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4040273993808 = 24313471091126271
BaseRepresentation
bin111010110010110011000…
…110001010000001010000
3112022020122122022120021110
4322302303012022001100
51012143440120300213
612332024245253320
7564620520210513
oct72626306120120
915266578276243
104040273993808
11131851a381278
12553047704240
13233cc48718c0
14dd79c070d7a
157016ba655c3
hex3acb318a050

4040273993808 has 160 divisors (see below), whose sum is σ = 11490016591872. Its totient is φ = 1215586137600.

The previous prime is 4040273993807. The next prime is 4040273993813. The reversal of 4040273993808 is 8083993720404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040273993807) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 31933713 + ... + 32059983.

Almost surely, 24040273993808 is an apocalyptic number.

4040273993808 is a gapful number since it is divisible by the number (48) 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 4040273993808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745008295936).

4040273993808 is an abundant number, since it is smaller than the sum of its proper divisors (7449742598064).

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

4040273993808 is a wasteful number, since it uses less digits than its factorization.

4040273993808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127433 (or 127427 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 4040273993808 in words is "four trillion, forty billion, two hundred seventy-three million, nine hundred ninety-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 47 48 52 78 94 104 141 156 188 208 282 312 376 564 611 624 752 1091 1128 1222 1833 2182 2256 2444 3273 3666 4364 4888 6546 7332 8728 9776 13092 14183 14664 17456 26184 28366 29328 42549 51277 52368 56732 85098 102554 113464 126271 153831 170196 205108 226928 252542 307662 340392 378813 410216 505084 615324 666601 680784 757626 820432 1010168 1230648 1333202 1515252 1641523 1999803 2020336 2461296 2666404 3030504 3283046 3999606 4924569 5332808 5934737 6061008 6566092 7999212 9849138 10665616 11869474 13132184 15998424 17804211 19698276 23738948 26264368 31996848 35608422 39396552 47477896 71216844 77151581 78793104 94955792 137761661 142433688 154303162 231454743 275523322 284867376 308606324 413284983 462909486 551046644 617212648 826569966 925818972 1102093288 1234425296 1653139932 1790901593 1851637944 2204186576 3306279864 3581803186 3703275888 5372704779 6474798067 6612559728 7163606372 10745409558 12949596134 14327212744 19424394201 21490819116 25899192268 28654425488 38848788402 42981638232 51798384536 77697576804 84172374871 85963276464 103596769072 155395153608 168344749742 252517124613 310790307216 336689499484 505034249226 673378998968 1010068498452 1346757997936 2020136996904 4040273993808