Search a number
-
+
204003214040 = 235311271797237
BaseRepresentation
bin1011110111111110001…
…0100000001011011000
3201111120100001000210002
42331333202200023120
511320244310322130
6233415012512132
720511250464653
oct2757742401330
9644510030702
10204003214040
117957655015a
123365431b648
13163117c7792
149c33a3089a
15548eb31b45
hex2f7f8a02d8

204003214040 has 128 divisors (see below), whose sum is σ = 480278937600. Its totient is φ = 77898723840.

The previous prime is 204003213983. The next prime is 204003214061. The reversal of 204003214040 is 40412300402.

It is a super-2 number, since 2×2040032140402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28185302 + ... + 28192538.

It is an arithmetic number, because the mean of its divisors is an integer number (3752179200).

Almost surely, 2204003214040 is an apocalyptic number.

204003214040 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 204003214040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240139468800).

204003214040 is an abundant number, since it is smaller than the sum of its proper divisors (276275723560).

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

204003214040 is a wasteful number, since it uses less digits than its factorization.

204003214040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7585 (or 7581 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 204003214040 its reverse (40412300402), we get a palindrome (244415514442).

The spelling of 204003214040 in words is "two hundred four billion, three million, two hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 127 155 179 248 254 310 358 508 620 635 716 895 1016 1240 1270 1432 1790 2540 3580 3937 5080 5549 7160 7237 7874 11098 14474 15748 19685 22196 22733 27745 28948 31496 36185 39370 44392 45466 55490 57896 72370 78740 90932 110980 113665 144740 157480 181864 221960 224347 227330 289480 448694 454660 704723 897388 909320 919099 1121735 1295423 1409446 1794776 1838198 2243470 2590846 2818892 3523615 3676396 4486940 4595495 5181692 5637784 6477115 7047230 7352792 8973880 9190990 10363384 12954230 14094460 18381980 25908460 28188920 28492069 36763960 40158113 51816920 56984138 80316226 113968276 142460345 160632452 164518721 200790565 227936552 284920690 321264904 329037442 401581130 569841380 658074884 803162260 822593605 1139682760 1316149768 1606324520 1645187210 3290374420 5100080351 6580748840 10200160702 20400321404 25500401755 40800642808 51000803510 102001607020 204003214040