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142416365536 = 2559167451691
BaseRepresentation
bin1000010010100010101…
…1010100011111100000
3111121121020111222010001
42010220223110133200
54313132042144121
6145231500545344
713201132063534
oct2045053243740
9447536458101
10142416365536
1155442364355
1223726b52254
131057838a9a3
146c7050bbc4
153a87e2b991
hex2128ad47e0

142416365536 has 48 divisors (see below), whose sum is σ = 286842487680. Its totient is φ = 69581941120.

The previous prime is 142416365527. The next prime is 142416365551. The reversal of 142416365536 is 635563614241.

It is a super-3 number, since 3×1424163655363 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89451 + ... + 541141.

It is an arithmetic number, because the mean of its divisors is an integer number (5975885160).

Almost surely, 2142416365536 is an apocalyptic number.

142416365536 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 142416365536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143421243840).

142416365536 is an abundant number, since it is smaller than the sum of its proper divisors (144426122144).

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

142416365536 is a wasteful number, since it uses less digits than its factorization.

142416365536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451927 (or 451919 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 46.

Adding to 142416365536 its reverse (635563614241), we get a palindrome (777979979777).

The spelling of 142416365536 in words is "one hundred forty-two billion, four hundred sixteen million, three hundred sixty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 59 118 167 236 334 472 668 944 1336 1888 2672 5344 9853 19706 39412 78824 157648 315296 451691 903382 1806764 3613528 7227056 14454112 26649769 53299538 75432397 106599076 150864794 213198152 301729588 426396304 603459176 852792608 1206918352 2413836704 4450511423 8901022846 17802045692 35604091384 71208182768 142416365536