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40943456544 = 2534353187141
BaseRepresentation
bin100110001000011010…
…111001000100100000
310220200102100002120110
4212020122321010200
51132323011102134
630450440211320
72646421431654
oct461032710440
9126612302513
1040943456544
11164005719a1
127b27a69b40
133b26682b83
141da59daa64
1510e97497e9
hex9886b9120

40943456544 has 96 divisors (see below), whose sum is σ = 112051646784. Its totient is φ = 13078840320.

The previous prime is 40943456527. The next prime is 40943456549. The reversal of 40943456544 is 44565434904.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 40943456493 and 40943456502.

It is not an unprimeable number, because it can be changed into a prime (40943456549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125214 + ... + 312354.

It is an arithmetic number, because the mean of its divisors is an integer number (1167204654).

Almost surely, 240943456544 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 40943456544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56025823392).

40943456544 is an abundant number, since it is smaller than the sum of its proper divisors (71108190240).

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

40943456544 is a wasteful number, since it uses less digits than its factorization.

40943456544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187250 (or 187242 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 40943456544 in words is "forty billion, nine hundred forty-three million, four hundred fifty-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 53 86 96 106 129 159 172 212 258 318 344 424 516 636 688 848 1032 1272 1376 1696 2064 2279 2544 4128 4558 5088 6837 9116 13674 18232 27348 36464 54696 72928 109392 187141 218784 374282 561423 748564 1122846 1497128 2245692 2994256 4491384 5988512 8047063 8982768 9918473 16094126 17965536 19836946 24141189 29755419 32188252 39673892 48282378 59510838 64376504 79347784 96564756 119021676 128753008 158695568 193129512 238043352 257506016 317391136 386259024 426494339 476086704 772518048 852988678 952173408 1279483017 1705977356 2558966034 3411954712 5117932068 6823909424 10235864136 13647818848 20471728272 40943456544