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1020240034000 = 24531146374547
BaseRepresentation
bin11101101100010110000…
…10110111100011010000
310121112102021121200110221
432312023002313203100
5113203422422042000
62100405232402424
7133465333126345
oct16661302674320
93545367550427
101020240034000
113637549a1020
121458903a6414
1375292606915
14375465727cc
151b8135e861a
hexed8b0b78d0

1020240034000 has 80 divisors (see below), whose sum is σ = 2691207769536. Its totient is φ = 370996368000.

The previous prime is 1020240033919. The next prime is 1020240034061. The reversal of 1020240034000 is 4300420201.

1020240034000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23165274 + ... + 23209273.

Almost surely, 21020240034000 is an apocalyptic number.

1020240034000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020240034000 is an abundant number, since it is smaller than the sum of its proper divisors (1670967735536).

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

1020240034000 is a wasteful number, since it uses less digits than its factorization.

1020240034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46374581 (or 46374565 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 1020240034000 its reverse (4300420201), we get a palindrome (1024540454201).

The spelling of 1020240034000 in words is "one trillion, twenty billion, two hundred forty million, thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 46374547 92749094 185498188 231872735 370996376 463745470 510120017 741992752 927490940 1020240034 1159363675 1854981880 2040480068 2318727350 2550600085 3709963760 4080960136 4637454700 5101200170 5796818375 8161920272 9274909400 10202400340 11593636750 12753000425 18549818800 20404800680 23187273500 25506000850 40809601360 46374547000 51012001700 63765002125 92749094000 102024003400 127530004250 204048006800 255060008500 510120017000 1020240034000