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1453344433541 = 711213990113331
BaseRepresentation
bin10101001001100010000…
…101000010010110000101
312010221100001221210102122
4111021202011002112011
5142302422133333131
63031353543015325
7210000141566630
oct25114205022605
95127301853378
101453344433541
115103a6053800
121b580213a545
13a7085515750
14504b11a0c17
1527c11432d7b
hex15262142585

1453344433541 has 48 divisors (see below), whose sum is σ = 1966472559744. Its totient is φ = 1045178640000.

The previous prime is 1453344433501. The next prime is 1453344433543.

1453344433541 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1453344433541 - 210 = 1453344432517 is a prime.

It is a super-2 number, since 2×14533444335412 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1453344433492 and 1453344433501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1453344433543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109013246 + ... + 109026576.

It is an arithmetic number, because the mean of its divisors is an integer number (40968178328).

Almost surely, 21453344433541 is an apocalyptic number.

1453344433541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1453344433541 is a deficient number, since it is larger than the sum of its proper divisors (513128126203).

1453344433541 is a wasteful number, since it uses less digits than its factorization.

1453344433541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23274 (or 23263 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 44.

The spelling of 1453344433541 in words is "one trillion, four hundred fifty-three billion, three hundred forty-four million, four hundred thirty-three thousand, five hundred forty-one".

Divisors: 1 7 11 13 77 91 121 143 847 1001 1573 9901 11011 13331 69307 93317 108911 128713 146641 173303 762377 900991 1026487 1198021 1213121 1415843 1613051 1906333 8386147 9910901 11291357 13344331 15574273 20969663 109019911 131990231 146787641 923931617 1451892541 1715873003 10163247787 12011111021 15970817951 18874603033 111795725657 132122221231 207620633363 1453344433541