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14234032100409 = 31121071583231503
BaseRepresentation
bin1100111100100001111001…
…1011010101010000111001
31212101202112011121110120020
43033020132123111100321
53331202244204203114
650135005111121053
72666242404364152
oct317103633252071
955352464543506
1014234032100409
11459868a049600
12171a798673189
137c3356ab8934
14372d062a6929
1519a3d6e62aa9
hexcf21e6d5439

14234032100409 has 48 divisors (see below), whose sum is σ = 21069249417216. Its totient is φ = 8540627344480.

The previous prime is 14234032100329. The next prime is 14234032100429. The reversal of 14234032100409 is 90400123043241.

It is not a de Polignac number, because 14234032100409 - 28 = 14234032100153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 14234032100409.

It is not an unprimeable number, because it can be changed into a prime (14234032100429) 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 47 ways as a sum of consecutive naturals, for example, 61369552 + ... + 61601054.

It is an arithmetic number, because the mean of its divisors is an integer number (438942696192).

Almost surely, 214234032100409 is an apocalyptic number.

It is an amenable number.

14234032100409 is a deficient number, since it is larger than the sum of its proper divisors (6835217316807).

14234032100409 is a wasteful number, since it uses less digits than its factorization.

14234032100409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233218 (or 233207 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 14234032100409 in words is "fourteen trillion, two hundred thirty-four billion, thirty-two million, one hundred thousand, four hundred nine".

Divisors: 1 3 11 33 107 121 321 363 1177 1583 3531 4749 12947 17413 38841 52239 169381 191543 231503 508143 574629 694509 1863191 2546533 5589573 7639599 20495101 24770821 28011863 61485303 74312463 84035589 272479031 366469249 817437093 1099407747 2997269341 4031161739 8991808023 12093485217 39212209643 44342779129 117636628929 133028337387 431334306073 1294002918219 4744677366803 14234032100409