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40301340241032 = 23321343056987437
BaseRepresentation
bin10010010100111011000110…
…00100011010110010001000
312021200202210200202100010100
421022131203010122302020
520240244121100203112
6221414102523245400
711326450531610343
oct1112354304326210
9167622720670110
1040301340241032
111192877aa04292
12462a805379860
131964527c807b0
149d484961545a
1549d4e4db92dc
hex24a76311ac88

40301340241032 has 48 divisors (see below), whose sum is σ = 117545575705740. Its totient is φ = 12400412381568.

The previous prime is 40301340240919. The next prime is 40301340241061. The reversal of 40301340241032 is 23014204310304.

40301340241032 is a `hidden beast` number, since 4 + 0 + 301 + 340 + 2 + 4 + 10 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40266563212836 + 34777028196 = 6345594^2 + 186486^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40301340240987 and 40301340241005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21528492783 + ... + 21528494654.

Almost surely, 240301340241032 is an apocalyptic number.

It is an amenable number.

40301340241032 is an abundant number, since it is smaller than the sum of its proper divisors (77244235464708).

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

40301340241032 is a wasteful number, since it uses less digits than its factorization.

40301340241032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43056987462 (or 43056987455 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 40301340241032 its reverse (23014204310304), we get a palindrome (63315544551336).

The spelling of 40301340241032 in words is "forty trillion, three hundred one billion, three hundred forty million, two hundred forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 43056987437 86113974874 129170962311 172227949748 258341924622 344455899496 387512886933 516683849244 559740836681 775025773866 1033367698488 1119481673362 1550051547732 1679222510043 2238963346724 3100103095464 3358445020086 4477926693448 5037667530129 6716890040172 10075335060258 13433780080344 20150670120516 40301340241032