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4022420044401 = 36114123775147
BaseRepresentation
bin111010100010001010111…
…010101111101001110001
3112020112120100221222000000
4322202022322233221301
51011400404012410101
612315512501220213
7563416214146053
oct72421272575161
915215510858000
104022420044401
111310998283890
1254b6a4401669
1323240a9896b5
14dc986bc18d3
156e97440b486
hex3a88aeafa71

4022420044401 has 112 divisors (see below), whose sum is σ = 6743744175168. Its totient is φ = 2376908582400.

The previous prime is 4022420044399. The next prime is 4022420044403. The reversal of 4022420044401 is 1044400242204.

It is an interprime number because it is at equal distance from previous prime (4022420044399) and next prime (4022420044403).

It is not a de Polignac number, because 4022420044401 - 21 = 4022420044399 is a prime.

It is a super-2 number, since 2×40224200444012 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4022420044403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 781505110 + ... + 781510256.

It is an arithmetic number, because the mean of its divisors is an integer number (60212001564).

Almost surely, 24022420044401 is an apocalyptic number.

4022420044401 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4022420044401 is a deficient number, since it is larger than the sum of its proper divisors (2721324130767).

4022420044401 is a wasteful number, since it uses less digits than its factorization.

4022420044401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7594 (or 7579 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 4022420044401 its reverse (1044400242204), we get a palindrome (5066820286605).

The spelling of 4022420044401 in words is "four trillion, twenty-two billion, four hundred twenty million, forty-four thousand, four hundred one".

Divisors: 1 3 9 11 27 33 41 81 99 123 243 297 369 451 729 891 1107 1353 2377 2673 3321 4059 5147 7131 8019 9963 12177 15441 21393 26147 29889 36531 46323 56617 64179 78441 97457 109593 138969 169851 192537 211027 235323 292371 328779 416907 509553 577611 633081 705969 877113 1072027 1250721 1528659 1732833 1899243 2117907 2321297 2631339 3216081 3752163 4585977 5697729 6353721 6963891 7894017 9648243 12234419 13757931 17093187 19061163 20891673 23682051 28944729 36703257 41273793 51279561 62675019 71046153 86834187 110109771 134578609 153838683 188025057 260502561 330329313 403735827 501611179 564075171 781507683 990987939 1211207481 1504833537 1692225513 2972963817 3633622443 4514500611 5517722969 8918891451 10900867329 13543501833 16553168907 32702601987 40630505499 49659506721 98107805961 121891516497 148978520163 365674549491 446935560489 1340806681467 4022420044401