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203404210040000 = 265438211330831
BaseRepresentation
bin101110001111111010111011…
…101011110110110011000000
3222200012020211010101220011202
4232033322323223312303000
5203130033310232240000
62000334334253000332
760562316641240664
oct5617727353666300
9880166733356152
10203404210040000
11598a1271915822
121a9911224830a8
138965c1c70c938
143832b5dcaa8a4
15187b024ae0dd5
hexb8febbaf6cc0

203404210040000 has 140 divisors (see below), whose sum is σ = 504508714758048. Its totient is φ = 81340329600000.

The previous prime is 203404210039991. The next prime is 203404210040071. The reversal of 203404210040000 is 40012404302.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 152174585 + ... + 153505415.

Almost surely, 2203404210040000 is an apocalyptic number.

203404210040000 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 203404210040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252254357379024).

203404210040000 is an abundant number, since it is smaller than the sum of its proper divisors (301104504718048).

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

203404210040000 is an equidigital number, since it uses as much as digits as its factorization.

203404210040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334684 (or 1334659 counting only the distinct ones).

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

Adding to 203404210040000 its reverse (40012404302), we get a palindrome (203444222444302).

The spelling of 203404210040000 in words is "two hundred three trillion, four hundred four billion, two hundred ten million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3821 4000 5000 7642 8000 10000 15284 19105 20000 30568 38210 40000 61136 76420 95525 122272 152840 191050 244544 305680 382100 477625 611360 764200 955250 1222720 1330831 1528400 1910500 2388125 2661662 3056800 3821000 4776250 5323324 6113600 6654155 7642000 9552500 10646648 13308310 15284000 19105000 21293296 26616620 30568000 33270775 38210000 42586592 53233240 66541550 76420000 85173184 106466480 133083100 152840000 166353875 212932960 266166200 332707750 425865920 532332400 665415500 831769375 1064664800 1330831000 1663538750 2129329600 2661662000 3327077500 5085105251 5323324000 6654155000 10170210502 10646648000 13308310000 20340421004 25425526255 26616620000 40680842008 50851052510 53233240000 81361684016 101702105020 127127631275 162723368032 203404210040 254255262550 325446736064 406808420080 508510525100 635638156375 813616840160 1017021050200 1271276312750 1627233680320 2034042100400 2542552625500 3178190781875 4068084200800 5085105251000 6356381563750 8136168401600 10170210502000 12712763127500 20340421004000 25425526255000 40680842008000 50851052510000 101702105020000 203404210040000