 241267 288281 535379 649565 882245 909391 1206335 1441405 1688869 2017967 2676895 2759261 3747653 4546955 8444345 10089835 11407691 11822083 13796305 18738265 19314827 26233571 35870393 57038455 59110415 79853837 96574135 131167855 135203789 148299983 179351965 251092751 399269185 558976859 676018945 741499915 764315297 1038099881 1255463755 1757649257 2794884295 3821576485 5190499405 5350207079 7266699167 8788246285 9936098861 26751035395 36333495835 37451449553 49680494305 69552692027 187257247765 347763460135 486868844189 2434344220945