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142401003320 = 23543157527333
BaseRepresentation
bin1000010010011111000…
…0101101111100111000
3111121120011121111010002
42010213300231330320
54313114124101240
6145230151412132
713200554361662
oct2044760557470
9447504544102
10142401003320
1155434721504
1223721984048
131057513c514
146c6c46d532
153a868e4d15
hex2127c2df38

142401003320 has 64 divisors (see below), whose sum is σ = 329942337120. Its totient is φ = 55281268224.

The previous prime is 142401003317. The next prime is 142401003341. The reversal of 142401003320 is 23300104241.

142401003320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 142401003292 and 142401003301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6374 + ... + 533706.

Almost surely, 2142401003320 is an apocalyptic number.

142401003320 is a gapful number since it is divisible by the number (10) 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 142401003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164971168560).

142401003320 is an abundant number, since it is smaller than the sum of its proper divisors (187541333800).

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

142401003320 is a wasteful number, since it uses less digits than its factorization.

142401003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527544 (or 527540 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 142401003320 its reverse (23300104241), we get a palindrome (165701107561).

The spelling of 142401003320 in words is "one hundred forty-two billion, four hundred one million, three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 157 172 215 314 344 430 628 785 860 1256 1570 1720 3140 6280 6751 13502 27004 33755 54008 67510 135020 270040 527333 1054666 2109332 2636665 4218664 5273330 10546660 21093320 22675319 45350638 82791281 90701276 113376595 165582562 181402552 226753190 331165124 413956405 453506380 662330248 827912810 907012760 1655825620 3311651240 3560025083 7120050166 14240100332 17800125415 28480200664 35600250830 71200501660 142401003320