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214273669140 = 22345263502919
BaseRepresentation
bin1100011110001110110…
…1001011100000010100
3202111002002201012120000
43013203231023200110
512002313024403030
6242234100211300
721323621064516
oct3074355134024
9674062635500
10214273669140
118296699a083
123563b999b30
131728a539c4b
14a529a75bb6
155891614860
hex31e3b4b814

214273669140 has 120 divisors (see below), whose sum is σ = 674741612160. Its totient is φ = 56922270912.

The previous prime is 214273669123. The next prime is 214273669153. The reversal of 214273669140 is 41966372412.

214273669140 is a `hidden beast` number, since 2 + 142 + 7 + 366 + 9 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 174601 + ... + 677519.

It is an arithmetic number, because the mean of its divisors is an integer number (5622846768).

Almost surely, 2214273669140 is an apocalyptic number.

214273669140 is a gapful number since it is divisible by the number (20) 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 214273669140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337370806080).

214273669140 is an abundant number, since it is smaller than the sum of its proper divisors (460467943020).

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

214273669140 is a wasteful number, since it uses less digits than its factorization.

214273669140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503203 (or 503192 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 214273669140 in words is "two hundred fourteen billion, two hundred seventy-three million, six hundred sixty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 263 270 324 405 526 540 789 810 1052 1315 1578 1620 2367 2630 3156 3945 4734 5260 7101 7890 9468 11835 14202 15780 21303 23670 28404 35505 42606 47340 71010 85212 106515 142020 213030 426060 502919 1005838 1508757 2011676 2514595 3017514 4526271 5029190 6035028 7543785 9052542 10058380 13578813 15087570 18105084 22631355 27157626 30175140 40736439 45262710 54315252 67894065 81472878 90525420 132267697 135788130 162945756 203682195 264535394 271576260 396803091 407364390 529070788 661338485 793606182 814728780 1190409273 1322676970 1587212364 1984015455 2380818546 2645353940 3571227819 3968030910 4761637092 5952046365 7142455638 7936061820 10713683457 11904092730 14284911276 17856139095 21427366914 23808185460 35712278190 42854733828 53568417285 71424556380 107136834570 214273669140