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42242242224204 = 223211217014915549
BaseRepresentation
bin10011001101011010010011…
…10101111010000001001100
312112120022121111020212122100
421212231021311322001030
521014044103002133304
6225501452420515100
711616621066346311
oct1146551165720114
9175508544225570
1042242242224204
111250691a534350
1248a29b554ba90
131a755708c6c29
14a6076d326d08
154d3c3e913439
hex266b49d7a04c

42242242224204 has 72 divisors (see below), whose sum is σ = 116491574581200. Its totient is φ = 12800086992000.

The previous prime is 42242242224199. The next prime is 42242242224211. The reversal of 42242242224204 is 40242224224224.

42242242224204 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 2 + 2 + 4 + 222 + 420 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6135822 + ... + 11051370.

It is an arithmetic number, because the mean of its divisors is an integer number (1617938535850).

Almost surely, 242242242224204 is an apocalyptic number.

42242242224204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42242242224204 is an abundant number, since it is smaller than the sum of its proper divisors (74249332356996).

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

42242242224204 is a wasteful number, since it uses less digits than its factorization.

42242242224204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4937271 (or 4937266 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 42242242224204 its reverse (40242224224224), we get a palindrome (82484466448428).

The spelling of 42242242224204 in words is "forty-two trillion, two hundred forty-two billion, two hundred forty-two million, two hundred twenty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 21701 43402 65103 86804 130206 195309 238711 260412 390618 477422 716133 781236 954844 1432266 2148399 2864532 4296798 4915549 8593596 9831098 14746647 19662196 29493294 44239941 54071039 58986588 88479882 108142078 162213117 176959764 216284156 324426234 486639351 648852468 973278702 1946557404 106672328849 213344657698 320016986547 426689315396 640033973094 960050959641 1173395617339 1280067946188 1920101919282 2346791234678 3520186852017 3840203838564 4693582469356 7040373704034 10560560556051 14080747408068 21121121112102 42242242224204