Search a number
-
+
20311211140144 = 2423131274204579
BaseRepresentation
bin1001001111001000100101…
…00001100110010000110000
32122220201210020010110110121
410213210102201212100300
510130234330022441034
6111110501440540024
74164302514043111
oct447442241462060
978821706113417
1020311211140144
116520a331a3911
122340547621614
13b444539c4a82
145030d4312208
1525351b8de1b4
hex127912866430

20311211140144 has 40 divisors (see below), whose sum is σ = 41067108322560. Its totient is φ = 9713315185728.

The previous prime is 20311211140009. The next prime is 20311211140201. The reversal of 20311211140144 is 44104111211302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2728447 + ... + 6933025.

It is an arithmetic number, because the mean of its divisors is an integer number (1026677708064).

Almost surely, 220311211140144 is an apocalyptic number.

It is an amenable number.

20311211140144 is an abundant number, since it is smaller than the sum of its proper divisors (20755897182416).

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

20311211140144 is a wasteful number, since it uses less digits than its factorization.

20311211140144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4217737 (or 4217731 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 20311211140144 its reverse (44104111211302), we get a palindrome (64415322351446).

The spelling of 20311211140144 in words is "twenty trillion, three hundred eleven billion, two hundred eleven million, one hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 46 92 184 368 13127 26254 52508 105016 210032 301921 603842 1207684 2415368 4204579 4830736 8409158 16818316 33636632 67273264 96705317 193410634 386821268 773642536 1547285072 55193508533 110387017066 220774034132 441548068264 883096136528 1269450696259 2538901392518 5077802785036 10155605570072 20311211140144