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42040242100224 = 21133760276369
BaseRepresentation
bin10011000111100010000011…
…01100100101100000000000
312111212000012202101100212000
421203301001230211200000
521002241403434201344
6225225004241104000
711566210250543124
oct1143610154454000
9174760182340760
1042040242100224
1112439191751425
12486b820028000
131a5c4bb0b9154
14a54a89757584
154cd86aaa4a69
hex263c41b25800

42040242100224 has 96 divisors (see below), whose sum is σ = 124533269406000. Its totient is φ = 14013414014976.

The previous prime is 42040242100211. The next prime is 42040242100253. The reversal of 42040242100224 is 42200124204024.

42040242100224 is a `hidden beast` number, since 4 + 20 + 402 + 4 + 2 + 10 + 0 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 380082889 + ... + 380193480.

Almost surely, 242040242100224 is an apocalyptic number.

It is an amenable number.

42040242100224 is an abundant number, since it is smaller than the sum of its proper divisors (82493027305776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42040242100224 is an equidigital number, since it uses as much as digits as its factorization.

42040242100224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760276400 (or 760276374 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 42040242100224 its reverse (42200124204024), we get a palindrome (84240366304248).

The spelling of 42040242100224 in words is "forty-two trillion, forty billion, two hundred forty-two million, one hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4608 6144 6912 9216 13824 18432 27648 55296 760276369 1520552738 2280829107 3041105476 4561658214 6082210952 6842487321 9123316428 12164421904 13684974642 18246632856 20527461963 24328843808 27369949284 36493265712 41054923926 48657687616 54739898568 72986531424 82109847852 97315375232 109479797136 145973062848 164219695704 194630750464 218959594272 291946125696 328439391408 389261500928 437919188544 583892251392 656878782816 778523001856 875838377088 1167784502784 1313757565632 1557046003712 1751676754176 2335569005568 2627515131264 3503353508352 4671138011136 5255030262528 7006707016704 10510060525056 14013414033408 21020121050112 42040242100224