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40414909117 = 11371078831051
BaseRepresentation
bin100101101000111010…
…101001001010111101
310212022120210002210211
4211220322221022331
51130232204042432
630322155432421
72630343026242
oct455072511275
9125276702724
1040414909117
111615a187440
1279baa55711
133a7101400b
141d557335c9
1510b8142d47
hex968ea92bd

40414909117 has 32 divisors (see below), whose sum is σ = 45799064064. Its totient is φ = 35339976000.

The previous prime is 40414909111. The next prime is 40414909151. The reversal of 40414909117 is 71190941404.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 40414909117 - 211 = 40414907069 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 40414909117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40414909111) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 38453242 + ... + 38454292.

It is an arithmetic number, because the mean of its divisors is an integer number (1431220752).

Almost surely, 240414909117 is an apocalyptic number.

It is an amenable number.

40414909117 is a deficient number, since it is larger than the sum of its proper divisors (5384154947).

40414909117 is a wasteful number, since it uses less digits than its factorization.

40414909117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089.

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 40414909117 in words is "forty billion, four hundred fourteen million, nine hundred nine thousand, one hundred seventeen".

Divisors: 1 11 37 107 407 883 1051 1177 3959 9713 11561 32671 38887 43549 94481 112457 359381 427757 928033 1039291 1237027 3495797 4160909 10208363 34337221 38453767 45769999 99299531 377709431 1092294841 3674082647 40414909117