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142517799333 = 327213197317923
BaseRepresentation
bin1000010010111010111…
…0010000100110100101
3111121212022101100010100
42010232232100212211
54313334024034313
6145245523014313
713203503210100
oct2045656204645
9447768340110
10142517799333
1155494645038
1223754b0a399
13105933b3ca0
146c7db93737
153a91cb6173
hex212eb909a5

142517799333 has 144 divisors (see below), whose sum is σ = 275196492480. Its totient is φ = 70238181888.

The previous prime is 142517799331. The next prime is 142517799373. The reversal of 142517799333 is 333997715241.

142517799333 is a `hidden beast` number, since 1 + 4 + 2 + 517 + 7 + 9 + 93 + 33 = 666.

It is not a de Polignac number, because 142517799333 - 21 = 142517799331 is a prime.

It is a super-2 number, since 2×1425177993332 (a number of 23 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 142517799333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142517799331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7942710 + ... + 7960632.

Almost surely, 2142517799333 is an apocalyptic number.

142517799333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

142517799333 is a deficient number, since it is larger than the sum of its proper divisors (132678693147).

142517799333 is a wasteful number, since it uses less digits than its factorization.

142517799333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18048 (or 18038 counting only the distinct ones).

The product of its digits is 4286520, while the sum is 54.

The spelling of 142517799333 in words is "one hundred forty-two billion, five hundred seventeen million, seven hundred ninety-nine thousand, three hundred thirty-three".

Divisors: 1 3 7 9 13 19 21 39 49 57 63 73 91 117 133 147 171 219 247 273 399 441 511 637 657 741 819 931 949 1197 1387 1533 1729 1911 2223 2793 2847 3577 4161 4599 5187 5733 6643 8379 8541 9709 10731 12103 12483 15561 17923 18031 19929 29127 32193 36309 46501 53769 54093 59787 67963 87381 108927 125461 126217 139503 161307 162279 203889 232999 340537 376383 378651 418509 611667 698997 878227 883519 1021611 1129149 1135953 1308379 1630993 2096991 2383759 2634681 2650557 3064833 3925137 4426981 4892979 7151277 7904043 7951671 9158653 11416951 11775411 13280943 14678937 16686313 17008927 21453831 24859201 27475959 30988867 34250853 39842829 50058939 51026781 64110571 74577603 82427877 92966601 102752559 119062489 150176817 153080343 174014407 192331713 216922069 223732809 278899803 323169613 357187467 522043221 576995139 650766207 833437423 969508839 1071562401 1218100849 1566129663 1952298621 2262187291 2500312269 2908526517 3654302547 6786561873 7500936807 10962907641 15835311037 20359685619 47505933111 142517799333