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34402431230001 = 3229317443938611
BaseRepresentation
bin1111101001001111100001…
…01100010110000000110001
311111210211200120202002222200
413310213300230112000301
514002122134343330001
6201100131515053413
710150331213410422
oct764476054260061
9144724616662880
1034402431230001
11aa63a9761810a
123a37508741269
13162719b477743
1486d12d71b649
153e9d45d22086
hex1f49f0b16031

34402431230001 has 48 divisors (see below), whose sum is σ = 51684557146560. Its totient is φ = 22024386034560.

The previous prime is 34402431229987. The next prime is 34402431230003. The reversal of 34402431230001 is 10003213420443.

34402431230001 is a `hidden beast` number, since 3 + 4 + 40 + 2 + 4 + 312 + 300 + 0 + 1 = 666.

It is not a de Polignac number, because 34402431230001 - 218 = 34402430967857 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34402431230003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36183186 + ... + 37121796.

It is an arithmetic number, because the mean of its divisors is an integer number (1076761607220).

Almost surely, 234402431230001 is an apocalyptic number.

It is an amenable number.

34402431230001 is a deficient number, since it is larger than the sum of its proper divisors (17282125916559).

34402431230001 is a wasteful number, since it uses less digits than its factorization.

34402431230001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939406 (or 939403 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34402431230001 its reverse (10003213420443), we get a palindrome (44405644650444).

The spelling of 34402431230001 in words is "thirty-four trillion, four hundred two billion, four hundred thirty-one million, two hundred thirty thousand, one".

Divisors: 1 3 9 29 87 261 317 443 951 1329 2853 3987 9193 12847 27579 38541 82737 115623 140431 421293 938611 1263879 2815833 4072499 8447499 12217497 27219719 36652491 81659157 244977471 297539687 415804673 892619061 1247414019 2677857183 3742242057 8628650923 12058335517 25885952769 36175006551 77657858307 108525019653 131810081341 395430244023 1186290732069 3822492358889 11467477076667 34402431230001