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1053514140240 = 243530491439699
BaseRepresentation
bin11110101010010100101…
…01100000101001010000
310201201022012201102021010
433111022111200221100
5114230044104441430
62123551104130520
7136054030303422
oct17251225405120
93651265642233
101053514140240
1137687a2a3581
12150217906a40
13784660b6093
1438dc1776812
151c60e8accb0
hexf54a560a50

1053514140240 has 80 divisors (see below), whose sum is σ = 3266967240000. Its totient is φ = 280844768256.

The previous prime is 1053514140089. The next prime is 1053514140251. The reversal of 1053514140240 is 420414153501.

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

It is a super-2 number, since 2×10535141402402 (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 = 1053514140198 and 1053514140207.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11911 + ... + 1451609.

It is an arithmetic number, because the mean of its divisors is an integer number (40837090500).

Almost surely, 21053514140240 is an apocalyptic number.

1053514140240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053514140240 is an abundant number, since it is smaller than the sum of its proper divisors (2213453099760).

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

1053514140240 is a wasteful number, since it uses less digits than its factorization.

1053514140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442764 (or 1442758 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 1053514140240 its reverse (420414153501), we get a palindrome (1473928293741).

The spelling of 1053514140240 in words is "one trillion, fifty-three billion, five hundred fourteen million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3049 6098 9147 12196 15245 18294 24392 30490 36588 45735 48784 60980 73176 91470 121960 146352 182940 243920 365880 731760 1439699 2879398 4319097 5758796 7198495 8638194 11517592 14396990 17276388 21595485 23035184 28793980 34552776 43190970 57587960 69105552 86381940 115175920 172763880 345527760 4389642251 8779284502 13168926753 17558569004 21948211255 26337853506 35117138008 43896422510 52675707012 65844633765 70234276016 87792845020 105351414024 131689267530 175585690040 210702828048 263378535060 351171380080 526757070120 1053514140240