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1114344233334 = 23512739074621
BaseRepresentation
bin10000001101110100000…
…101111001100101110110
310221112022120021022200000
4100031310011321211312
5121224134110431314
62211531144132130
7143336326461543
oct20156405714566
93845276238600
101114344233334
1139a6552a5892
1215bb73767046
138110b8015c7
143bd12589bca
151debee2e209
hex10374179976

1114344233334 has 96 divisors (see below), whose sum is σ = 2524742578176. Its totient is φ = 368349236640.

The previous prime is 1114344233333. The next prime is 1114344233389. The reversal of 1114344233334 is 4333324434111.

1114344233334 is a `hidden beast` number, since 1 + 11 + 43 + 44 + 233 + 334 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114344233333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241145544 + ... + 241150164.

It is an arithmetic number, because the mean of its divisors is an integer number (26299401856).

Almost surely, 21114344233334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114344233334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262371289088).

1114344233334 is an abundant number, since it is smaller than the sum of its proper divisors (1410398344842).

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

1114344233334 is a wasteful number, since it uses less digits than its factorization.

1114344233334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8672 (or 8660 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 1114344233334 its reverse (4333324434111), we get a palindrome (5447668667445).

The spelling of 1114344233334 in words is "one trillion, one hundred fourteen billion, three hundred forty-four million, two hundred thirty-three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 127 162 243 254 381 486 762 1143 2286 3429 3907 4621 6858 7814 9242 10287 11721 13863 20574 23442 27726 30861 35163 41589 61722 70326 83178 105489 124767 210978 249534 316467 374301 496189 586867 632934 748602 949401 992378 1122903 1173734 1488567 1760601 1898802 2245806 2977134 3521202 4465701 5281803 8931402 10563606 13397103 15845409 18054247 26794206 31690818 36108494 40191309 47536227 54162741 80382618 95072454 108325482 120573927 142608681 162488223 241147854 285217362 324976446 487464669 974929338 1462394007 2292889369 2924788014 4387182021 4585778738 6878668107 8774364042 13757336214 20636004321 41272008642 61908012963 123816025926 185724038889 371448077778 557172116667 1114344233334