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5234412144325 = 5271321757118233
BaseRepresentation
bin100110000101011101101…
…0001101100011011000101
3200112101221011220212110111
41030022323101230123011
51141230034002104300
615044353350153021
71050113420053420
oct114127321543305
920471834825414
105234412144325
1117389a1216061
1270656a052771
132bc7ab8a1100
141414bdc6c9b7
159125bd069ba
hex4c2bb46c6c5

5234412144325 has 144 divisors (see below), whose sum is σ = 8520267989376. Its totient is φ = 3112683724800.

The previous prime is 5234412144301. The next prime is 5234412144347.

5234412144325 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5234412144325 - 213 = 5234412136133 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 287075409 + ... + 287093641.

It is an arithmetic number, because the mean of its divisors is an integer number (59168527704).

Almost surely, 25234412144325 is an apocalyptic number.

It is an amenable number.

5234412144325 is a deficient number, since it is larger than the sum of its proper divisors (3285855845051).

5234412144325 is a wasteful number, since it uses less digits than its factorization.

5234412144325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18864 (or 18846 counting only the distinct ones).

The product of its digits is 460800, while the sum is 40.

The spelling of 5234412144325 in words is "five trillion, two hundred thirty-four billion, four hundred twelve million, one hundred forty-four thousand, three hundred twenty-five".

Divisors: 1 5 7 13 17 25 35 65 85 91 119 169 175 221 325 425 455 571 595 845 1105 1183 1547 2275 2855 2873 2975 3997 4225 5525 5915 7423 7735 9707 14275 14365 18233 19985 20111 29575 37115 38675 48535 51961 67949 71825 91165 96499 99925 100555 126191 127631 185575 237029 242675 259805 309961 339745 455825 482495 502775 630955 638155 675493 883337 1185145 1299025 1549805 1640483 1659203 1698725 2169727 2412475 3081377 3154775 3190775 3377465 4029493 4416685 5925725 7749025 8202415 8296015 10411043 10848635 11483381 15406885 16887325 20147465 21569639 22083425 28206451 41012075 41480075 52055215 52383409 54243175 57416905 72877301 77034425 100737325 107848195 135343559 141032255 176987731 260276075 261917045 287084525 364386505 366683863 539240975 676717795 705161275 884938655 947404913 1238914117 1309585225 1759466267 1821932525 1833419315 2300840503 3383588975 4424693275 4737024565 6194570585 8797331335 9167096575 11504202515 12316263869 16105883521 23685122825 29910926539 30972852925 43986656675 57521012575 61581319345 80529417605 149554632695 209376485773 307906596725 402647088025 747773163475 1046882428865 5234412144325