Search a number
-
+
144216027005865 = 35193119185462109
BaseRepresentation
bin100000110010100111101001…
…000011111000001110101001
3200220121220202212212011220120
4200302213221003320032221
5122400313410403141430
61230415532253313453
742243156406404633
oct4062475103701651
9626556685764816
10144216027005865
1141a517455a4801
1214212047795889
136261689078709
1427881430ada53
1511a15ca998610
hex8329e90f83a9

144216027005865 has 64 divisors (see below), whose sum is σ = 252038017843200. Its totient is φ = 70147298246400.

The previous prime is 144216027005819. The next prime is 144216027005881. The reversal of 144216027005865 is 568500720612441.

It is not a de Polignac number, because 144216027005865 - 212 = 144216027001769 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, 41043570 + ... + 44418539.

It is an arithmetic number, because the mean of its divisors is an integer number (3938094028800).

Almost surely, 2144216027005865 is an apocalyptic number.

144216027005865 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144216027005865 is a deficient number, since it is larger than the sum of its proper divisors (107821990837335).

144216027005865 is a wasteful number, since it uses less digits than its factorization.

144216027005865 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85462358.

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 144216027005865 in words is "one hundred forty-four trillion, two hundred sixteen billion, twenty-seven million, five thousand, eight hundred sixty-five".

Divisors: 1 3 5 15 19 31 57 93 95 155 191 285 465 573 589 955 1767 2865 2945 3629 5921 8835 10887 17763 18145 29605 54435 88815 112499 337497 562495 1687485 85462109 256386327 427310545 1281931635 1623780071 2649325379 4871340213 7947976137 8118900355 13246626895 16323262819 24356701065 39739880685 48969788457 50337182201 81616314095 151011546603 244848942285 251685911005 310141993561 506021147389 755057733015 930425980683 1518063442167 1550709967805 2530105736945 4652129903415 7590317210835 9614401800391 28843205401173 48072009001955 144216027005865