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40384416769 = 4360111171399
BaseRepresentation
bin100101100111000110…
…010100110000000001
310212020110101221011121
4211213012110300001
51130201402314034
630315150112241
72626522610254
oct454706246001
9125213357147
1040384416769
1116143a50054
1279b07ab681
133a678c8bc8
141d5167709b
1510b561d1b4
hex967194c01

40384416769 has 16 divisors (see below), whose sum is σ = 41459017600. Its totient is φ = 39316233600.

The previous prime is 40384416739. The next prime is 40384416773. The reversal of 40384416769 is 96761448304.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40384416769 is a prime.

It is a super-2 number, since 2×403844167692 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40384416739) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28865932 + ... + 28867330.

It is an arithmetic number, because the mean of its divisors is an integer number (2591188600).

Almost surely, 240384416769 is an apocalyptic number.

It is an amenable number.

40384416769 is a deficient number, since it is larger than the sum of its proper divisors (1074600831).

40384416769 is a wasteful number, since it uses less digits than its factorization.

40384416769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3160.

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 40384416769 in words is "forty billion, three hundred eighty-four million, four hundred sixteen thousand, seven hundred sixty-nine".

Divisors: 1 43 601 1117 1399 25843 48031 60157 671317 840799 1562683 28866631 36154357 67195369 939172483 40384416769