Search a number
-
+
40455442505343 = 3172339318773561
BaseRepresentation
bin10010011001011010001000…
…10001111001111001111111
312022020111120100100110201010
421030231010101321321333
520300310221240132333
6222012550153450303
711343544402341015
oct1114550421717177
9168214510313633
1040455442505343
1111988069694318
124654651a10993
131975c163a8988
149dc0a7b3a8b5
154a2513bbe563
hex24cb44479e7f

40455442505343 has 32 divisors (see below), whose sum is σ = 59611931914752. Its totient is φ = 24273983923200.

The previous prime is 40455442505321. The next prime is 40455442505393. The reversal of 40455442505343 is 34350524455404.

It is not a de Polignac number, because 40455442505343 - 210 = 40455442504319 is a prime.

It is a super-3 number, since 3×404554425053433 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 40455442505292 and 40455442505301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40455442505393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224283 + ... + 8997843.

It is an arithmetic number, because the mean of its divisors is an integer number (1862872872336).

Almost surely, 240455442505343 is an apocalyptic number.

40455442505343 is a deficient number, since it is larger than the sum of its proper divisors (19156489409409).

40455442505343 is a wasteful number, since it uses less digits than its factorization.

40455442505343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8777535.

The product of its (nonzero) digits is 11520000, while the sum is 48.

The spelling of 40455442505343 in words is "forty trillion, four hundred fifty-five billion, four hundred forty-two million, five hundred five thousand, three hundred forty-three".

Divisors: 1 3 17 23 51 69 391 1173 3931 11793 66827 90413 200481 271239 1537021 4611063 8773561 26320683 149150537 201791903 447451611 605375709 3430462351 10291387053 34488868291 103466604873 586310760947 793243970693 1758932282841 2379731912079 13485147501781 40455442505343