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214200313404 = 2237112149141439
BaseRepresentation
bin1100011101111101010…
…1010110011000111100
3202110212222200100101220
43013133111112120330
512002140240012104
6242222520033340
721322040423430
oct3073725263074
9673788610356
10214200313404
1182929546900
123561b302850
1317278294b9c
14a52001c9c0
155889e747d9
hex31df55663c

214200313404 has 144 divisors (see below), whose sum is σ = 632067072000. Its totient is φ = 55262655360.

The previous prime is 214200313363. The next prime is 214200313423. The reversal of 214200313404 is 404313002412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1443717 + ... + 1585155.

Almost surely, 2214200313404 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 214200313404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316033536000).

214200313404 is an abundant number, since it is smaller than the sum of its proper divisors (417866758596).

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

214200313404 is a wasteful number, since it uses less digits than its factorization.

214200313404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141624 (or 141611 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 214200313404 its reverse (404313002412), we get a palindrome (618513315816).

The spelling of 214200313404 in words is "two hundred fourteen billion, two hundred million, three hundred thirteen thousand, four hundred four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 149 154 231 242 298 308 363 447 462 484 596 726 847 894 924 1043 1452 1639 1694 1788 2086 2541 3129 3278 3388 4172 4917 5082 6258 6556 9834 10164 11473 12516 18029 19668 22946 34419 36058 45892 54087 68838 72116 108174 126203 137676 141439 216348 252406 282878 378609 424317 504812 565756 757218 848634 990073 1514436 1555829 1697268 1980146 2970219 3111658 3960292 4667487 5940438 6223316 9334974 10890803 11880876 17114119 18669948 21074411 21781606 32672409 34228238 42148822 43563212 51342357 63223233 65344818 68456476 84297644 102684714 119798833 126446466 130689636 147520877 205369428 231818521 239597666 252892932 295041754 359396499 442562631 463637042 479195332 590083508 695455563 718792998 885125262 927274084 1390911126 1437585996 1622729647 1770250524 2550003731 2781822252 3245459294 4868188941 5100007462 6490918588 7650011193 9736377882 10200014924 15300022386 17850026117 19472755764 30600044772 35700052234 53550078351 71400104468 107100156702 214200313404