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10011444014412 = 2235173061197933
BaseRepresentation
bin1001000110101111100010…
…0100000110110101001100
31022110002021202011102100000
42101223320210012311030
52303011414131430122
633143105514004300
72052205626016641
oct221537044066514
938402252142300
1010011444014412
11320a91416a475
121158350416690
135780c9065299
142687b0d7ddc8
1512564998c0ac
hex91af8906d4c

10011444014412 has 144 divisors (see below), whose sum is σ = 27796973716512. Its totient is φ = 3139803233280.

The previous prime is 10011444014389. The next prime is 10011444014423. The reversal of 10011444014412 is 21441044411001.

10011444014412 is a `hidden beast` number, since 100 + 1 + 144 + 4 + 0 + 1 + 4 + 412 = 666.

It is a super-2 number, since 2×100114440144122 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50480998 + ... + 50678930.

It is an arithmetic number, because the mean of its divisors is an integer number (193034539698).

Almost surely, 210011444014412 is an apocalyptic number.

10011444014412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011444014412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13898486858256).

10011444014412 is an abundant number, since it is smaller than the sum of its proper divisors (17785529702100).

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

10011444014412 is a wasteful number, since it uses less digits than its factorization.

10011444014412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201030 (or 201016 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 10011444014412 its reverse (21441044411001), we get a palindrome (31452488425413).

The spelling of 10011444014412 in words is "ten trillion, eleven billion, four hundred forty-four million, fourteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 918 972 1377 1836 2754 3061 4131 5508 6122 8262 9183 12244 16524 18366 27549 36732 52037 55098 82647 104074 110196 156111 165294 197933 208148 247941 312222 330588 395866 468333 495882 593799 624444 743823 791732 936666 991764 1187598 1404999 1487646 1781397 1873332 2375196 2809998 2975292 3364861 3562794 4214997 5344191 5619996 6729722 7125588 8429994 10094583 10688382 12644991 13459444 16032573 16859988 20189166 21376764 25289982 30283749 32065146 40378332 48097719 50579964 60567498 64130292 90851247 96195438 121134996 181702494 192390876 272553741 363404988 545107482 605872913 817661223 1090214964 1211745826 1635322446 1817618739 2423491652 3270644892 3635237478 5452856217 7270474956 10299839521 10905712434 16358568651 20599679042 21811424868 30899518563 32717137302 41199358084 49075705953 61799037126 65434274604 92698555689 98151411906 123598074252 147227117859 185397111378 196302823812 278095667067 294454235718 370794222756 556191334134 588908471436 834287001201 1112382668268 1668574002402 2502861003603 3337148004804 5005722007206 10011444014412