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4340214434031 = 37597173675863
BaseRepresentation
bin111111001010001000111…
…100001000100011101111
3120100220212000011122100220
4333022020330020203233
51032102224343342111
613121511134022423
7625366362661410
oct77121074104357
916326760148326
104340214434031
111423746998413
125a11b5047a13
13256385248a28
141100d330b807
1577d73dabe06
hex3f288f088ef

4340214434031 has 64 divisors (see below), whose sum is σ = 6913926512640. Its totient is φ = 2370815758080.

The previous prime is 4340214434029. The next prime is 4340214434113. The reversal of 4340214434031 is 1304344120434.

It is not a de Polignac number, because 4340214434031 - 21 = 4340214434029 is a prime.

It is a super-2 number, since 2×43402144340312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4340214433983 and 4340214434001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4340214436031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6083806 + ... + 6759668.

It is an arithmetic number, because the mean of its divisors is an integer number (108030101760).

Almost surely, 24340214434031 is an apocalyptic number.

4340214434031 is a deficient number, since it is larger than the sum of its proper divisors (2573712078609).

4340214434031 is a wasteful number, since it uses less digits than its factorization.

4340214434031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676076.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 4340214434031 its reverse (1304344120434), we get a palindrome (5644558554465).

The spelling of 4340214434031 in words is "four trillion, three hundred forty billion, two hundred fourteen million, four hundred thirty-four thousand, thirty-one".

Divisors: 1 3 7 21 59 71 73 177 213 219 413 497 511 1239 1491 1533 4189 4307 5183 12567 12921 15549 29323 30149 36281 87969 90447 108843 305797 675863 917391 2027589 2140579 4731041 6421737 14193123 39875917 47986273 49337999 119627751 143958819 148013997 279131419 335903911 345365993 837394257 1007711733 1036097979 2831190107 2910941941 3502997929 8493570321 8732825823 10508993787 19818330749 20376593587 24520985503 59454992247 61129780761 73562956509 206676877811 620030633433 1446738144677 4340214434031