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40413629067714 = 234759357600403
BaseRepresentation
bin10010011000001100010000…
…00000010011000111000010
312022002111122021222202110000
421030012020000103013002
520244114103020131324
6221541433114420430
711340534255105030
oct1114061000230702
9168074567882400
1040413629067714
11119713620337a1
124648522731716
131971cb170cbc6
149da05c799550
154a13b7dc79c9
hex24c1880131c2

40413629067714 has 80 divisors (see below), whose sum is σ = 103495018955328. Its totient is φ = 11546537400288.

The previous prime is 40413629067673. The next prime is 40413629067743. The reversal of 40413629067714 is 41776092631404.

40413629067714 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 3 + 629 + 0 + 6 + 7 + 7 + 1 + 4 = 666.

It is a super-2 number, since 2×404136290677142 (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67010637 + ... + 67611039.

Almost surely, 240413629067714 is an apocalyptic number.

40413629067714 is an abundant number, since it is smaller than the sum of its proper divisors (63081389887614).

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

40413629067714 is a wasteful number, since it uses less digits than its factorization.

40413629067714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659781 (or 659772 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 40413629067714 in words is "forty trillion, four hundred thirteen billion, six hundred twenty-nine million, sixty-seven thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 59357 118714 178071 356142 415499 534213 600403 830998 1068426 1200806 1246497 1602639 1801209 2492994 3205278 3602418 3739491 4202821 4807917 5403627 7478982 8405642 9615834 10807254 11218473 12608463 16210881 22436946 25216926 32421762 33655419 37825389 48632643 67310838 75650778 97265286 113476167 226952334 340428501 680857002 35638120871 71276241742 106914362613 213828725226 249466846097 320743087839 498933692194 641486175678 748400538291 962229263517 1496801076582 1924458527034 2245201614873 2886687790551 4490403229746 5773375581102 6735604844619 13471209689238 20206814533857 40413629067714