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142020024336 = 24321998575783
BaseRepresentation
bin1000010001000100001…
…1011001100000010000
3111120120121201202012100
42010101003121200100
54311324111234321
6145124302000400
713155250201041
oct2042103314020
9446517652170
10142020024336
1155259668343
1223636276100
131051422a878
146c33a1a8c8
153a6323c326
hex21110d9810

142020024336 has 120 divisors (see below), whose sum is σ = 399991363200. Its totient is φ = 47039021568.

The previous prime is 142020024331. The next prime is 142020024371. The reversal of 142020024336 is 633420020241.

142020024336 is a `hidden beast` number, since 1 + 4 + 20 + 200 + 2 + 433 + 6 = 666.

It is a super-3 number, since 3×1420200243363 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (142020024331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24555301 + ... + 24561083.

It is an arithmetic number, because the mean of its divisors is an integer number (3333261360).

Almost surely, 2142020024336 is an apocalyptic number.

142020024336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142020024336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199995681600).

142020024336 is an abundant number, since it is smaller than the sum of its proper divisors (257971338864).

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

142020024336 is a wasteful number, since it uses less digits than its factorization.

142020024336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6853 (or 6844 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 142020024336 its reverse (633420020241), we get a palindrome (775440044577).

The spelling of 142020024336 in words is "one hundred forty-two billion, twenty million, twenty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 199 398 597 796 857 1194 1592 1714 1791 2388 2571 3184 3428 3582 4776 5142 5783 6856 7164 7713 9552 10284 11566 13712 14328 15426 17349 20568 23132 28656 30852 34698 41136 46264 52047 61704 69396 92528 104094 123408 138792 170543 208188 277584 341086 416376 511629 682172 832752 1023258 1150817 1364344 1534887 2046516 2301634 2728688 3069774 3452451 4093032 4603268 4956031 6139548 6904902 8186064 9206536 9912062 10357353 12279096 13809804 14868093 18413072 19824124 20714706 24558192 27619608 29736186 39648248 41429412 44604279 55239216 59472372 79296496 82858824 89208558 118944744 165717648 178417116 237889488 356834232 713668464 986250169 1972500338 2958750507 3945000676 5917501014 7890001352 8876251521 11835002028 15780002704 17752503042 23670004056 35505006084 47340008112 71010012168 142020024336