Search a number
-
+
378514051224213 = 34725138327924821
BaseRepresentation
bin101011000010000011010101…
…1100100001101001010010101
31211122012120221001000121202010
41112010012223210031022111
5344103033234103133323
63421010542105334433
7142504511022454212
oct12604065344151225
91748176831017663
10378514051224213
11aa6739a9090a73
1236552685a97419
131332894cc55c98
14696826bd6cb09
152db604479dc93
hex15841ab90d295

378514051224213 has 32 divisors (see below), whose sum is σ = 518828001656832. Its totient is φ = 245347468520000.

The previous prime is 378514051224203. The next prime is 378514051224271. The reversal of 378514051224213 is 312422150415873.

It is a cyclic number.

It is not a de Polignac number, because 378514051224213 - 214 = 378514051207829 is a prime.

It is a super-2 number, since 2×3785140512242132 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378514051224203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407658 + ... + 27517163.

It is an arithmetic number, because the mean of its divisors is an integer number (16213375051776).

Almost surely, 2378514051224213 is an apocalyptic number.

It is an amenable number.

378514051224213 is a deficient number, since it is larger than the sum of its proper divisors (140313950432619).

378514051224213 is a wasteful number, since it uses less digits than its factorization.

378514051224213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27925505.

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 378514051224213 in words is "three hundred seventy-eight trillion, five hundred fourteen billion, fifty-one million, two hundred twenty-four thousand, two hundred thirteen".

Divisors: 1 3 47 141 251 383 753 1149 11797 18001 35391 54003 96133 288399 4518251 13554753 27924821 83774463 1312466587 3937399761 7009130071 10695206443 21027390213 32085619329 329429113337 502674702821 988287340011 1508024108463 2684496817193 8053490451579 126171350408071 378514051224213