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380442804075 = 335217107309851
BaseRepresentation
bin1011000100101000010…
…10000111111101101011
31100100222201020212202000
411202110022013331223
522213121324212300
6450434545342043
736325504323045
oct5422412077553
91310881225660
10380442804075
11137388054664
1261895637923
1329b4c910c69
14145b0a24a95
159d69998c00
hex5894287f6b

380442804075 has 96 divisors (see below), whose sum is σ = 746916837120. Its totient is φ = 189182016000.

The previous prime is 380442804061. The next prime is 380442804097. The reversal of 380442804075 is 570408244083.

It is a happy number.

It is not a de Polignac number, because 380442804075 - 214 = 380442787691 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 380442804075.

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, 1072900 + ... + 1382750.

It is an arithmetic number, because the mean of its divisors is an integer number (7780383720).

Almost surely, 2380442804075 is an apocalyptic number.

380442804075 is a deficient number, since it is larger than the sum of its proper divisors (366474033045).

380442804075 is a wasteful number, since it uses less digits than its factorization.

380442804075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309994 (or 309983 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 380442804075 in words is "three hundred eighty billion, four hundred forty-two million, eight hundred four thousand, seventy-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 85 107 135 153 225 255 321 425 459 535 675 765 963 1275 1605 1819 2295 2675 2889 3825 4815 5457 8025 9095 11475 14445 16371 24075 27285 45475 49113 72225 81855 136425 245565 309851 409275 929553 1227825 1549255 2788659 4647765 5267467 7746275 8365977 13943295 15802401 23238825 26337335 33154057 41829885 47407203 69716475 79012005 99462171 131686675 142221609 165770285 209149425 237036015 298386513 395060025 497310855 563618969 711108045 828851425 895159539 1185180075 1491932565 1690856907 2486554275 2818094845 3555540225 4475797695 5072570721 7459662825 8454284535 14090474225 15217712163 22378988475 25362853605 42271422675 76088560815 126814268025 380442804075