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40451414301 = 3241792276113
BaseRepresentation
bin100101101011000101…
…111001100100011101
310212102010110202111200
4211223011321210131
51130321030224201
630325542110113
72631265230324
oct455305714435
9125363422450
1040451414301
1116178850311
127a0b11b339
133a78755c0c
141d5a5170bb
1510bb454386
hex96b17991d

40451414301 has 48 divisors (see below), whose sum is σ = 60889570560. Its totient is φ = 25858160640.

The previous prime is 40451414293. The next prime is 40451414359. The reversal of 40451414301 is 10341415404.

40451414301 is a `hidden beast` number, since 4 + 0 + 4 + 514 + 143 + 0 + 1 = 666.

It is not a de Polignac number, because 40451414301 - 23 = 40451414293 is a prime.

It is a super-2 number, since 2×404514143012 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40451412301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6614221 + ... + 6620333.

It is an arithmetic number, because the mean of its divisors is an integer number (1268532720).

Almost surely, 240451414301 is an apocalyptic number.

40451414301 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

40451414301 is a deficient number, since it is larger than the sum of its proper divisors (20438156259).

40451414301 is a wasteful number, since it uses less digits than its factorization.

40451414301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6466 (or 6463 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 40451414301 its reverse (10341415404), we get a palindrome (50792829705).

The spelling of 40451414301 in words is "forty billion, four hundred fifty-one million, four hundred fourteen thousand, three hundred one".

Divisors: 1 3 9 41 79 123 227 237 369 681 711 2043 3239 6113 9307 9717 17933 18339 27921 29151 53799 55017 83763 161397 250633 482927 735253 751899 1387651 1448781 2205759 2255697 4162953 4346343 6617277 12488859 19800007 56893691 59400021 109624429 170681073 178200063 328873287 512043219 986619861 4494601589 13483804767 40451414301