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2014452161232 = 243753919123091
BaseRepresentation
bin11101010100000110101…
…101001001101011010000
321010120122122010201010220
4131110012231021223100
5231001044223124412
64141232044553040
7265353000563640
oct35240655115320
97116578121126
102014452161232
11707362801495
122864b7b52780
13117c67748874
146d700028520
1537601b7968c
hex1d506b49ad0

2014452161232 has 160 divisors (see below), whose sum is σ = 6066288875520. Its totient is φ = 564079127040.

The previous prime is 2014452161173. The next prime is 2014452161329. The reversal of 2014452161232 is 2321612544102.

It is a junction number, because it is equal to n+sod(n) for n = 2014452161193 and 2014452161202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16304007 + ... + 16427097.

It is an arithmetic number, because the mean of its divisors is an integer number (37914305472).

Almost surely, 22014452161232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014452161232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033144437760).

2014452161232 is an abundant number, since it is smaller than the sum of its proper divisors (4051836714288).

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

2014452161232 is a wasteful number, since it uses less digits than its factorization.

2014452161232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124081 (or 124075 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 2014452161232 in words is "two trillion, fourteen billion, four hundred fifty-two million, one hundred sixty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 318 336 371 424 636 742 848 919 1113 1272 1484 1838 2226 2544 2757 2968 3676 4452 5514 5936 6433 7352 8904 11028 12866 14704 17808 19299 22056 25732 38598 44112 48707 51464 77196 97414 102928 123091 146121 154392 194828 246182 292242 308784 340949 369273 389656 492364 584484 681898 738546 779312 861637 984728 1022847 1168968 1363796 1477092 1723274 1969456 2045694 2337936 2584911 2727592 2954184 3446548 4091388 5169822 5455184 5908368 6523823 6893096 8182776 10339644 13047646 13786192 16365552 19571469 20679288 26095292 39142938 41358576 45666761 52190584 78285876 91333522 104381168 113120629 137000283 156571752 182667044 226241258 274000566 313143504 339361887 365334088 452482516 548001132 678723774 730668176 791844403 904965032 1096002264 1357447548 1583688806 1809930064 2192004528 2375533209 2714895096 3167377612 4751066418 5429790192 5995393337 6334755224 9502132836 11990786674 12669510448 17986180011 19004265672 23981573348 35972360022 38008531344 41967753359 47963146696 71944720044 83935506718 95926293392 125903260077 143889440088 167871013436 251806520154 287778880176 335742026872 503613040308 671484053744 1007226080616 2014452161232