Search a number
-
+
144442270577715 = 351121132353128237
BaseRepresentation
bin100000110101111010010110…
…001110100111010000110011
3200221102112202012001110002120
4200311322112032213100303
5122413020232231441330
61231111510230245323
742265416055134135
oct4065722616472063
9627375665043076
10144442270577715
1142029694158960
1214249a681b6843
136279b0343cb16
14279508676b055
1511a741cd85c10
hex835e963a7433

144442270577715 has 64 divisors (see below), whose sum is σ = 253322092058112. Its totient is φ = 69698010009600.

The previous prime is 144442270577699. The next prime is 144442270577767. The reversal of 144442270577715 is 517775072244441.

It is a happy number.

144442270577715 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144442270577715 - 24 = 144442270577699 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1126305577 + ... + 1126433813.

It is an arithmetic number, because the mean of its divisors is an integer number (3958157688408).

Almost surely, 2144442270577715 is an apocalyptic number.

144442270577715 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144442270577715 is a deficient number, since it is larger than the sum of its proper divisors (108879821480397).

144442270577715 is a wasteful number, since it uses less digits than its factorization.

144442270577715 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160820.

The product of its (nonzero) digits is 61465600, while the sum is 60.

The spelling of 144442270577715 in words is "one hundred forty-four trillion, four hundred forty-two billion, two hundred seventy million, five hundred seventy-seven thousand, seven hundred fifteen".

Divisors: 1 3 5 11 15 33 55 165 211 633 1055 2321 3165 6963 11605 32353 34815 97059 128237 161765 355883 384711 485295 641185 1067649 1410607 1779415 1923555 4231821 5338245 6826483 7053035 20479449 21159105 27058007 34132415 75091313 81174021 102397245 135290035 225273939 297638077 375456565 405870105 892914231 1126369695 1488190385 4148851661 4464571155 12446554983 20744258305 45637368271 62232774915 136912104813 228186841355 684560524065 875407700471 2626223101413 4377038502355 9629484705181 13131115507065 28888454115543 48147423525905 144442270577715