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44133142151031 = 3106979907172219
BaseRepresentation
bin10100000100011100011000…
…10000101011111101110111
312210021002100120001202202120
422002032030100223331313
521241034133342313111
6233510252520411023
712203341255466313
oct1202161420537567
9183232316052676
1044133142151031
11130758402173aa
124b49370016a73
131b8197823068b
14ac80ac330b43
1551800e80d406
hex28238c42bf77

44133142151031 has 16 divisors (see below), whose sum is σ = 58900314652800. Its totient is φ = 29394033221088.

The previous prime is 44133142151027. The next prime is 44133142151041. The reversal of 44133142151031 is 13015124133144.

It is a happy number.

44133142151031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 44133142151031 - 22 = 44133142151027 is a prime.

It is a super-2 number, since 2×441331421510312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44133142150983 and 44133142151001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44133142151041) 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 15 ways as a sum of consecutive naturals, for example, 256175640 + ... + 256347858.

It is an arithmetic number, because the mean of its divisors is an integer number (3681269665800).

Almost surely, 244133142151031 is an apocalyptic number.

44133142151031 is a deficient number, since it is larger than the sum of its proper divisors (14767172501769).

44133142151031 is a wasteful number, since it uses less digits than its factorization.

44133142151031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253198.

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 44133142151031 its reverse (13015124133144), we get a palindrome (57148266284175).

The spelling of 44133142151031 in words is "forty-four trillion, one hundred thirty-three billion, one hundred forty-two million, one hundred fifty-one thousand, thirty-one".

Divisors: 1 3 1069 3207 79907 172219 239721 516657 85420583 184102111 256261749 552306333 13761503633 41284510899 14711047383677 44133142151031