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200642041400 = 235268311291301
BaseRepresentation
bin1011101011011100110…
…0101001011000111000
3201011220002101202201112
42322313030221120320
511241403330311100
6232101303135452
720332045132553
oct2726714513070
9634802352645
10200642041400
1178101224429
1232a76744588
1315bc7347828
1499d548d69a
1553449e8b35
hex2eb7329638

200642041400 has 96 divisors (see below), whose sum is σ = 467948955600. Its totient is φ = 80006784000.

The previous prime is 200642041393. The next prime is 200642041409. The reversal of 200642041400 is 4140246002.

200642041400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200642041409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154220750 + ... + 154222050.

Almost surely, 2200642041400 is an apocalyptic number.

200642041400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200642041400 is an abundant number, since it is smaller than the sum of its proper divisors (267306914200).

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

200642041400 is a wasteful number, since it uses less digits than its factorization.

200642041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3129 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 200642041400 its reverse (4140246002), we get a palindrome (204782287402).

The spelling of 200642041400 in words is "two hundred billion, six hundred forty-two million, forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 683 1129 1301 1366 2258 2602 2732 3415 4516 5204 5464 5645 6505 6830 9032 10408 11290 13010 13660 17075 22580 26020 27320 28225 32525 34150 45160 52040 56450 65050 68300 112900 130100 136600 225800 260200 771107 888583 1468829 1542214 1777166 2937658 3084428 3554332 3855535 4442915 5875316 6168856 7108664 7344145 7711070 8885830 11750632 14688290 15422140 17771660 19277675 22214575 29376580 30844280 35543320 36720725 38555350 44429150 58753160 73441450 77110700 88858300 146882900 154221400 177716600 293765800 1003210207 2006420414 4012840828 5016051035 8025681656 10032102070 20064204140 25080255175 40128408280 50160510350 100321020700 200642041400