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40572219024 = 24321192723623
BaseRepresentation
bin100101110010010010…
…101110111010010000
310212201112210021102200
4211302102232322100
51131042442002044
630345535243200
72634263112561
oct456222567220
9125645707380
1040572219024
111622aa61727
127a43679500
133a977a21bc
141d6c5a2168
1510c6d68369
hex9724aee90

40572219024 has 60 divisors (see below), whose sum is σ = 113560190016. Its totient is φ = 13522366656.

The previous prime is 40572219013. The next prime is 40572219059. The reversal of 40572219024 is 42091227504.

40572219024 is a `hidden beast` number, since 40 + 572 + 21 + 9 + 0 + 24 = 666.

It is a super-2 number, since 2×405722190242 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40572219024.

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 11 ways as a sum of consecutive naturals, for example, 1705677 + ... + 1729299.

Almost surely, 240572219024 is an apocalyptic number.

It is an amenable number.

40572219024 is an abundant number, since it is smaller than the sum of its proper divisors (72987970992).

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

40572219024 is a wasteful number, since it uses less digits than its factorization.

40572219024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35564 (or 35555 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

It can be divided in two parts, 4057 and 2219024, that added together give a square (2223081 = 14912).

The spelling of 40572219024 in words is "forty billion, five hundred seventy-two million, two hundred nineteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 11927 23623 23854 35781 47246 47708 70869 71562 94492 95416 107343 141738 143124 188984 190832 212607 214686 283476 286248 377968 425214 429372 566952 572496 850428 858744 1133904 1700856 1717488 3401712 281751521 563503042 845254563 1127006084 1690509126 2254012168 2535763689 3381018252 4508024336 5071527378 6762036504 10143054756 13524073008 20286109512 40572219024