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155144441550 = 23527352741893
BaseRepresentation
bin1001000001111101010…
…1000100111011001110
3112211110021122012222210
42100133111010323032
510020213434112200
6155134455451250
714131423665060
oct2203725047316
9484407565883
10155144441550
115a883aa123a
1226099686b26
1311826311c07
14771aad1730
154080568650
hex241f544ece

155144441550 has 96 divisors (see below), whose sum is σ = 439858847232. Its totient is φ = 35450686080.

The previous prime is 155144441531. The next prime is 155144441603. The reversal of 155144441550 is 55144441551.

It is a happy number.

155144441550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1551444415502 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 155144441499 and 155144441508.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3682404 + ... + 3724296.

It is an arithmetic number, because the mean of its divisors is an integer number (4581862992).

Almost surely, 2155144441550 is an apocalyptic number.

155144441550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

155144441550 is an abundant number, since it is smaller than the sum of its proper divisors (284714405682).

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

155144441550 is a wasteful number, since it uses less digits than its factorization.

155144441550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45442 (or 45437 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 39.

Subtracting from 155144441550 its reverse (55144441551), we obtain a palindrome (99999999999).

The spelling of 155144441550 in words is "one hundred fifty-five billion, one hundred forty-four million, four hundred forty-one thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 1050 3527 7054 10581 17635 21162 24689 35270 41893 49378 52905 74067 83786 88175 105810 123445 125679 148134 176350 209465 246890 251358 264525 293251 370335 418930 529050 586502 617225 628395 740670 879753 1047325 1234450 1256790 1466255 1759506 1851675 2094650 2932510 3141975 3703350 4398765 6283950 7331275 8797530 14662550 21993825 43987650 147756611 295513222 443269833 738783055 886539666 1034296277 1477566110 2068592554 2216349165 3102888831 3693915275 4432698330 5171481385 6205777662 7387830550 10342962770 11081745825 15514444155 22163491650 25857406925 31028888310 51714813850 77572220775 155144441550