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142643164146 = 237231396131733
BaseRepresentation
bin1000010011011000110…
…0011111001111110010
3111122012001021112022120
42010312030133033302
54314113122223041
6145310202015110
713206554614140
oct2046614371762
9448161245276
10142643164146
115554939051a
122378aaa7496
13105b3368a52
146c926a8590
153a9cccb366
hex213631f3f2

142643164146 has 128 divisors (see below), whose sum is σ = 343421890560. Its totient is φ = 38617337088.

The previous prime is 142643164127. The next prime is 142643164151. The reversal of 142643164146 is 641461346241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 142643164098 and 142643164107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82309096 + ... + 82310828.

It is an arithmetic number, because the mean of its divisors is an integer number (2682983520).

Almost surely, 2142643164146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142643164146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171710945280).

142643164146 is an abundant number, since it is smaller than the sum of its proper divisors (200778726414).

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

142643164146 is a wasteful number, since it uses less digits than its factorization.

142643164146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520.

The product of its digits is 331776, while the sum is 42.

The spelling of 142643164146 in words is "one hundred forty-two billion, six hundred forty-three million, one hundred sixty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 139 161 278 322 417 483 613 834 966 973 1226 1733 1839 1946 2919 3197 3466 3678 4291 5199 5838 6394 8582 9591 10398 12131 12873 14099 19182 22379 24262 25746 28198 36393 39859 42297 44758 67137 72786 79718 84594 85207 98693 119577 134274 170414 197386 239154 240887 255621 279013 296079 481774 511242 558026 592158 596449 722661 837039 1062329 1192898 1445322 1674078 1686209 1789347 1959761 2124658 3186987 3372418 3578694 3919522 5058627 5540401 5879283 6373974 7436303 10117254 11080802 11758566 13718327 14872606 16621203 22308909 24433567 27436654 33242406 38782807 41154981 44617818 48867134 73300701 77565614 82309962 116348421 146601402 147663731 171034969 232696842 295327462 342069938 442991193 513104907 885982386 1026209814 1033646117 2067292234 3100938351 3396265813 6201876702 6792531626 10188797439 20377594878 23773860691 47547721382 71321582073 142643164146