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2034253551141 = 32759354451499
BaseRepresentation
bin11101100110100010111…
…101011101011000100101
321012110202121221112120100
4131212202331131120211
5231312122402114031
64154305001254313
7266653461612450
oct35464275353045
97173677845510
102034253551141
117147a4107839
1228a303494399
13119aa1c34a26
147065bbb0497
1537db0262de6
hex1d9a2f5d625

2034253551141 has 24 divisors (see below), whose sum is σ = 3363795864000. Its totient is φ = 1160470325376.

The previous prime is 2034253551101. The next prime is 2034253551221. The reversal of 2034253551141 is 1411553524302.

2034253551141 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 2 + 535 + 5 + 114 + 1 = 666.

It is not a de Polignac number, because 2034253551141 - 210 = 2034253550117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2034253551096 and 2034253551105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034253551101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 27188391 + ... + 27263108.

It is an arithmetic number, because the mean of its divisors is an integer number (140158161000).

Almost surely, 22034253551141 is an apocalyptic number.

2034253551141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2034253551141 is a deficient number, since it is larger than the sum of its proper divisors (1329542312859).

2034253551141 is a wasteful number, since it uses less digits than its factorization.

2034253551141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54452105 (or 54452102 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 2034253551141 in words is "two trillion, thirty-four billion, two hundred fifty-three million, five hundred fifty-one thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 63 593 1779 4151 5337 12453 37359 54451499 163354497 381160493 490063491 1143481479 3430444437 32289738907 96869216721 226028172349 290607650163 678084517047 2034253551141