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114541223552010 = 23251873679487593
BaseRepresentation
bin11010000010110010110100…
…111100010010010000001010
3120000120000220210211121121100
4122002302310330102100022
5110003120411212131020
61043335302304522230
733061221204023223
oct3202626474222012
9500500823747540
10114541223552010
1133550729680002
1210a1aa34020376
134bbb263919788
14203db7937224a
15d39730426a90
hex682cb4f1240a

114541223552010 has 48 divisors (see below), whose sum is σ = 297966181770504. Its totient is φ = 30528018533376.

The previous prime is 114541223552009. The next prime is 114541223552011. The reversal of 114541223552010 is 10255322145411.

114541223552010 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 4 + 122 + 3 + 5 + 520 + 1 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (114541223552009) and next prime (114541223552011).

It can be written as a sum of positive squares in 4 ways, for example, as 21081073336569 + 93460150215441 = 4591413^2 + 9667479^2 .

It is a super-4 number, since 4×1145412235520104 (a number of 57 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (114541223552011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339575227 + ... + 339912366.

Almost surely, 2114541223552010 is an apocalyptic number.

114541223552010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114541223552010 is an abundant number, since it is smaller than the sum of its proper divisors (183424958218494).

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

114541223552010 is a wasteful number, since it uses less digits than its factorization.

114541223552010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679489479 (or 679489476 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 114541223552010 its reverse (10255322145411), we get a palindrome (124796545697421).

The spelling of 114541223552010 in words is "one hundred fourteen trillion, five hundred forty-one billion, two hundred twenty-three million, five hundred fifty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1873 3746 5619 9365 11238 16857 18730 28095 33714 56190 84285 168570 679487593 1358975186 2038462779 3397437965 4076925558 6115388337 6794875930 10192313895 12230776674 20384627790 30576941685 61153883370 1272680261689 2545360523378 3818040785067 6363401308445 7636081570134 11454122355201 12726802616890 19090203925335 22908244710402 38180407850670 57270611776005 114541223552010