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40255515410432 = 2147794443041
BaseRepresentation
bin10010010011100101101111…
…01100100100000000000000
312021112101112002020202012012
421021302313230210000000
520234021243421113212
6221341043430152052
711323236125150210
oct1111626754440000
9167471462222165
1040255515410432
11119102a4a98863
1246219567b2628
13196010420470a
149d253d5d6240
1549c211d4b922
hex249cb7b24000

40255515410432 has 120 divisors (see below), whose sum is σ = 93174500616960. Its totient is φ = 17033975562240.

The previous prime is 40255515410401. The next prime is 40255515410491. The reversal of 40255515410432 is 23401451555204.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 40255515410432.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6838832 + ... + 11281872.

It is an arithmetic number, because the mean of its divisors is an integer number (776454171808).

Almost surely, 240255515410432 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 40255515410432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46587250308480).

40255515410432 is an abundant number, since it is smaller than the sum of its proper divisors (52918985206528).

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

40255515410432 is an frugal number, since it uses more digits than its factorization.

40255515410432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4443155 (or 4443129 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 41.

Adding to 40255515410432 its reverse (23401451555204), we get a palindrome (63656966965636).

The spelling of 40255515410432 in words is "forty trillion, two hundred fifty-five billion, five hundred fifteen million, four hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 128 158 224 256 316 448 512 553 632 896 1024 1106 1264 1792 2048 2212 2528 3584 4096 4424 5056 7168 8192 8848 10112 14336 16384 17696 20224 28672 35392 40448 57344 70784 80896 114688 141568 161792 283136 323584 566272 647168 1132544 1294336 2265088 4443041 4530176 8886082 9060352 17772164 31101287 35544328 62202574 71088656 124405148 142177312 248810296 284354624 351000239 497620592 568709248 702000478 995241184 1137418496 1404000956 1990482368 2274836992 2457001673 2808001912 3980964736 4549673984 4914003346 5616003824 7961929472 9099347968 9828006692 11232007648 15923858944 18198695936 19656013384 22464015296 31847717888 36397391872 39312026768 44928030592 63695435776 72794783744 78624053536 89856061184 127390871552 157248107072 179712122368 254781743104 314496214144 359424244736 509563486208 628992428288 718848489472 1257984856576 1437696978944 2515969713152 2875393957888 5031939426304 5750787915776 10063878852608 20127757705216 40255515410432