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40440341442204 = 2232112572467161071
BaseRepresentation
bin10010011000111110000000…
…01011111010111010011100
312022012001120221000222110100
421030133000023322322130
520300033304402122304
6222002011505341100
711342501234410614
oct1114370013727234
9168161527028410
1040440341442204
111198171a515050
124651738637790
13197467a936262
149db474329a44
154a1e2d095439
hex24c7c02fae9c

40440341442204 has 144 divisors (see below), whose sum is σ = 111997299488256. Its totient is φ = 12201941606400.

The previous prime is 40440341442197. The next prime is 40440341442227. The reversal of 40440341442204 is 40224414304404.

It is a happy number.

40440341442204 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 0 + 3 + 4 + 1 + 442 + 204 = 666.

40440341442204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250990989 + ... + 251152059.

It is an arithmetic number, because the mean of its divisors is an integer number (777759024224).

Almost surely, 240440341442204 is an apocalyptic number.

40440341442204 is a gapful number since it is divisible by the number (44) 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 40440341442204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55998649744128).

40440341442204 is an abundant number, since it is smaller than the sum of its proper divisors (71556958046052).

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

40440341442204 is a wasteful number, since it uses less digits than its factorization.

40440341442204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163816 (or 163811 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 40440341442204 its reverse (40224414304404), we get a palindrome (80664755746608).

The spelling of 40440341442204 in words is "forty trillion, four hundred forty billion, three hundred forty-one million, four hundred forty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 257 396 514 771 1028 1542 2313 2467 2827 3084 4626 4934 5654 7401 8481 9252 9868 11308 14802 16962 22203 25443 27137 29604 33924 44406 50886 54274 81411 88812 101772 108548 161071 162822 244233 322142 325644 483213 488466 634019 644284 966426 976932 1268038 1449639 1771781 1902057 1932852 2536076 2899278 3543562 3804114 5315343 5706171 5798556 6974209 7087124 7608228 10630686 11412342 13948418 15946029 20922627 21261372 22824684 27896836 31892058 41395247 41845254 62767881 63784116 82790494 83690508 124185741 125535762 165580988 248371482 251071524 372557223 397362157 455347717 496742964 745114446 794724314 910695434 1192086471 1366043151 1490228892 1589448628 1821390868 2384172942 2732086302 3576259413 4098129453 4370983727 4768345884 5464172604 7152518826 8196258906 8741967454 13112951181 14305037652 16392517812 17483934908 26225902362 39338853543 52451804724 78677707086 102122074349 157355414172 204244148698 306366223047 408488297396 612732446094 919098669141 1123342817839 1225464892188 1838197338282 2246685635678 3370028453517 3676394676564 4493371271356 6740056907034 10110085360551 13480113814068 20220170721102 40440341442204