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14142166441557 = 3711174779969907
BaseRepresentation
bin1100110111001011101011…
…0011101001111001010101
31212001222101220011110121220
43031302322303221321111
53323201124102112212
650024453243200553
72656511032230030
oct315627263517125
955058356143556
1014142166441557
1145627282a83a0
121704a1ab16159
137b77a65c7a0b
1436c6ad6c0017
15197d0be0d38c
hexcdcbace9e55

14142166441557 has 128 divisors (see below), whose sum is σ = 25743375728640. Its totient is φ = 6681643637760.

The previous prime is 14142166441549. The next prime is 14142166441567. The reversal of 14142166441557 is 75514466124141.

It is not a de Polignac number, because 14142166441557 - 23 = 14142166441549 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14142166441537) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14095998 + ... + 15065904.

It is an arithmetic number, because the mean of its divisors is an integer number (201120122880).

Almost surely, 214142166441557 is an apocalyptic number.

14142166441557 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

14142166441557 is a deficient number, since it is larger than the sum of its proper divisors (11601209287083).

14142166441557 is a wasteful number, since it uses less digits than its factorization.

14142166441557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970071.

The product of its digits is 3225600, while the sum is 51.

The spelling of 14142166441557 in words is "fourteen trillion, one hundred forty-two billion, one hundred sixty-six million, four hundred forty-one thousand, five hundred fifty-seven".

Divisors: 1 3 7 11 17 21 33 47 51 77 79 119 141 187 231 237 329 357 517 553 561 799 869 987 1309 1343 1551 1659 2397 2607 3619 3713 3927 4029 5593 6083 8789 9401 10857 11139 14773 16779 18249 25991 26367 28203 40843 44319 61523 63121 77973 103411 122529 184569 189363 285901 310233 441847 694331 857703 969907 1325541 2082993 2909721 4860317 6789349 10668977 14580951 16488419 20368047 32006931 45585629 49465257 74682839 76622653 115418933 136756887 181372609 224048517 229867959 319099403 346256799 501441919 536358571 544117827 774955693 842849183 957298209 1269608263 1302585101 1504325757 1609075713 2324867079 2528547549 3510093433 3601264691 3808824789 3907755303 5424689851 5899944281 8524512623 9118095707 10530280299 10803794073 14328436111 16274069553 17699832843 25208852837 25573537869 27354287121 39613911601 42985308333 59671588361 61221499747 75626558511 100299052777 118841734803 179014765083 183664499241 277297381207 300897158331 428550498229 673436497217 831892143621 1285651494687 2020309491651 4714055480519 14142166441557