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40323400432304 = 2411172792768961
BaseRepresentation
bin10010010101100100001011…
…11101010111101010110000
312021202212202002220011111112
421022302011331113222300
520241124311002313204
6221432151525532452
711331161311260653
oct1112620575275260
9167685662804445
1040323400432304
1111937070351520
124632b41274128
131966632418802
149d593d38389a
1549dd8693726e
hex24ac85f57ab0

40323400432304 has 60 divisors (see below), whose sum is σ = 90537386536248. Its totient is φ = 17250652569600.

The previous prime is 40323400432297. The next prime is 40323400432313.

40323400432304 is nontrivially palindromic in base 10.

40323400432304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396333617 + ... + 396435344.

Almost surely, 240323400432304 is an apocalyptic number.

40323400432304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40323400432304 is an abundant number, since it is smaller than the sum of its proper divisors (50213986103944).

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

40323400432304 is a wasteful number, since it uses less digits than its factorization.

40323400432304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792769014 (or 792768991 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

It can be divided in two parts, 40323400 and 432304, that added together give a palindrome (40755704).

The spelling of 40323400432304 in words is "forty trillion, three hundred twenty-three billion, four hundred million, four hundred thirty-two thousand, three hundred four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 289 374 578 748 1156 1496 2312 2992 3179 4624 6358 12716 25432 50864 792768961 1585537922 3171075844 6342151688 8720458571 12684303376 13477072337 17440917142 26954144674 34881834284 53908289348 69763668568 107816578696 139527337136 148247795707 215633157392 229110229729 296495591414 458220459458 592991182828 916440918916 1185982365656 1832881837832 2371964731312 2520212527019 3665763675664 5040425054038 10080850108076 20161700216152 40323400432304