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141012405566145 = 3358941772809759
BaseRepresentation
bin100000000100000000000010…
…010101111011101011000001
3200111021122122222221000121000
4200010000002111323223001
5121440321401311104040
61215524112123522213
741462544602435331
oct4004000225735301
9614248588830530
10141012405566145
1140a27030835643
1213995195389369
13608b549b80a09
1426b70731650c1
1511480c9dd6130
hex80400257bac1

141012405566145 has 64 divisors (see below), whose sum is σ = 253566229248000. Its totient is φ = 74343769049088.

The previous prime is 141012405566099. The next prime is 141012405566159. The reversal of 141012405566145 is 541665504210141.

It is a happy number.

141012405566145 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 1 + 2 + 40 + 5 + 566 + 1 + 45 = 666.

It is not a de Polignac number, because 141012405566145 - 216 = 141012405500609 is a prime.

It is a super-2 number, since 2×1410124055661452 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 141012405566145.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48781776 + ... + 51591534.

It is an arithmetic number, because the mean of its divisors is an integer number (3961972332000).

Almost surely, 2141012405566145 is an apocalyptic number.

141012405566145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

141012405566145 is a deficient number, since it is larger than the sum of its proper divisors (112553823681855).

141012405566145 is a wasteful number, since it uses less digits than its factorization.

141012405566145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2814039 (or 2814033 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

Adding to 141012405566145 its reverse (541665504210141), we get a palindrome (682677909776286).

The spelling of 141012405566145 in words is "one hundred forty-one trillion, twelve billion, four hundred five million, five hundred sixty-six thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 45 89 135 267 445 801 1335 2403 4005 4177 12015 12531 20885 37593 62655 112779 187965 371753 563895 1115259 1858765 2809759 3345777 5576295 8429277 10037331 14048795 16728885 25287831 42146385 50186655 75863493 126439155 250068551 379317465 750205653 1250342755 2250616959 3751028265 6751850877 11253084795 11736363343 33759254385 35209090029 58681816715 105627270087 176045450145 316881810261 528136350435 1044536337527 1584409051305 3133609012581 5222681687635 9400827037743 15668045062905 28202481113229 47004135188715 141012405566145