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1054534140340 = 225172199602387
BaseRepresentation
bin11110101100001110010…
…00100000000110110100
310201210221022000210100121
433112013020200012310
5114234141214442330
62124240222221324
7136121224203562
oct17260710400664
93653838023317
101054534140340
1137725303776a
12150461424844
1378599506735
143907b00ca32
151c66e1e017a
hexf5872201b4

1054534140340 has 72 divisors (see below), whose sum is σ = 2476263817440. Its totient is φ = 376106254848.

The previous prime is 1054534140329. The next prime is 1054534140347. The reversal of 1054534140340 is 430414354501.

It is a super-2 number, since 2×10545341403402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 1054534140296 and 1054534140305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054534140347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4691374 + ... + 4911013.

It is an arithmetic number, because the mean of its divisors is an integer number (34392553020).

Almost surely, 21054534140340 is an apocalyptic number.

1054534140340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054534140340 is an abundant number, since it is smaller than the sum of its proper divisors (1421729677100).

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

1054534140340 is a wasteful number, since it uses less digits than its factorization.

1054534140340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9602449 (or 9602430 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 1054534140340 its reverse (430414354501), we get a palindrome (1484948494841).

The spelling of 1054534140340 in words is "one trillion, fifty-four billion, five hundred thirty-four million, one hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 289 323 340 380 578 646 1156 1292 1445 1615 2890 3230 5491 5780 6460 10982 21964 27455 54910 109820 9602387 19204774 38409548 48011935 96023870 163240579 182445353 192047740 326481158 364890706 652962316 729781412 816202895 912226765 1632405790 1824453530 2775089843 3101571001 3264811580 3648907060 5550179686 6203142002 11100359372 12406284004 13875449215 15507855005 27750898430 31015710010 52726707017 55501796860 62031420020 105453414034 210906828068 263633535085 527267070170 1054534140340