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143241014466 = 234113110125673
BaseRepresentation
bin1000010101100111010…
…1000110110011000010
3111200201201020110210000
42011121311012303002
54321324144430331
6145445400020430
713230434351034
oct2053165066302
9450651213700
10143241014466
11558259002a0
1223917161716
131067a191034
146d0bc51c54
153ad55220e6
hex2159d46cc2

143241014466 has 160 divisors (see below), whose sum is σ = 365032521216. Its totient is φ = 41588640000.

The previous prime is 143241014443. The next prime is 143241014513. The reversal of 143241014466 is 664410142341.

143241014466 is a `hidden beast` number, since 1 + 43 + 2 + 410 + 144 + 66 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 143241014466.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 5566606 + ... + 5592278.

Almost surely, 2143241014466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 143241014466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182516260608).

143241014466 is an abundant number, since it is smaller than the sum of its proper divisors (221791506750).

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

143241014466 is a wasteful number, since it uses less digits than its factorization.

143241014466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25830 (or 25821 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 143241014466 in words is "one hundred forty-three billion, two hundred forty-one million, fourteen thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 81 93 99 101 162 186 198 202 279 297 303 341 558 594 606 682 837 891 909 1023 1111 1674 1782 1818 2046 2222 2511 2727 3069 3131 3333 5022 5454 6138 6262 6666 8181 9207 9393 9999 16362 18414 18786 19998 25673 27621 28179 29997 34441 51346 55242 56358 59994 68882 77019 84537 89991 103323 154038 169074 179982 206646 231057 253611 282403 309969 462114 507222 564806 619938 693171 795863 847209 929907 1386342 1591726 1694418 1859814 2079513 2387589 2541627 2592973 2789721 4159026 4775178 5083254 5185946 5579442 7162767 7624881 7778919 8754493 14325534 15249762 15557838 17508986 21488301 22874643 23336757 26263479 28522703 42976602 45749286 46673514 52526958 57045406 64464903 70010271 78790437 80382163 85568109 128929806 140020542 157580874 160764326 171136218 210030813 236371311 241146489 256704327 420061626 472742622 482292978 513408654 709113933 723439467 770112981 884203793 1418227866 1446878934 1540225962 1768407586 2170318401 2310338943 2652611379 4340636802 4620677886 5305222758 6510955203 7957834137 13021910406 15915668274 23873502411 47747004822 71620507233 143241014466