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40092340487936 = 2811291094504061
BaseRepresentation
bin10010001110110101110011…
…01101101000011100000000
312020221210100010211211022012
421013122321231220130000
520223333103131103221
6221134100021232052
711305401400201202
oct1107327155503400
9166853303754265
1040092340487936
1111858080000410
1245b61b7862628
13194a8cb269839
149c86a0184772
15497d617b665b
hex2476b9b68700

40092340487936 has 144 divisors (see below), whose sum is σ = 91142397007200. Its totient is φ = 17433955123200.

The previous prime is 40092340487923. The next prime is 40092340487939. The reversal of 40092340487936 is 63978404329004.

It is a super-3 number, since 3×400923404879363 (a number of 42 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40092340487939) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6649346 + ... + 11153406.

It is an arithmetic number, because the mean of its divisors is an integer number (632933312550).

Almost surely, 240092340487936 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 40092340487936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45571198503600).

40092340487936 is an abundant number, since it is smaller than the sum of its proper divisors (51050056519264).

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

40092340487936 is a wasteful number, since it uses less digits than its factorization.

40092340487936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4504226 (or 4504212 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 59.

The spelling of 40092340487936 in words is "forty trillion, ninety-two billion, three hundred forty million, four hundred eighty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 109 116 128 176 218 232 256 319 352 436 464 638 704 872 928 1199 1276 1408 1744 1856 2398 2552 2816 3161 3488 3712 4796 5104 6322 6976 7424 9592 10208 12644 13952 19184 20416 25288 27904 34771 38368 40832 50576 69542 76736 81664 101152 139084 153472 202304 278168 306944 404608 556336 809216 1112672 2225344 4450688 4504061 8901376 9008122 18016244 36032488 49544671 72064976 99089342 130617769 144129952 198178684 261235538 288259904 396357368 490942649 522471076 576519808 792714736 981885298 1044942152 1153039616 1436795459 1585429472 1963770596 2089884304 2873590918 3170858944 3927541192 4179768608 5400369139 5747181836 6341717888 7855082384 8359537216 10800738278 11494363672 12683435776 14237336821 15710164768 16719074432 21601476556 22988727344 28474673642 31420329536 33438148864 43202953112 45977454688 56949347284 62840659072 86405906224 91954909376 113898694568 125681318144 156610705031 172811812448 183909818752 227797389136 313221410062 345623624896 367819637504 455594778272 626442820124 691247249792 911189556544 1252885640248 1382494499584 1822379113088 2505771280496 3644758226176 5011542560992 10023085121984 20046170243968 40092340487936