Search a number
-
+
4022434311 = 3717195367167
BaseRepresentation
bin1110111111000001…
…0111101000000111
3101101022220211112120
43233300113220013
531214220344221
61503050421023
7201452061510
oct35760275007
911338824476
104022434311
111784617485
12943131773
134c1477b5c
142a2313a07
151882075c6
hexefc17a07

4022434311 has 128 divisors (see below), whose sum is σ = 7106641920. Its totient is φ = 1968924672.

The previous prime is 4022434309. The next prime is 4022434313. The reversal of 4022434311 is 1134342204.

It is an interprime number because it is at equal distance from previous prime (4022434309) and next prime (4022434313).

It is not a de Polignac number, because 4022434311 - 21 = 4022434309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022434313) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24086350 + ... + 24086516.

It is an arithmetic number, because the mean of its divisors is an integer number (55520640).

Almost surely, 24022434311 is an apocalyptic number.

4022434311 is a deficient number, since it is larger than the sum of its proper divisors (3084207609).

4022434311 is a wasteful number, since it uses less digits than its factorization.

4022434311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4022434311 is about 63422.6640168954. The cubic root of 4022434311 is about 1590.3632084295.

Adding to 4022434311 its reverse (1134342204), we get a palindrome (5156776515).

The spelling of 4022434311 in words is "four billion, twenty-two million, four hundred thirty-four thousand, three hundred eleven".

Divisors: 1 3 7 17 19 21 51 53 57 67 119 133 159 167 201 323 357 371 399 469 501 901 969 1007 1113 1139 1169 1273 1407 2261 2703 2839 3021 3173 3417 3507 3551 3819 6307 6783 7049 7973 8517 8851 8911 9519 10653 11189 17119 18921 19873 21147 21641 22211 23919 24857 26553 26733 33567 51357 53941 59619 60367 61957 64923 66633 67469 74571 78323 119833 150467 151487 161823 168169 181101 185871 190213 202407 212591 234969 359499 377587 422569 451401 454461 472283 504507 570639 593017 637773 1053269 1132761 1146973 1177183 1267707 1331491 1416849 1488137 1779051 2858873 3159807 3440919 3531549 3614047 3994473 4151119 4464411 8028811 8576619 10081289 10842141 11267323 12453357 20012111 24086433 25298329 30243867 33801969 60036333 70569023 75894987 78871261 191544491 211707069 236613783 574633473 1340811437 4022434311