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2040401330430 = 235531303984859
BaseRepresentation
bin11101101100010001011…
…001011000000011111110
321020001122002002002022120
4131230101121120003332
5231412220220033210
64201203013423410
7300262022101311
oct35542131300376
97201562062276
102040401330430
117173693a3371
1228b53a33ab66
1311a541802958
1470a8248a978
153811ed3c270
hex1db116580fe

2040401330430 has 64 divisors (see below), whose sum is σ = 4993192926720. Its totient is φ = 533430608256.

The previous prime is 2040401330353. The next prime is 2040401330431. The reversal of 2040401330430 is 340331040402.

It is a self number, because there is not a number n which added to its sum of digits gives 2040401330430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040401330431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1579341 + ... + 2564199.

It is an arithmetic number, because the mean of its divisors is an integer number (78018639480).

Almost surely, 22040401330430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040401330430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496596463360).

2040401330430 is an abundant number, since it is smaller than the sum of its proper divisors (2952791596290).

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

2040401330430 is a wasteful number, since it uses less digits than its factorization.

2040401330430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986225.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 2040401330430 its reverse (340331040402), we get a palindrome (2380732370832).

The spelling of 2040401330430 in words is "two trillion, forty billion, four hundred one million, three hundred thirty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 265 318 530 795 1303 1590 2606 3909 6515 7818 13030 19545 39090 69059 138118 207177 345295 414354 690590 984859 1035885 1969718 2071770 2954577 4924295 5909154 9848590 14772885 29545770 52197527 104395054 156592581 260987635 313185162 521975270 782962905 1283271277 1565925810 2566542554 3849813831 6416356385 7699627662 12832712770 19249069155 38498138310 68013377681 136026755362 204040133043 340066888405 408080266086 680133776810 1020200665215 2040401330430