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500445414214144 = 297232497613829
BaseRepresentation
bin111000111001001110000011…
…1001001001100101000000000
32102121221010002101000010110121
41301302130013021030220000
51011043244202014323034
64532205241030110024
7210260662614336400
oct16162340711145000
92377833071003417
10500445414214144
11135503787814453
12481658107ab314
1318631a52990499
148b81989cb2800
153cccb012a51b4
hex1c7270724ca00

500445414214144 has 120 divisors (see below), whose sum is σ = 1163202250642740. Its totient is φ = 214469656805376.

The previous prime is 500445414214063. The next prime is 500445414214171. The reversal of 500445414214144 is 441412414544005.

It can be written as a sum of positive squares in 2 ways, for example, as 485165821190400 + 15279593023744 = 22026480^2 + 3908912^2 .

It is a super-2 number, since 2×5004454142141442 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 500445414214144.

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 11 ways as a sum of consecutive naturals, for example, 814977822 + ... + 815591650.

Almost surely, 2500445414214144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 500445414214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581601125321370).

500445414214144 is an abundant number, since it is smaller than the sum of its proper divisors (662756836428596).

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

500445414214144 is an equidigital number, since it uses as much as digits as its factorization.

500445414214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646358 (or 646335 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 43.

Adding to 500445414214144 its reverse (441412414544005), we get a palindrome (941857828758149).

The spelling of 500445414214144 in words is "five hundred trillion, four hundred forty-five billion, four hundred fourteen million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1568 1792 3136 3584 6272 12544 25088 32497 64994 129988 227479 259976 454958 519952 613829 909916 1039904 1227658 1592353 1819832 2079808 2455316 3184706 3639664 4159616 4296803 4910632 6369412 7279328 8319232 8593606 9821264 12738824 14558656 16638464 17187212 19642528 25477648 29117312 30077621 34374424 39285056 50955296 58234624 60155242 68748848 78570112 101910592 116469248 120310484 137497696 157140224 203821184 240620968 274995392 314280448 407642368 481241936 549990784 815284736 962483872 1099981568 1924967744 2199963136 3849935488 7699870976 15399741952 19947601013 39895202026 79790404052 139633207091 159580808104 279266414182 319161616208 558532828364 638323232416 977432449637 1117065656728 1276646464832 1954864899274 2234131313456 2553292929664 3909729798548 4468262626912 5106585859328 7819459597096 8936525253824 10213171718656 15638919194192 17873050507648 31277838388384 35746101015296 62555676776768 71492202030592 125111353553536 250222707107072 500445414214144