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15343340406144 = 27341974551601
BaseRepresentation
bin1101111101000110011001…
…0110101100010110000000
32000022210211202220011021020
43133101212112230112000
54002341130120444034
652344344442025440
73142343164404252
oct337214626542600
960283752804236
1015343340406144
11498608a728453
1218797857a8280
13873b4218c60a
143b089babbcd2
151b91aebe0249
hexdf4665ac580

15343340406144 has 64 divisors (see below), whose sum is σ = 41749790629680. Its totient is φ = 4989704192000.

The previous prime is 15343340406091. The next prime is 15343340406151. The reversal of 15343340406144 is 44160404334351.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×153433404061442 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 15343340406096 and 15343340406105.

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, 487260057 + ... + 487291544.

Almost surely, 215343340406144 is an apocalyptic number.

It is an amenable number.

15343340406144 is an abundant number, since it is smaller than the sum of its proper divisors (26406450223536).

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

15343340406144 is an equidigital number, since it uses as much as digits as its factorization.

15343340406144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974551659 (or 974551647 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 15343340406144 in words is "fifteen trillion, three hundred forty-three billion, three hundred forty million, four hundred six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1968 2624 3936 5248 7872 15744 974551601 1949103202 2923654803 3898206404 5847309606 7796412808 11694619212 15592825616 23389238424 31185651232 39956615641 46778476848 62371302464 79913231282 93556953696 119869846923 124742604928 159826462564 187113907392 239739693846 319652925128 374227814784 479479387692 639305850256 958958775384 1278611700512 1917917550768 2557223401024 3835835101536 5114446802048 7671670203072 15343340406144