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42145356561 = 37112331255887
BaseRepresentation
bin100111010000000011…
…110001101100010001
311000210011220221102220
4213100003301230101
51142303202402221
631210013131253
73021254422440
oct472003615421
9130704827386
1042145356561
1116967a561a0
128202489b29
133c88691109
14207b4a2d57
15116a00d0c6
hex9d00f1b11

42145356561 has 64 divisors (see below), whose sum is σ = 75464441856. Its totient is φ = 20266171200.

The previous prime is 42145356551. The next prime is 42145356577. The reversal of 42145356561 is 16565354124.

It is not a de Polignac number, because 42145356561 - 25 = 42145356529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42145356551) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36760 + ... + 292646.

It is an arithmetic number, because the mean of its divisors is an integer number (1179131904).

Almost surely, 242145356561 is an apocalyptic number.

It is an amenable number.

42145356561 is a deficient number, since it is larger than the sum of its proper divisors (33319085295).

42145356561 is a wasteful number, since it uses less digits than its factorization.

42145356561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255962.

The product of its digits is 432000, while the sum is 42.

The spelling of 42145356561 in words is "forty-two billion, one hundred forty-five million, three hundred fifty-six thousand, five hundred sixty-one".

Divisors: 1 3 7 11 21 23 31 33 69 77 93 161 217 231 253 341 483 651 713 759 1023 1771 2139 2387 4991 5313 7161 7843 14973 23529 54901 164703 255887 767661 1791209 2814757 5373627 5885401 7932497 8444271 17656203 19703299 23797491 41197807 55527479 59109897 64739411 87257467 123593421 166582437 182447431 194218233 261772401 453175877 547342293 610802269 1277132017 1359527631 1832406807 2006921741 3831396051 6020765223 14048452187 42145356561