Search a number
-
+
144272315220 = 223511227962971
BaseRepresentation
bin1000011001011101001…
…1001101001101010100
3111210101120210222110020
42012113103031031110
54330432203041340
6150140000225140
713265126305545
oct2062723151524
9453346728406
10144272315220
1156204a62870
1223b6460b1b0
13107b2a3a277
146da8bca4cc
153b45d379d0
hex21974cd354

144272315220 has 96 divisors (see below), whose sum is σ = 442628153856. Its totient is φ = 34820995200.

The previous prime is 144272315219. The next prime is 144272315221. The reversal of 144272315220 is 22513272441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144272315219) and next prime (144272315221).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144272315221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331666 + ... + 631305.

It is an arithmetic number, because the mean of its divisors is an integer number (4610709936).

Almost surely, 2144272315220 is an apocalyptic number.

144272315220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144272315220 is an abundant number, since it is smaller than the sum of its proper divisors (298355838636).

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

144272315220 is a wasteful number, since it uses less digits than its factorization.

144272315220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963221 (or 963219 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

Adding to 144272315220 its reverse (22513272441), we get a palindrome (166785587661).

The spelling of 144272315220 in words is "one hundred forty-four billion, two hundred seventy-two million, three hundred fifteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 227 330 454 660 681 908 1135 1362 2270 2497 2724 3405 4540 4994 6810 7491 9988 12485 13620 14982 24970 29964 37455 49940 74910 149820 962971 1925942 2888913 3851884 4814855 5777826 9629710 10592681 11555652 14444565 19259420 21185362 28889130 31778043 42370724 52963405 57778260 63556086 105926810 127112172 158890215 211853620 218594417 317780430 437188834 635560860 655783251 874377668 1092972085 1311566502 2185944170 2404538587 2623133004 3278916255 4371888340 4809077174 6557832510 7213615761 9618154348 12022692935 13115665020 14427231522 24045385870 28854463044 36068078805 48090771740 72136157610 144272315220