Search a number
-
+
334006763740608 = 26371731471569141
BaseRepresentation
bin100101111110001110000001…
…0100000010101110111000000
31121210121201211122111200002210
41023330130002200111313000
5322234331323004144413
63142212331115542120
7130232122655055660
oct11374340240256700
91553551748450083
10334006763740608
1197474522658612
12315648b945a940
131144a919a0436a
145c6a02953c1a0
1528934382de3c3
hex12fc702815dc0

334006763740608 has 224 divisors, whose sum is σ = 1103879228018688. Its totient is φ = 86919623884800.

The previous prime is 334006763740603. The next prime is 334006763740609. The reversal of 334006763740608 is 806047367600433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×3340067637406082 (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 (334006763740603) 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, 235076283 + ... + 236492858.

Almost surely, 2334006763740608 is an apocalyptic number.

It is an amenable number.

334006763740608 is an abundant number, since it is smaller than the sum of its proper divisors (769872464278080).

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

334006763740608 is a wasteful number, since it uses less digits than its factorization.

334006763740608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471569211 (or 471569201 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 57.

The spelling of 334006763740608 in words is "three hundred thirty-four trillion, six billion, seven hundred sixty-three million, seven hundred forty thousand, six hundred eight".