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1114234554432 = 26383145148187
BaseRepresentation
bin10000001101101101100…
…011100000100001000000
310221112000220220001111110
4100031231203200201000
5121223423021220212
62211512225243320
7143333525305146
oct20155543404100
93845026801443
101114234554432
1139a5a93a346a
1215bb42a93540
13810c1b7c44c
143bd01b99596
151deb54b6a3c
hex1036d8e0840

1114234554432 has 112 divisors (see below), whose sum is σ = 2985716143872. Its totient is φ = 366676185600.

The previous prime is 1114234554337. The next prime is 1114234554487. The reversal of 1114234554432 is 2344554324111.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23099043 + ... + 23147229.

It is an arithmetic number, because the mean of its divisors is an integer number (26658179856).

Almost surely, 21114234554432 is an apocalyptic number.

1114234554432 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 1114234554432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492858071936).

1114234554432 is an abundant number, since it is smaller than the sum of its proper divisors (1871481589440).

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

1114234554432 is a wasteful number, since it uses less digits than its factorization.

1114234554432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49736 (or 49726 counting only the distinct ones).

The product of its digits is 230400, while the sum is 39.

Adding to 1114234554432 its reverse (2344554324111), we get a palindrome (3458788878543).

The spelling of 1114234554432 in words is "one trillion, one hundred fourteen billion, two hundred thirty-four million, five hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 166 192 249 332 498 664 996 1328 1451 1992 2656 2902 3984 4353 5312 5804 7968 8706 11608 15936 17412 23216 34824 46432 48187 69648 92864 96374 120433 139296 144561 192748 240866 278592 289122 361299 385496 481732 578244 722598 770992 963464 1156488 1445196 1541984 1926928 2312976 2890392 3083968 3853856 3999521 4625952 5780784 7707712 7999042 9251904 11561568 11998563 15998084 23123136 23997126 31996168 47994252 63992336 69919337 95988504 127984672 139838674 191977008 209758011 255969344 279677348 383954016 419516022 559354696 767908032 839032044 1118709392 1678064088 2237418784 3356128176 4474837568 5803304971 6712256352 11606609942 13424512704 17409914913 23213219884 34819829826 46426439768 69639659652 92852879536 139279319304 185705759072 278558638608 371411518144 557117277216 1114234554432