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2040200100432 = 2432131377955113
BaseRepresentation
bin11101101100000101011…
…001101111101001010000
321020001010001102112122200
4131230011121233221100
5231411312211203212
64201131024403200
7300254026502034
oct35540531575120
97201101375580
102040200100432
1171727585028a
1228b4a2a76500
1311a50bc07850
1470a638681c4
153810c33d6dc
hex1db0566fa50

2040200100432 has 120 divisors (see below), whose sum is σ = 6193819939944. Its totient is φ = 623171653632.

The previous prime is 2040200100391. The next prime is 2040200100443. The reversal of 2040200100432 is 2340010020402.

2040200100432 is a `hidden beast` number, since 20 + 4 + 0 + 200 + 10 + 0 + 432 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 239085793296 + 1801114307136 = 488964^2 + 1342056^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3721093 + ... + 4234020.

Almost surely, 22040200100432 is an apocalyptic number.

It is an amenable number.

2040200100432 is an abundant number, since it is smaller than the sum of its proper divisors (4153619839512).

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

2040200100432 is a wasteful number, since it uses less digits than its factorization.

2040200100432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7955277 (or 7955268 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2040200100432 its reverse (2340010020402), we get a palindrome (4380210120834).

The spelling of 2040200100432 in words is "two trillion, forty billion, two hundred million, one hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 137 144 156 208 234 274 312 411 468 548 624 822 936 1096 1233 1644 1781 1872 2192 2466 3288 3562 4932 5343 6576 7124 9864 10686 14248 16029 19728 21372 28496 32058 42744 64116 85488 128232 256464 7955113 15910226 23865339 31820452 47730678 63640904 71596017 95461356 103416469 127281808 143192034 190922712 206832938 286384068 310249407 381845424 413665876 572768136 620498814 827331752 930748221 1089850481 1145536272 1240997628 1654663504 1861496442 2179700962 2481995256 3269551443 3722992884 4359401924 4963990512 6539102886 7445985768 8718803848 9808654329 13078205772 14168056253 14891971536 17437607696 19617308658 26156411544 28336112506 39234617316 42504168759 52312823088 56672225012 78469234632 85008337518 113344450024 127512506277 156938469264 170016675036 226688900048 255025012554 340033350072 510050025108 680066700144 1020100050216 2040200100432