Search a number
-
+
44220020021023 = 71129473493973041
BaseRepresentation
bin10100000110111110001101…
…00101011101011100011111
312210120101121020002211200011
422003133012211131130133
521244000100111133043
6234014221410544051
712212535214265110
oct1203370645353437
9183511536084604
1044220020021023
11130a9672540a60
124b62177298027
131b89c12279b42
14acc390714207
1551a3e6a1e59d
hex2837c695d71f

44220020021023 has 128 divisors (see below), whose sum is σ = 58579282944000. Its totient is φ = 32375398809600.

The previous prime is 44220020021011. The next prime is 44220020021027. The reversal of 44220020021023 is 32012002002244.

It is not a de Polignac number, because 44220020021023 - 221 = 44220017923871 is a prime.

It is a super-2 number, since 2×442200200210232 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44220020020985 and 44220020021003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44220020021027) 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, 14541274383 + ... + 14541277423.

It is an arithmetic number, because the mean of its divisors is an integer number (457650648000).

Almost surely, 244220020021023 is an apocalyptic number.

44220020021023 is a deficient number, since it is larger than the sum of its proper divisors (14359262922977).

44220020021023 is a wasteful number, since it uses less digits than its factorization.

44220020021023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3881.

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 44220020021023 its reverse (32012002002244), we get a palindrome (76232022023267).

The spelling of 44220020021023 in words is "forty-four trillion, two hundred twenty billion, twenty million, twenty-one thousand, twenty-three".

Divisors: 1 7 11 29 47 77 203 319 329 349 397 517 1363 2233 2443 2779 3041 3619 3839 4367 9541 10121 11513 14993 16403 18659 21287 26873 30569 33451 70847 80591 88189 104951 111331 114821 126643 130613 138553 142927 180433 205249 234157 475687 541111 617323 779317 886501 969871 970079 1000489 1061309 1207277 1263031 1436743 1524083 1572197 3329809 3787777 4018037 4144883 5232557 5952221 6511991 6790553 7429163 8450939 10668581 11005379 11674399 13280047 28126259 29014181 30777961 35011033 36627899 41665547 44198407 45583937 45593713 49881523 56742019 71631901 81720793 92960329 188847739 215445727 245077231 309388849 319155991 338557571 349170661 385121363 397194133 421339673 501423307 548696753 624162209 1321934173 1446564167 1645518551 2077325129 2369902997 2695849541 2949377711 3840877271 4369135463 4634736403 10125949169 11518629857 12218850517 14541275903 15912205837 18100704061 19802964631 32443154821 85531953619 111385440859 126704928427 134407355687 138620752417 217832610941 574285974299 940851489809 1524828276587 4020001820093 6317145717289 44220020021023