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1053112553040 = 243535312430507
BaseRepresentation
bin11110101001100100110…
…01100100111001010000
310201200021020001200012010
433110302121210321100
5114223233303144130
62123443200502520
7136041053001312
oct17246231447120
93650236050163
101053112553040
11376693644129
1215012531aa40
1378400b3a212
1438d842bb7b2
151c5d94d40b0
hexf532664e50

1053112553040 has 80 divisors (see below), whose sum is σ = 3273897475008. Its totient is φ = 280034439168.

The previous prime is 1053112552991. The next prime is 1053112553041. The reversal of 1053112553040 is 403552113501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10531125530402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1053112552989 and 1053112553007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053112553041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6130534 + ... + 6299973.

Almost surely, 21053112553040 is an apocalyptic number.

1053112553040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053112553040 is an abundant number, since it is smaller than the sum of its proper divisors (2220784921968).

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

1053112553040 is a wasteful number, since it uses less digits than its factorization.

1053112553040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12430876 (or 12430870 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 1053112553040 its reverse (403552113501), we get a palindrome (1456664666541).

The spelling of 1053112553040 in words is "one trillion, fifty-three billion, one hundred twelve million, five hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 353 706 1059 1412 1765 2118 2824 3530 4236 5295 5648 7060 8472 10590 14120 16944 21180 28240 42360 84720 12430507 24861014 37291521 49722028 62152535 74583042 99444056 124305070 149166084 186457605 198888112 248610140 298332168 372915210 497220280 596664336 745830420 994440560 1491660840 2983321680 4387968971 8775937942 13163906913 17551875884 21939844855 26327813826 35103751768 43879689710 52655627652 65819534565 70207503536 87759379420 105311255304 131639069130 175518758840 210622510608 263278138260 351037517680 526556276520 1053112553040