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40141300 = 22521937571
BaseRepresentation
bin1001100100100…
…0000111110100
32210112101111211
42121020013310
540234010200
63552211204
7665124013
oct231100764
983471454
1040141300
1120727831
1211539b04
138415c64
14548ca7a
1537cdaba
hex26481f4

40141300 has 72 divisors (see below), whose sum is σ = 94334240. Its totient is φ = 14774400.

The previous prime is 40141261. The next prime is 40141331. The reversal of 40141300 is 314104.

It is a super-2 number, since 2×401413002 = 3222647931380000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70015 + ... + 70585.

Almost surely, 240141300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40141300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47167120).

40141300 is an abundant number, since it is smaller than the sum of its proper divisors (54192940).

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

40141300 is a wasteful number, since it uses less digits than its factorization.

40141300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 40141300 is about 6335.7162183924. The cubic root of 40141300 is about 342.3974154207.

Adding to 40141300 its reverse (314104), we get a palindrome (40455404).

The spelling of 40141300 in words is "forty million, one hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 37 38 50 74 76 95 100 148 185 190 370 380 475 571 703 740 925 950 1142 1406 1850 1900 2284 2812 2855 3515 3700 5710 7030 10849 11420 14060 14275 17575 21127 21698 28550 35150 42254 43396 54245 57100 70300 84508 105635 108490 211270 216980 271225 401413 422540 528175 542450 802826 1056350 1084900 1605652 2007065 2112700 4014130 8028260 10035325 20070650 40141300