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17142353745342 = 23717831132559857
BaseRepresentation
bin1111100101110100001111…
…1001111101010110111110
32020200210102002212202120020
43321131003321331112332
54221330020024322332
6100243031045233010
73416331335442240
oct371350371752676
966623362782506
1017142353745342
11550a038875191
121b0a377702766
13974694b88057
144339a1412090
151eada2cee82c
hexf9743e7d5be

17142353745342 has 128 divisors (see below), whose sum is σ = 42358809959424. Its totient is φ = 4513865760768.

The previous prime is 17142353745317. The next prime is 17142353745409. The reversal of 17142353745342 is 24354735324171.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5416678 + ... + 7976534.

It is an arithmetic number, because the mean of its divisors is an integer number (330928202808).

Almost surely, 217142353745342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17142353745342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21179404979712).

17142353745342 is an abundant number, since it is smaller than the sum of its proper divisors (25216456214082).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

17142353745342 is a wasteful number, since it uses less digits than its factorization.

17142353745342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560082.

The product of its digits is 8467200, while the sum is 51.

The spelling of 17142353745342 in words is "seventeen trillion, one hundred forty-two billion, three hundred fifty-three million, seven hundred forty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 83 102 113 119 166 226 238 249 339 357 498 581 678 714 791 1162 1411 1582 1743 1921 2373 2822 3486 3842 4233 4746 5763 8466 9379 9877 11526 13447 18758 19754 26894 28137 29631 40341 56274 59262 65653 80682 131306 159443 196959 318886 393918 478329 956658 1116101 2232202 2559857 3348303 5119714 6696606 7679571 15359142 17918999 35837998 43517569 53756997 87035138 107513994 130552707 212468131 261105414 289263841 304622983 424936262 578527682 609245966 637404393 867791523 913868949 1274808786 1487276917 1735583046 1827737898 2024846887 2974553834 3611958227 4049693774 4461830751 4917485297 6074540661 7223916454 8923661502 9834970594 10835874681 12149081322 14752455891 21671749362 24008898803 25283707589 29504911782 34422397079 48017797606 50567415178 68844794158 72026696409 75851122767 103267191237 144053392818 151702245534 168062291621 206534382474 336124583242 408151279651 504186874863 816302559302 1008373749726 1224453838953 2448907677906 2857058957557 5714117915114 8571176872671 17142353745342