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34154345421 = 32729179181577
BaseRepresentation
bin11111110011110000…
…011111001111001101
310021011021102111221100
4133303300133033031
51024422003023141
623405034053313
72316243101040
oct376360371715
9107137374840
1034154345421
1113537268259
12675227a239
1332b3c77561
141920098c57
15d4d6db0b6
hex7f3c1f3cd

34154345421 has 96 divisors (see below), whose sum is σ = 59078073600. Its totient is φ = 18602680320.

The previous prime is 34154345411. The next prime is 34154345441. The reversal of 34154345421 is 12454345143.

34154345421 is a `hidden beast` number, since 3 + 41 + 543 + 4 + 54 + 21 = 666.

It is not a de Polignac number, because 34154345421 - 27 = 34154345293 is a prime.

It is a super-2 number, since 2×341543454212 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34154345411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59192685 + ... + 59193261.

It is an arithmetic number, because the mean of its divisors is an integer number (615396600).

Almost surely, 234154345421 is an apocalyptic number.

It is an amenable number.

34154345421 is a deficient number, since it is larger than the sum of its proper divisors (24923728179).

34154345421 is a wasteful number, since it uses less digits than its factorization.

34154345421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 976 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The spelling of 34154345421 in words is "thirty-four billion, one hundred fifty-four million, three hundred forty-five thousand, four hundred twenty-one".

Divisors: 1 3 7 9 21 29 63 87 179 181 203 261 537 543 577 609 1253 1267 1611 1629 1731 1827 3759 3801 4039 5191 5193 5249 11277 11403 12117 15573 15747 16733 32399 36337 36351 36743 46719 47241 50199 97197 103283 104437 109011 110229 117131 150597 226793 291591 309849 313311 327033 330687 351393 680379 722981 731059 929547 939571 939933 1054179 2041137 2168943 2193177 2818713 2995207 3028673 6506829 6576997 6579531 8456139 8985621 9086019 18694223 19730991 20966449 21200711 26956863 27258057 56082669 59192973 62899347 63602133 130859561 168248007 188698041 190806399 392578683 542132467 1177736049 1626397401 3794927269 4879192203 11384781807 34154345421