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40130103314432 = 21119594777009
BaseRepresentation
bin10010001111111100001001…
…00011011000100000000000
312021002101210220021011200202
421013332010203120200000
520224442422422030212
6221203303121504332
711311206241006235
oct1107760443304000
9167071726234622
1040130103314432
111187209914992a
1246015964a20a8
1319513389a35a1
149ca44359978c
15498d21b8c0c2
hex247f848d8800

40130103314432 has 24 divisors (see below), whose sum is σ = 80240611855950. Its totient is φ = 20065051656192.

The previous prime is 40130103314423. The next prime is 40130103314443. The reversal of 40130103314432 is 23441330103104.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 40052899357696 + 77203956736 = 6328736^2 + 277856^2 .

It is a super-3 number, since 3×401301033144323 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 40130103314395 and 40130103314404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9797386457 + ... + 9797390552.

Almost surely, 240130103314432 is an apocalyptic number.

It is an amenable number.

40130103314432 is a deficient number, since it is larger than the sum of its proper divisors (40110508541518).

40130103314432 is an equidigital number, since it uses as much as digits as its factorization.

40130103314432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19594777031 (or 19594777011 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 40130103314432 its reverse (23441330103104), we get a palindrome (63571433417536).

The spelling of 40130103314432 in words is "forty trillion, one hundred thirty billion, one hundred three million, three hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 19594777009 39189554018 78379108036 156758216072 313516432144 627032864288 1254065728576 2508131457152 5016262914304 10032525828608 20065051657216 40130103314432