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4194800145 = 32519223103109
BaseRepresentation
bin1111101000000111…
…1001001000010001
3101211100020221000100
43322001321020101
532042332101040
61532125043013
7205644133014
oct37201711021
911740227010
104194800145
111862945488
129909b6469
1351b0a7c83
142bb18137b
15198403b30
hexfa079211

4194800145 has 144 divisors (see below), whose sum is σ = 8159374080. Its totient is φ = 1989225216.

The previous prime is 4194800131. The next prime is 4194800147. The reversal of 4194800145 is 5410084914.

It is not a de Polignac number, because 4194800145 - 26 = 4194800081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4194800147) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38484351 + ... + 38484459.

It is an arithmetic number, because the mean of its divisors is an integer number (56662320).

Almost surely, 24194800145 is an apocalyptic number.

4194800145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4194800145 is a deficient number, since it is larger than the sum of its proper divisors (3964573935).

4194800145 is a wasteful number, since it uses less digits than its factorization.

4194800145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4194800145 is about 64767.2768070420. The cubic root of 4194800145 is about 1612.7625301776.

The spelling of 4194800145 in words is "four billion, one hundred ninety-four million, eight hundred thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 19 23 45 57 69 95 103 109 115 171 207 285 309 327 345 361 437 515 545 855 927 981 1035 1083 1311 1545 1635 1805 1957 2071 2185 2369 2507 3249 3933 4635 4905 5415 5871 6213 6555 7107 7521 8303 9785 10355 11227 11845 12535 16245 17613 18639 19665 21321 22563 24909 29355 31065 33681 35535 37183 37605 39349 41515 45011 47633 56135 74727 88065 93195 101043 106605 111549 112815 118047 124545 135033 142899 168405 185915 196745 213313 225055 238165 258221 334647 354141 373635 405099 428697 505215 557745 590235 639939 675165 714495 774663 855209 905027 1066565 1291105 1673235 1770705 1919817 2025495 2143485 2323989 2565627 2715081 3199695 3873315 4052947 4276045 4525135 4906199 7696881 8145243 9599085 11619945 12158841 12828135 13575405 14718597 20264735 24530995 36476523 38484405 40726215 44155791 60794205 73592985 93217781 182382615 220778955 279653343 466088905 838960029 1398266715 4194800145