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200400433421104 = 24721289198303179
BaseRepresentation
bin101101100100001101011100…
…101001011001101100110000
3222021120002112202202111112201
4231210031130221121230300
5202231330041423433404
61550114404351232544
760132311362245100
oct5544153451315460
9867502482674481
10200400433421104
115894338a268404
121a586b43818754
1387a88ab6409c7
14376b60b5ab200
151827d1da4dca4
hexb6435ca59b30

200400433421104 has 60 divisors (see below), whose sum is σ = 452018217587400. Its totient is φ = 85819269736704.

The previous prime is 200400433421101. The next prime is 200400433421113. The reversal of 200400433421104 is 401124334004002.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (200400433421101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98141014 + ... + 100162165.

It is an arithmetic number, because the mean of its divisors is an integer number (7533636959790).

Almost surely, 2200400433421104 is an apocalyptic number.

It is an amenable number.

200400433421104 is an abundant number, since it is smaller than the sum of its proper divisors (251617784166296).

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

200400433421104 is a wasteful number, since it uses less digits than its factorization.

200400433421104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198304490 (or 198304477 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 200400433421104 its reverse (401124334004002), we get a palindrome (601524767425106).

The spelling of 200400433421104 in words is "two hundred trillion, four hundred billion, four hundred thirty-three million, four hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 1289 2578 5156 9023 10312 18046 20624 36092 63161 72184 126322 144368 252644 505288 1010576 198303179 396606358 793212716 1388122253 1586425432 2776244506 3172850864 5552489012 9716855771 11104978024 19433711542 22209956048 38867423084 77734846168 155469692336 255612797731 511225595462 1022451190924 1789289584117 2044902381848 3578579168234 4089804763696 7157158336468 12525027088819 14314316672936 25050054177638 28628633345872 50100108355276 100200216710552 200400433421104