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73142224141 = 7177116075387
BaseRepresentation
bin100010000011110011…
…1011100010100001101
320222210101222222001111
41010013213130110031
52144243402133031
653333455412021
75166350434660
oct1040747342415
9228711888044
1073142224141
1129023973628
1212213224011
136b8843768c
14377c0816d7
151d813ea1b1
hex11079dc50d

73142224141 has 32 divisors (see below), whose sum is σ = 89827356672. Its totient is φ = 58127435520.

The previous prime is 73142224091. The next prime is 73142224201. The reversal of 73142224141 is 14142224137.

It is not a de Polignac number, because 73142224141 - 27 = 73142224013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73142225141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13574850 + ... + 13580236.

It is an arithmetic number, because the mean of its divisors is an integer number (2807104896).

Almost surely, 273142224141 is an apocalyptic number.

73142224141 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

It is an amenable number.

73142224141 is a deficient number, since it is larger than the sum of its proper divisors (16685132531).

73142224141 is a wasteful number, since it uses less digits than its factorization.

73142224141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7089.

The product of its digits is 10752, while the sum is 31.

Adding to 73142224141 its reverse (14142224137), we get a palindrome (87284448278).

The spelling of 73142224141 in words is "seventy-three billion, one hundred forty-two million, two hundred twenty-four thousand, one hundred forty-one".

Divisors: 1 7 17 71 119 497 1207 1607 5387 8449 11249 27319 37709 91579 114097 191233 382477 641053 798679 1939649 2677339 6502109 8656909 13577543 45514763 60598363 147167453 614640539 1030172171 4302483773 10448889163 73142224141