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214019902044 = 2232133473593671
BaseRepresentation
bin1100011101010010010…
…1001000101001011100
3202110102102012111112200
43013110211020221130
512001303043331134
6242152553131500
721314420102664
oct3072445105134
9673372174480
10214019902044
1182846723103
123558a9b9b90
1317249aa89c0
14a5040991a4
1558791d9499
hex31d4948a5c

214019902044 has 144 divisors (see below), whose sum is σ = 586075875840. Its totient is φ = 65461760640.

The previous prime is 214019902037. The next prime is 214019902121. The reversal of 214019902044 is 440209910412.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58298329 + ... + 58301999.

It is an arithmetic number, because the mean of its divisors is an integer number (4069971360).

Almost surely, 2214019902044 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 214019902044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293037937920).

214019902044 is an abundant number, since it is smaller than the sum of its proper divisors (372055973796).

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

214019902044 is a wasteful number, since it uses less digits than its factorization.

214019902044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400 (or 4395 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 214019902044 in words is "two hundred fourteen billion, nineteen million, nine hundred two thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 347 359 468 694 718 1041 1077 1388 1436 2082 2154 3123 3231 3671 4164 4308 4511 4667 6246 6462 7342 9022 9334 11013 12492 12924 13533 14001 14684 18044 18668 22026 27066 28002 33039 40599 42003 44052 47723 54132 56004 66078 81198 84006 95446 124573 132156 143169 162396 168012 190892 249146 286338 373719 429507 498292 572676 747438 859014 1121157 1273837 1317889 1494876 1619449 1718028 2242314 2547674 2635778 3238898 3821511 3953667 4484628 4858347 5095348 5271556 6477796 7643022 7907334 9716694 11464533 11861001 14575041 15286044 15814668 16559881 17132557 19433388 22929066 23722002 29150082 33119762 34265114 45858132 47444004 49679643 51397671 58300164 66239524 68530228 99359286 102795342 149038929 154193013 198718572 205590684 298077858 308386026 457307483 596155716 616772052 914614966 1371922449 1829229932 2743844898 4115767347 5487689796 5944997279 8231534694 11889994558 16463069388 17834991837 23779989116 35669983674 53504975511 71339967348 107009951022 214019902044