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42144341242140 = 223252209310597711
BaseRepresentation
bin10011001010100011111100…
…11111010011000100011100
312112012221220121021200200200
421211101332133103010130
521010443102324222030
6225344502035023500
711606554030624524
oct1145217637230434
9175187817250620
1042144341242140
1112479350a26515
124887a3273ab90
131a6926ac20347
14a59b22d78684
154d140eae9d60
hex26547e7d311c

42144341242140 has 72 divisors (see below), whose sum is σ = 127843633514688. Its totient is φ = 11237981247360.

The previous prime is 42144341242121. The next prime is 42144341242151. The reversal of 42144341242140 is 4124214344124.

42144341242140 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 434 + 1 + 2 + 4 + 214 + 0 = 666.

It is a super-2 number, since 2×421443412421402 (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 42144341242095 and 42144341242104.

It is a congruent number.

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, 1322116 + ... + 9275595.

Almost surely, 242144341242140 is an apocalyptic number.

It is an amenable number.

42144341242140 is an abundant number, since it is smaller than the sum of its proper divisors (85699292272548).

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

42144341242140 is a wasteful number, since it uses less digits than its factorization.

42144341242140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10619819 (or 10619814 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 42144341242140 its reverse (4124214344124), we get a palindrome (46268555586264).

The spelling of 42144341242140 in words is "forty-two trillion, one hundred forty-four billion, three hundred forty-one million, two hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 22093 44186 66279 88372 110465 132558 198837 220930 265116 331395 397674 441860 662790 795348 994185 1325580 1988370 3976740 10597711 21195422 31793133 42390844 52988555 63586266 95379399 105977110 127172532 158965665 190758798 211954220 317931330 381517596 476896995 635862660 953793990 1907587980 234135229123 468270458246 702405687369 936540916492 1170676145615 1404811374738 2107217062107 2341352291230 2809622749476 3512028436845 4214434124214 4682704582460 7024056873690 8428868248428 10536085310535 14048113747380 21072170621070 42144341242140