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41342200400 = 2452832415167
BaseRepresentation
bin100110100000001011…
…111110101001010000
310221201012122101022102
4212200023332221100
51134132100403100
630554202455532
72662332622334
oct464013765120
9127635571272
1041342200400
111659565a076
1280195045a8
133b8b174797
1420029557c4
15111e760cd5
hex9a02fea50

41342200400 has 120 divisors (see below), whose sum is σ = 100957954944. Its totient is φ = 16266700800.

The previous prime is 41342200387. The next prime is 41342200409. The reversal of 41342200400 is 400224314.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41342200409) 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, 7998617 + ... + 8003783.

Almost surely, 241342200400 is an apocalyptic number.

41342200400 is a gapful number since it is divisible by the number (40) 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 41342200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50478977472).

41342200400 is an abundant number, since it is smaller than the sum of its proper divisors (59615754544).

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

41342200400 is a wasteful number, since it uses less digits than its factorization.

41342200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5509 (or 5498 counting only the distinct ones).

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

Adding to 41342200400 its reverse (400224314), we get a palindrome (41742424714).

The spelling of 41342200400 in words is "forty-one billion, three hundred forty-two million, two hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 83 100 166 200 241 332 400 415 482 664 830 964 1205 1328 1660 1928 2075 2410 3320 3856 4150 4820 5167 6025 6640 8300 9640 10334 12050 16600 19280 20003 20668 24100 25835 33200 40006 41336 48200 51670 80012 82672 96400 100015 103340 129175 160024 200030 206680 258350 320048 400060 413360 428861 500075 516700 800120 857722 1000150 1033400 1245247 1600240 1715444 2000300 2066800 2144305 2490494 3430888 4000600 4288610 4980988 6226235 6861776 8001200 8577220 9961976 10721525 12452470 17154440 19923952 21443050 24904940 31131175 34308880 42886100 49809880 62262350 85772200 99619760 103355501 124524700 171544400 206711002 249049400 413422004 498098800 516777505 826844008 1033555010 1653688016 2067110020 2583887525 4134220040 5167775050 8268440080 10335550100 20671100200 41342200400