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142433310032 = 24135393713789
BaseRepresentation
bin1000010010100110101…
…1111101010101010000
3111121122102101211120222
42010221223331111100
54313200411410112
6145233304052212
713201426105436
oct2045153752520
9447572354528
10142433310032
1155450987a72
1223730764068
131057ba41410
146c7287cd56
153a89677372
hex2129afd550

142433310032 has 80 divisors (see below), whose sum is σ = 303145128720. Its totient is φ = 64424595456.

The previous prime is 142433310013. The next prime is 142433310043. The reversal of 142433310032 is 230013334241.

It can be written as a sum of positive squares in 8 ways, for example, as 361608256 + 142071701776 = 19016^2 + 376924^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 142433309983 and 142433310010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10322594 + ... + 10336382.

It is an arithmetic number, because the mean of its divisors is an integer number (3789314109).

Almost surely, 2142433310032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142433310032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151572564360).

142433310032 is an abundant number, since it is smaller than the sum of its proper divisors (160711818688).

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

142433310032 is a wasteful number, since it uses less digits than its factorization.

142433310032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14800 (or 14794 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 142433310032 its reverse (230013334241), we get a palindrome (372446644273).

The spelling of 142433310032 in words is "one hundred forty-two billion, four hundred thirty-three million, three hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 208 212 424 689 848 937 1378 1874 2756 3748 5512 7496 11024 12181 13789 14992 24362 27578 48724 49661 55156 97448 99322 110312 179257 194896 198644 220624 358514 397288 645593 717028 730817 794576 1291186 1434056 1461634 2582372 2868112 2923268 5164744 5846536 9500621 10329488 11693072 12920293 19001242 25840586 38002484 51681172 76004968 103362344 152009936 167963809 206724688 335927618 671855236 684775529 1343710472 1369551058 2687420944 2739102116 5478204232 8902081877 10956408464 17804163754 35608327508 71216655016 142433310032