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40365640040 = 23511367249973
BaseRepresentation
bin100101100101111110…
…101100100101101000
310212012011001222100012
4211211332230211220
51130132100440130
630313235431052
72626204164515
oct454576544550
9125164058305
1040365640040
11161343958a0
1279a6455488
133a63a5350b
141d4cd8a30c
1510b3b5e995
hex965fac968

40365640040 has 64 divisors (see below), whose sum is σ = 99349666560. Its totient is φ = 14638360320.

The previous prime is 40365640039. The next prime is 40365640151. The reversal of 40365640040 is 4004656304.

It is a junction number, because it is equal to n+sod(n) for n = 40365639979 and 40365640006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36494 + ... + 286466.

It is an arithmetic number, because the mean of its divisors is an integer number (1552338540).

Almost surely, 240365640040 is an apocalyptic number.

40365640040 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 40365640040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49674833280).

40365640040 is an abundant number, since it is smaller than the sum of its proper divisors (58984026520).

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

40365640040 is a wasteful number, since it uses less digits than its factorization.

40365640040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250362 (or 250358 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The spelling of 40365640040 in words is "forty billion, three hundred sixty-five million, six hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 367 440 734 1468 1835 2936 3670 4037 7340 8074 14680 16148 20185 32296 40370 80740 161480 249973 499946 999892 1249865 1999784 2499730 2749703 4999460 5499406 9998920 10998812 13748515 21997624 27497030 54994060 91740091 109988120 183480182 366960364 458700455 733920728 917400910 1009141001 1834801820 2018282002 3669603640 4036564004 5045705005 8073128008 10091410010 20182820020 40365640040