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1454140466541 = 327223369727997
BaseRepresentation
bin10101001010010001100…
…001101010010101101101
312011000101112211110102100
4111022101201222111231
5142311034424412131
63032004540445313
7210025646011560
oct25122141522555
95130345743370
101454140466541
11510774425114
121b59a4849839
13a7181409aa9
1450548bb64d7
1527c5b2747e6
hex1529186a56d

1454140466541 has 48 divisors (see below), whose sum is σ = 2411988726784. Its totient is φ = 826957942272.

The previous prime is 1454140466539. The next prime is 1454140466557. The reversal of 1454140466541 is 1456640414541.

1454140466541 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 1 + 40 + 4 + 66 + 541 = 666.

It is not a de Polignac number, because 1454140466541 - 21 = 1454140466539 is a prime.

It is a super-2 number, since 2×14541404665412 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1454140466941) 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, 51925155 + ... + 51953151.

Almost surely, 21454140466541 is an apocalyptic number.

It is an amenable number.

1454140466541 is a deficient number, since it is larger than the sum of its proper divisors (957848260243).

1454140466541 is a wasteful number, since it uses less digits than its factorization.

1454140466541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31930 (or 31927 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 1454140466541 in words is "one trillion, four hundred fifty-four billion, one hundred forty million, four hundred sixty-six thousand, five hundred forty-one".

Divisors: 1 3 7 9 21 63 223 669 1561 2007 3697 4683 11091 14049 25879 27997 33273 77637 83991 195979 232911 251973 587937 824431 1763811 2473293 5771017 6243331 7419879 17313051 18729993 43703317 51939153 56189979 103504909 131109951 310514727 393329853 724534363 931544181 2173603089 6520809267 23081594707 69244784121 161571162949 207734352363 484713488847 1454140466541