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42154262145 = 3257915775527
BaseRepresentation
bin100111010000100101…
…101111111010000001
311000210210200101121100
4213100211233322001
51142312442342040
631210532045013
73021423213312
oct472045577201
9130723611540
1042154262145
1116971a89086
128205463769
133c8a48b7a8
14207c740609
15116abbbb30
hex9d096fe81

42154262145 has 48 divisors (see below), whose sum is σ = 74464565760. Its totient is φ = 22056008832.

The previous prime is 42154262141. The next prime is 42154262159. The reversal of 42154262145 is 54126245124.

42154262145 is a `hidden beast` number, since 4 + 2 + 15 + 426 + 214 + 5 = 666.

42154262145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42154262145 - 22 = 42154262141 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42154262141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 520372 + ... + 595898.

It is an arithmetic number, because the mean of its divisors is an integer number (1551345120).

Almost surely, 242154262145 is an apocalyptic number.

42154262145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42154262145 is a deficient number, since it is larger than the sum of its proper divisors (32310303615).

42154262145 is a wasteful number, since it uses less digits than its factorization.

42154262145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75774 (or 75771 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The spelling of 42154262145 in words is "forty-two billion, one hundred fifty-four million, two hundred sixty-two thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 79 157 237 395 471 711 785 1185 1413 2355 3555 7065 12403 37209 62015 75527 111627 186045 226581 377635 558135 679743 1132905 3398715 5966633 11857739 17899899 29833165 35573217 53699697 59288695 89499495 106719651 177866085 268498485 533598255 936761381 2810284143 4683806905 8430852429 14051420715 42154262145