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4441034201142 = 23711471091876367
BaseRepresentation
bin100000010100000001001…
…0001000001100000110110
3120201120002022100110200110
41000220002101001200312
51040230214223414032
613240103303323450
7635565652602450
oct100500221014066
916646068313613
104441034201142
1114624830356a0
125b8851450586
13262a3183c766
14114d391a12d0
157a7c50757cc
hex40a02441836

4441034201142 has 128 divisors (see below), whose sum is σ = 11413120942080. Its totient is φ = 1118614354560.

The previous prime is 4441034201141. The next prime is 4441034201183. The reversal of 4441034201142 is 2411024301444.

It is a happy number.

It is a super-2 number, since 2×44410342011422 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4441034201141) 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, 1428643 + ... + 3305009.

It is an arithmetic number, because the mean of its divisors is an integer number (89165007360).

Almost surely, 24441034201142 is an apocalyptic number.

4441034201142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4441034201142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5706560471040).

4441034201142 is an abundant number, since it is smaller than the sum of its proper divisors (6972086740938).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4441034201142 is a wasteful number, since it uses less digits than its factorization.

4441034201142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876546.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 4441034201142 its reverse (2411024301444), we get a palindrome (6852058502586).

The spelling of 4441034201142 in words is "four trillion, four hundred forty-one billion, thirty-four million, two hundred one thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 47 66 77 94 109 141 154 218 231 282 327 329 462 517 654 658 763 987 1034 1199 1526 1551 1974 2289 2398 3102 3597 3619 4578 5123 7194 7238 8393 10246 10857 15369 16786 21714 25179 30738 35861 50358 56353 71722 107583 112706 169059 215166 338118 394471 788942 1183413 1876367 2366826 3752734 5629101 11258202 13134569 20640037 26269138 39403707 41280074 61920111 78807414 88189249 123840222 144480259 176378498 204524003 264567747 288960518 409048006 433440777 529135494 613572009 617324743 866881554 970081739 1227144018 1234649486 1431668021 1851974229 1940163478 2249764033 2863336042 2910245217 3703948458 4295004063 4499528066 5820490434 6749292099 6790572173 8590008126 9612628141 13498584198 13581144346 15748348231 19225256282 20371716519 28837884423 31496696462 40743433038 47245044693 57675768846 67288396987 94490089386 105738909551 134576793974 201865190961 211477819102 317216728653 403730381922 634433457306 740172366857 1480344733714 2220517100571 4441034201142