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40404145354344 = 23322324398638499
BaseRepresentation
bin10010010111111010100101…
…01110110011011001101000
312022001121011100201012102200
421023331102232303121220
520243440142202314334
6221533224053500200
711340050246631642
oct1113752256633150
9168047140635380
1040404145354344
111196833579a552
124646716641660
13197112c98a9a5
149d97dd02b892
154a10104ed799
hex24bf52bb3668

40404145354344 has 48 divisors (see below), whose sum is σ = 114185628180000. Its totient is φ = 12882481126944.

The previous prime is 40404145354343. The next prime is 40404145354357. The reversal of 40404145354344 is 44345354140404.

40404145354344 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 4 + 14 + 53 + 543 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40404145354344.

It is not an unprimeable number, because it can be changed into a prime (40404145354343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12199317594 + ... + 12199320905.

It is an arithmetic number, because the mean of its divisors is an integer number (2378867253750).

Almost surely, 240404145354344 is an apocalyptic number.

It is an amenable number.

40404145354344 is an abundant number, since it is smaller than the sum of its proper divisors (73781482825656).

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

40404145354344 is a wasteful number, since it uses less digits than its factorization.

40404145354344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24398638534 (or 24398638527 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 45.

Adding to 40404145354344 its reverse (44345354140404), we get a palindrome (84749499494748).

The spelling of 40404145354344 in words is "forty trillion, four hundred four billion, one hundred forty-five million, three hundred fifty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 24398638499 48797276998 73195915497 97594553996 146391830994 195189107992 219587746491 292783661988 439175492982 561168685477 585567323976 878350985964 1122337370954 1683506056431 1756701971928 2244674741908 3367012112862 4489349483816 5050518169293 6734024225724 10101036338586 13468048451448 20202072677172 40404145354344