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1052000034000 = 24353175333339
BaseRepresentation
bin11110100111100000001…
…01101001110011010000
310201120101200122211222020
433103300011221303100
5114213444002042000
62123140535411440
7136001353514466
oct17236005516320
93646350584866
101052000034000
11376172659103
1214ba74823b80
13782844c5226
1438cba640836
151c5719c8ba0
hexf4f0169cd0

1052000034000 has 80 divisors (see below), whose sum is σ = 3391648128960. Its totient is φ = 280533340800.

The previous prime is 1052000033993. The next prime is 1052000034077. The reversal of 1052000034000 is 4300002501.

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

It is a super-2 number, since 2×10520000340002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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, 87660670 + ... + 87672669.

It is an arithmetic number, because the mean of its divisors is an integer number (42395601612).

Almost surely, 21052000034000 is an apocalyptic number.

1052000034000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052000034000 is an abundant number, since it is smaller than the sum of its proper divisors (2339648094960).

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

1052000034000 is a wasteful number, since it uses less digits than its factorization.

1052000034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175333365 (or 175333349 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 1052000034000 its reverse (4300002501), we get a palindrome (1056300036501).

The spelling of 1052000034000 in words is "one trillion, fifty-two billion, thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 175333339 350666678 526000017 701333356 876666695 1052000034 1402666712 1753333390 2104000068 2630000085 2805333424 3506666780 4208000136 4383333475 5260000170 7013333560 8416000272 8766666950 10520000340 13150000425 14026667120 17533333900 21040000680 21916667375 26300000850 35066667800 42080001360 43833334750 52600001700 65750002125 70133335600 87666669500 105200003400 131500004250 175333339000 210400006800 263000008500 350666678000 526000017000 1052000034000