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34541440101 = 327379141637
BaseRepresentation
bin100000001010110101…
…001000110001100101
310022011020210222000100
4200022311020301211
51031220102040401
623511302534313
72331653253000
oct401265106145
9108136728010
1034541440101
1113715819213
12683ba37399
13334621aa6c
141959660537
15d726a0b86
hex80ad48c65

34541440101 has 48 divisors (see below), whose sum is σ = 58921408000. Its totient is φ = 19487980512.

The previous prime is 34541440057. The next prime is 34541440111. The reversal of 34541440101 is 10104414543.

It is not a de Polignac number, because 34541440101 - 29 = 34541439589 is a prime.

It is a super-2 number, since 2×345414401012 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34541440111) 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, 173055 + ... + 314691.

Almost surely, 234541440101 is an apocalyptic number.

It is an amenable number.

34541440101 is a deficient number, since it is larger than the sum of its proper divisors (24379967899).

34541440101 is a wasteful number, since it uses less digits than its factorization.

34541440101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141743 (or 141726 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 34541440101 its reverse (10104414543), we get a palindrome (44645854644).

The spelling of 34541440101 in words is "thirty-four billion, five hundred forty-one million, four hundred forty thousand, one hundred one".

Divisors: 1 3 7 9 21 49 63 79 147 237 343 441 553 711 1029 1659 3087 3871 4977 11613 27097 34839 81291 141637 243873 424911 991459 1274733 2974377 6940213 8923131 11189323 20820639 33567969 48581491 62461917 78325261 100703907 145744473 234975783 437233419 548276827 704927349 1644830481 3837937789 4934491443 11513813367 34541440101