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2134443241431 = 324323346795059
BaseRepresentation
bin11111000011110110101…
…110110010111111010111
321120001101000112010222100
4133003312232302333113
5234432314432211211
64312314422133143
7310131331126044
oct37036656627727
97501330463870
102134443241431
11753237623a76
122a58048811b3
1312637ab2bc37
14754440cc1cb
153a7c5e6c156
hex1f0f6bb2fd7

2134443241431 has 48 divisors (see below), whose sum is σ = 3169627718400. Its totient is φ = 1383335646336.

The previous prime is 2134443241387. The next prime is 2134443241433. The reversal of 2134443241431 is 1341423444312.

2134443241431 is a `hidden beast` number, since 2 + 1 + 344 + 43 + 241 + 4 + 31 = 666.

It is not a de Polignac number, because 2134443241431 - 227 = 2134309023703 is a prime.

It is a super-2 number, since 2×21344432414312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134443241433) 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, 421907580 + ... + 421912638.

It is an arithmetic number, because the mean of its divisors is an integer number (66033910800).

Almost surely, 22134443241431 is an apocalyptic number.

2134443241431 is a deficient number, since it is larger than the sum of its proper divisors (1035184476969).

2134443241431 is a wasteful number, since it uses less digits than its factorization.

2134443241431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10020 (or 10017 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 2134443241431 its reverse (1341423444312), we get a palindrome (3475866685743).

The spelling of 2134443241431 in words is "two trillion, one hundred thirty-four billion, four hundred forty-three million, two hundred forty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 43 129 233 387 699 2097 4679 5059 10019 14037 15177 30057 42111 45531 90171 201197 217537 603591 652611 1090207 1178747 1810773 1957833 3270621 3536241 9811863 10608723 23671061 46878901 50686121 71013183 140636703 152058363 213039549 421910109 456175089 1017855623 3053566869 5515357213 9160700607 16546071639 49638214917 237160360159 711481080477 2134443241431