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224440104421143 = 3213193711872298839
BaseRepresentation
bin110011000010000010001000…
…101100101000011100010111
31002102200021010202220022112100
4303002002020230220130113
5213404211313212434033
62113202205514453143
765163156005242302
oct6302021054503427
91072607122808470
10224440104421143
1165571571893556
1221209bb4a341b3
1398307c358cb90
143d5cd5d773b39
151ae330753a513
hexcc2088b28717

224440104421143 has 96 divisors (see below), whose sum is σ = 377754951974400. Its totient is φ = 127203938673408.

The previous prime is 224440104421123. The next prime is 224440104421171. The reversal of 224440104421143 is 341124401044422.

224440104421143 is a `hidden beast` number, since 2 + 2 + 4 + 440 + 10 + 44 + 21 + 143 = 666.

It is not a de Polignac number, because 224440104421143 - 28 = 224440104420887 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 224440104421098 and 224440104421107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224440104421123) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 96482518 + ... + 98781356.

It is an arithmetic number, because the mean of its divisors is an integer number (3934947416400).

Almost surely, 2224440104421143 is an apocalyptic number.

224440104421143 is a deficient number, since it is larger than the sum of its proper divisors (153314847553257).

224440104421143 is a wasteful number, since it uses less digits than its factorization.

224440104421143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300101 (or 2300098 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 224440104421143 its reverse (341124401044422), we get a palindrome (565564505465565).

The spelling of 224440104421143 in words is "two hundred twenty-four trillion, four hundred forty billion, one hundred four million, four hundred twenty-one thousand, one hundred forty-three".

Divisors: 1 3 9 13 19 37 39 57 111 117 171 247 333 481 703 741 1187 1443 2109 2223 3561 4329 6327 9139 10683 15431 22553 27417 43919 46293 67659 82251 131757 138879 202977 293189 395271 570947 834461 879567 1712841 2298839 2503383 2638701 5138523 6896517 7510149 10847993 20689551 29884907 32543979 43677941 85057043 89654721 97631937 131033823 255171129 268964163 393101469 567813233 765513387 1105741559 1616083817 1703439699 2728721893 3317224677 4848251451 5110319097 8186165679 9951674031 14544754353 21009089621 24558497037 35473384609 51845715967 63027268863 100962710041 106420153827 155537147901 189081806589 302888130123 319260461481 466611443703 673994307571 908664390369 1312515230533 1918291490779 2021982922713 3937545691599 5754874472337 6065948768139 11812637074797 17264623417011 24937789380127 74813368140381 224440104421143