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40434133143404 = 227111310098434851
BaseRepresentation
bin10010011000110010011100…
…01001001000111101101100
312022011110120021000201112202
421030121032021020331230
520244433101041042104
6221555103452121032
711342161340632250
oct1114311611107554
9168143507021482
1040434133143404
111197a0240532a0
1246504a5466178
131973bcb668a80
149db0459b8260
154a1bb801451e
hex24c64e248f6c

40434133143404 has 48 divisors (see below), whose sum is σ = 95006075087616. Its totient is φ = 14541746184000.

The previous prime is 40434133143377. The next prime is 40434133143431.

40434133143404 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (40434133143377) and next prime (40434133143431).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5049213422 + ... + 5049221429.

It is an arithmetic number, because the mean of its divisors is an integer number (1979293230992).

Almost surely, 240434133143404 is an apocalyptic number.

40434133143404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40434133143404 is an abundant number, since it is smaller than the sum of its proper divisors (54571941944212).

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

40434133143404 is a wasteful number, since it uses less digits than its factorization.

40434133143404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10098434886 (or 10098434884 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

It can be divided in two parts, 4043413 and 3143404, that added together give a palindrome (7186817).

The spelling of 40434133143404 in words is "forty trillion, four hundred thirty-four billion, one hundred thirty-three million, one hundred forty-three thousand, four hundred four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 10098434851 20196869702 40393739404 70689043957 111082783361 131279653063 141378087914 222165566722 262559306126 282756175828 444331133444 525118612252 777579483527 918957571441 1444076183693 1555158967054 1837915142882 2888152367386 3110317934108 3675830285764 5776304734772 10108533285851 20217066571702 40434133143404