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133035441417 = 3417283487701
BaseRepresentation
bin111101111100110000…
…1111011110100001001
3110201101110122122110000
41323321201323310021
54134424033111132
6141040551113213
712416512410534
oct1737141736411
9421343578400
10133035441417
11514690471aa
1221949372809
13c711a17a08
146620699a1b
1536d95a887c
hex1ef987bd09

133035441417 has 80 divisors (see below), whose sum is σ = 211901069952. Its totient is φ = 82889049600.

The previous prime is 133035441397. The next prime is 133035441419. The reversal of 133035441417 is 714144530331.

It is not a de Polignac number, because 133035441417 - 212 = 133035437321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133035441419) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 189779167 + ... + 189779867.

Almost surely, 2133035441417 is an apocalyptic number.

133035441417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

133035441417 is a deficient number, since it is larger than the sum of its proper divisors (78865628535).

133035441417 is a wasteful number, since it uses less digits than its factorization.

133035441417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 133035441417 its reverse (714144530331), we get a palindrome (847179971748).

The spelling of 133035441417 in words is "one hundred thirty-three billion, thirty-five million, four hundred forty-one thousand, four hundred seventeen".

Divisors: 1 3 9 17 27 51 81 153 283 459 487 701 849 1377 1461 2103 2547 4383 4811 6309 7641 8279 11917 13149 14433 18927 22923 24837 35751 39447 43299 56781 74511 107253 129897 137821 198383 223533 321759 341387 389691 413463 595149 670599 965277 1024161 1240389 1785447 2342957 3072483 3372511 3721167 5356341 5803579 7028871 9217449 10117533 11163501 16069023 17410737 21086613 27652347 30352599 52232211 63259839 91057797 96612521 156696633 189779517 273173391 289837563 470089899 869512689 1642412857 2608538067 4927238571 7825614201 14781715713 44345147139 133035441417