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220414134423 = 371719833791033
BaseRepresentation
bin1100110101000110110…
…1001100100010010111
3210001221001002011101010
43031101231030202113
512102402004300143
6245131251503303
721632032141620
oct3152155144227
9701831064333
10220414134423
118552803a57a
12368742b7b33
1317a28746a62
14a94d3aaa47
155b00746a33
hex3351b4c897

220414134423 has 128 divisors (see below), whose sum is σ = 380220825600. Its totient is φ = 110550085632.

The previous prime is 220414134301. The next prime is 220414134431. The reversal of 220414134423 is 324431414022.

220414134423 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220414134423 - 210 = 220414133399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220414134443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 213372315 + ... + 213373347.

It is an arithmetic number, because the mean of its divisors is an integer number (2970475200).

Almost surely, 2220414134423 is an apocalyptic number.

220414134423 is a deficient number, since it is larger than the sum of its proper divisors (159806691177).

220414134423 is a wasteful number, since it uses less digits than its factorization.

220414134423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 220414134423 its reverse (324431414022), we get a palindrome (544845548445).

The spelling of 220414134423 in words is "two hundred twenty billion, four hundred fourteen million, one hundred thirty-four thousand, four hundred twenty-three".

Divisors: 1 3 7 17 19 21 51 57 83 119 133 249 323 357 379 399 581 969 1033 1137 1411 1577 1743 2261 2653 3099 4233 4731 6443 6783 7201 7231 7959 9877 11039 17561 19329 19627 21603 21693 26809 29631 31457 33117 45101 50407 52683 58881 80427 85739 94371 122417 122927 135303 137389 151221 187663 220199 257217 333659 367251 368781 391507 412167 534769 562989 597683 600173 660597 856919 1000977 1174521 1457563 1604307 1629041 1793049 1800519 2335613 2570757 2740549 3743383 4183781 4372689 4887123 6655619 7006839 7438633 8221647 10160611 10202941 11230149 11403287 12551343 19966857 22315899 27693697 30481833 30608823 32495081 34209861 46589333 52070431 71124277 83081091 97485243 126456761 139767999 156211293 193855879 213372831 227465567 379370283 552416377 581567637 617406539 682396701 885197327 1657249131 1852219617 2655591981 3866914639 4321845773 10495911163 11600743917 12965537319 31487733489 73471378141 220414134423