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200203400104040 = 23583586110288727
BaseRepresentation
bin101101100001010101111100…
…100010111100100001101000
3222020212020222011210220222002
4231201111330202330201220
5202220113030411312130
61545444101115350132
760112134613551344
oct5541257442744150
9866766864726862
10200203400104040
1158877870080a93
121a554915752348
13879313ab3c328
143761c794dc624
151822b3ac8bb45
hexb6157c8bc868

200203400104040 has 64 divisors (see below), whose sum is σ = 455962677932160. Its totient is φ = 79103017880320.

The previous prime is 200203400104009. The next prime is 200203400104049. The reversal of 200203400104040 is 40401004302002.

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

It is not an unprimeable number, because it can be changed into a prime (200203400104049) 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 15 ways as a sum of consecutive naturals, for example, 14314157 + ... + 24602883.

It is an arithmetic number, because the mean of its divisors is an integer number (7124416842690).

Almost surely, 2200203400104040 is an apocalyptic number.

200203400104040 is a gapful number since it is divisible by the number (20) 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 200203400104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227981338966080).

200203400104040 is an abundant number, since it is smaller than the sum of its proper divisors (255759277828120).

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

200203400104040 is a wasteful number, since it uses less digits than its factorization.

200203400104040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10294682 (or 10294678 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 200203400104040 its reverse (40401004302002), we get a palindrome (240604404406042).

The spelling of 200203400104040 in words is "two hundred trillion, two hundred three billion, four hundred million, one hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 83 166 332 415 664 830 1660 3320 5861 11722 23444 29305 46888 58610 117220 234440 486463 972926 1945852 2432315 3891704 4864630 9729260 10288727 19458520 20577454 41154908 51443635 82309816 102887270 205774540 411549080 853964341 1707928682 3415857364 4269821705 6831714728 8539643410 17079286820 34158573640 60302228947 120604457894 241208915788 301511144735 482417831576 603022289470 1206044578940 2412089157880 5005085002601 10010170005202 20020340010404 25025425013005 40040680020808 50050850026010 100101700052020 200203400104040