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200440404402440 = 23539742129981453
BaseRepresentation
bin101101100100110010101011…
…000110100110000100001000
3222021200220201102012201220212
4231210302223012212010020
5202233003422011334230
61550145014532140252
760135225035055266
oct5544625306460410
9867626642181825
10200440404402440
11589593308a6284
121a592839a67688
1387ac5ab6a2b57
14376d51dd83436
151828dacc02895
hexb64cab1a6108

200440404402440 has 64 divisors (see below), whose sum is σ = 453200857922160. Its totient is φ = 79784241546240.

The previous prime is 200440404402419. The next prime is 200440404402503. The reversal of 200440404402440 is 44204404044002.

It can be written as a sum of positive squares in 8 ways, for example, as 59612389460836 + 140828014941604 = 7720906^2 + 11867098^2 .

It is a junction number, because it is equal to n+sod(n) for n = 200440404402397 and 200440404402406.

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, 8305247 + ... + 21676206.

Almost surely, 2200440404402440 is an apocalyptic number.

200440404402440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200440404402440 is an abundant number, since it is smaller than the sum of its proper divisors (252760453519720).

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

200440404402440 is a wasteful number, since it uses less digits than its factorization.

200440404402440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29982282 (or 29982278 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 200440404402440 its reverse (44204404044002), we get a palindrome (244644808446442).

The spelling of 200440404402440 in words is "two hundred trillion, four hundred forty billion, four hundred four million, four hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 397 421 794 842 1588 1684 1985 2105 3176 3368 3970 4210 7940 8420 15880 16840 167137 334274 668548 835685 1337096 1671370 3342740 6685480 29981453 59962906 119925812 149907265 239851624 299814530 599629060 1199258120 11902636841 12622191713 23805273682 25244383426 47610547364 50488766852 59513184205 63110958565 95221094728 100977533704 119026368410 126221917130 238052736820 252443834260 476105473640 504887668520 5011010110061 10022020220122 20044040440244 25055050550305 40088080880488 50110101100610 100220202201220 200440404402440