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40386127369 = 7219215112
BaseRepresentation
bin100101100111001100…
…110110011000001001
310212020120121211200011
4211213030312120021
51130202322033434
630315250511521
72626543263400
oct454714663011
9125216554604
1040386127369
1116144a09275
1279b12955a1
133a680776b3
141d519a0637
1510b5859e64
hex967336609

40386127369 has 27 divisors (see below), whose sum is σ = 49615374861. Its totient is φ = 32773046040.

The previous prime is 40386127351. The next prime is 40386127399. The reversal of 40386127369 is 96372168304.

The square root of 40386127369 is 200963.

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

It is not a de Polignac number, because 40386127369 - 223 = 40377738761 is a prime.

It is a super-2 number, since 2×403861273692 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (40386127319) by changing a digit.

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 in 26 ways as a sum of consecutive naturals, for example, 26727324 + ... + 26728834.

Almost surely, 240386127369 is an apocalyptic number.

40386127369 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

40386127369 is the 200963-rd square number.

40386127369 is the 100482-nd centered octagonal number.

It is an amenable number.

40386127369 is a deficient number, since it is larger than the sum of its proper divisors (9229247492).

40386127369 is an frugal number, since it uses more digits than its factorization.

40386127369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

Multiplying 40386127369 by its sum of digits (49), we get a square (1978920241081 = 14067412).

40386127369 divided by its sum of digits (49) gives a square (824206681 = 287092).

The spelling of 40386127369 in words is "forty billion, three hundred eighty-six million, one hundred twenty-seven thousand, three hundred sixty-nine".

Divisors: 1 7 19 49 133 361 931 1511 2527 10577 17689 28709 74039 200963 545471 1406741 2283121 3818297 15981847 26728079 43379299 111872929 303655093 824206681 2125585651 5769446767 40386127369