Search a number
-
+
114154352313521 = 131271731009396103
BaseRepresentation
bin11001111101001010100001…
…100111101000010010110001
3112222012001100002100102122212
4121331022201213220102301
5104430301103143013041
61042441441355341505
733021244160531642
oct3175124147502261
9488161302312585
10114154352313521
1133411652979533
1210977a65751895
134b9092b253c90
142029158a956c9
15d2e63b4168eb
hex67d2a19e84b1

114154352313521 has 32 divisors (see below), whose sum is σ = 124743479992320. Its totient is φ = 103835965492224.

The previous prime is 114154352313517. The next prime is 114154352313553. The reversal of 114154352313521 is 125313253451411.

It is a cyclic number.

It is not a de Polignac number, because 114154352313521 - 22 = 114154352313517 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114154352319521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287995556 + ... + 288391658.

It is an arithmetic number, because the mean of its divisors is an integer number (3898233749760).

Almost surely, 2114154352313521 is an apocalyptic number.

It is an amenable number.

114154352313521 is a deficient number, since it is larger than the sum of its proper divisors (10589127678799).

114154352313521 is a wasteful number, since it uses less digits than its factorization.

114154352313521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397425.

The product of its digits is 216000, while the sum is 41.

The spelling of 114154352313521 in words is "one hundred fourteen trillion, one hundred fifty-four billion, three hundred fifty-two million, three hundred thirteen thousand, five hundred twenty-one".

Divisors: 1 13 127 173 1009 1651 2249 13117 21971 128143 174557 285623 396103 1665859 2269241 5149339 22168739 50305081 68525819 288193607 399667927 653966053 890835647 5195683051 8702779013 50757826729 69142551371 113136127169 659851747477 898853167823 8781104024117 114154352313521