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245041304440023 = 34713531949321829
BaseRepresentation
bin110111101101110100011111…
…111010000000110011010111
31012010121201102211021011010000
4313231310133322000303113
5224104224042414040043
62225054230551502343
7102420435646156440
oct6755643772006327
91163551384234100
10245041304440023
1171094485163023
12235967910879b3
13a6963b0001050
1444720c33ac2c7
151d4e1477802d3
hexdedd1fe80cd7

245041304440023 has 160 divisors (see below), whose sum is σ = 459259648848000. Its totient is φ = 126748368774144.

The previous prime is 245041304440001. The next prime is 245041304440039. The reversal of 245041304440023 is 320044403140542.

245041304440023 is a `hidden beast` number, since 24 + 504 + 1 + 30 + 44 + 40 + 0 + 23 = 666.

It is not a de Polignac number, because 245041304440023 - 216 = 245041304374487 is a prime.

It is a super-2 number, since 2×2450413044400232 (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 245041304440023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245041304440063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 761241273 + ... + 761563101.

It is an arithmetic number, because the mean of its divisors is an integer number (2870372805300).

Almost surely, 2245041304440023 is an apocalyptic number.

245041304440023 is a deficient number, since it is larger than the sum of its proper divisors (214218344407977).

245041304440023 is a wasteful number, since it uses less digits than its factorization.

245041304440023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323863 (or 323854 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 245041304440023 its reverse (320044403140542), we get a palindrome (565085707580565).

The spelling of 245041304440023 in words is "two hundred forty-five trillion, forty-one billion, three hundred four million, four hundred forty thousand, twenty-three".

Divisors: 1 3 7 9 13 21 27 39 53 63 81 91 117 159 189 273 351 371 477 567 689 819 1053 1113 1431 1949 2067 2457 3339 4293 4823 5847 6201 7371 10017 13643 14469 17541 18603 25337 30051 40929 43407 52623 55809 76011 103297 122787 130221 157869 177359 228033 309891 321829 368361 390663 532077 684099 723079 929673 965487 1105083 1342861 1596231 2052297 2169237 2252803 2789019 2896461 4028583 4183777 4788693 6507711 6758409 8367057 8689383 9400027 12085749 12551331 14366079 17056937 19523133 20275227 26068149 28200081 29286439 36257247 37653993 51170811 58569399 60825681 84600243 87859317 108771741 112961979 119398559 153512433 182477043 221740181 253800729 263577951 338885937 358195677 460537299 627244721 665220543 761402187 790733853 1074587031 1381611897 1552181267 1881734163 1995661629 2372201559 3223761093 4390713047 4656543801 5645202489 5986984887 8154181373 9671283279 13172139141 13969631403 16935607467 17960954661 24462544119 33243970213 39516417423 41908894209 50806822401 57079269611 73387632357 99731910639 118549252269 125726682627 171237808833 220162897071 232707791491 299195731917 355647756807 432171612769 513713426499 660488691213 698123374473 897587195751 1296514838307 1541140279497 2094370123419 2692761587253 3025201289383 3889544514921 4623420838491 6283110370257 9075603868149 11668633544763 18849331110771 27226811604447 35005900634289 81680434813341 245041304440023