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40636109056 = 284322932
BaseRepresentation
bin100101110110000110…
…011101000100000000
310212220000000020002011
4211312012131010000
51131210320442211
630400140502304
72636000141104
oct456606350400
9125800006064
1040636109056
111626302a204
127a60b4a994
133aa7ab195a
141d76c73904
1510cc788921
hex97619d100

40636109056 has 81 divisors (see below), whose sum is σ = 83328105189. Its totient is φ = 19777809408.

The previous prime is 40636109011. The next prime is 40636109057. The reversal of 40636109056 is 65090163604.

The square root of 40636109056 is 201584.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 38447366400 + 2188742656 = 196080^2 + 46784^2 .

It is a super-2 number, since 2×406361090562 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40636109057) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 138689646 + ... + 138689938.

Almost surely, 240636109056 is an apocalyptic number.

40636109056 is the 201584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40636109056

40636109056 is an abundant number, since it is smaller than the sum of its proper divisors (42691996133).

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

40636109056 is an frugal number, since it uses more digits than its factorization.

40636109056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The spelling of 40636109056 in words is "forty billion, six hundred thirty-six million, one hundred nine thousand, fifty-six".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 293 344 586 688 1172 1376 1849 2344 2752 3698 4688 5504 7396 9376 11008 12599 14792 18752 25198 29584 37504 50396 59168 75008 85849 100792 118336 171698 201584 236672 343396 403168 473344 541757 686792 806336 1083514 1373584 1612672 2167028 2747168 3225344 3691507 4334056 5494336 7383014 8668112 10988672 14766028 17336224 21977344 29532056 34672448 59064112 69344896 118128224 138689792 158734801 236256448 317469602 472512896 634939204 945025792 1269878408 2539756816 5079513632 10159027264 20318054528 40636109056