Search a number
-
+
40888548509472 = 2533407911602037
BaseRepresentation
bin10010100110000000110110…
…11010001100011100100000
312100202220111020201002202000
421103000123122030130200
520324404221404300342
6222543535002324000
711420046230543346
oct1123003332143440
9170686436632660
1040888548509472
1112034810742604
1247045841b9600
1319a7a09729c71
14a15032a65996
154ad911c2444c
hex25301b68c720

40888548509472 has 96 divisors (see below), whose sum is σ = 119287513900800. Its totient is φ = 13626173608704.

The previous prime is 40888548509443. The next prime is 40888548509477. The reversal of 40888548509472 is 27490584588804.

40888548509472 is a `hidden beast` number, since 4 + 0 + 8 + 8 + 8 + 5 + 48 + 509 + 4 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×408885485094722 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 40888548509472.

It is not an unprimeable number, because it can be changed into a prime (40888548509477) 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, 2276763 + ... + 9325274.

It is an arithmetic number, because the mean of its divisors is an integer number (1242578269800).

Almost surely, 240888548509472 is an apocalyptic number.

It is an amenable number.

40888548509472 is an abundant number, since it is smaller than the sum of its proper divisors (78398965391328).

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

40888548509472 is a wasteful number, since it uses less digits than its factorization.

40888548509472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11606135 (or 11606121 counting only the distinct ones).

The product of its (nonzero) digits is 825753600, while the sum is 72.

The spelling of 40888548509472 in words is "forty trillion, eight hundred eighty-eight billion, five hundred forty-eight million, five hundred nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 4079 8158 12237 16316 24474 32632 36711 48948 65264 73422 97896 110133 130528 146844 195792 220266 293688 391584 440532 587376 881064 1174752 1762128 3524256 11602037 23204074 34806111 46408148 69612222 92816296 104418333 139224444 185632592 208836666 278448888 313254999 371265184 417673332 556897776 626509998 835346664 1113795552 1253019996 1670693328 2506039992 3341386656 5012079984 10024159968 47324708923 94649417846 141974126769 189298835692 283948253538 378597671384 425922380307 567896507076 757195342768 851844760614 1135793014152 1277767140921 1514390685536 1703689521228 2271586028304 2555534281842 3407379042456 4543172056608 5111068563684 6814758084912 10222137127368 13629516169824 20444274254736 40888548509472