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1242000141140 = 2251119133478831
BaseRepresentation
bin10010000100101100111…
…110100010101101010100
311101201211010101100022102
4102010230332202231110
5130322104014004030
62350322245221232
7155505631004063
oct22045476425524
94351733340272
101242000141140
11439802778840
1218085b401818
1390173b63925
14441825ca1da
15224920b1c45
hex1212cfa2b54

1242000141140 has 96 divisors (see below), whose sum is σ = 2861384859648. Its totient is φ = 449086736000.

The previous prime is 1242000141103. The next prime is 1242000141143. The reversal of 1242000141140 is 411410002421.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242000141143) 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 31 ways as a sum of consecutive naturals, for example, 140636525 + ... + 140645355.

It is an arithmetic number, because the mean of its divisors is an integer number (29806092288).

Almost surely, 21242000141140 is an apocalyptic number.

1242000141140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242000141140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430692429824).

1242000141140 is an abundant number, since it is smaller than the sum of its proper divisors (1619384718508).

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

1242000141140 is a wasteful number, since it uses less digits than its factorization.

1242000141140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12389 (or 12387 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 1242000141140 its reverse (411410002421), we get a palindrome (1653410143561).

The spelling of 1242000141140 in words is "one trillion, two hundred forty-two billion, one hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 191 220 382 764 955 1910 2101 3347 3820 4202 6694 8404 8831 10505 13388 16735 17662 21010 33470 35324 36817 42020 44155 66940 73634 88310 97141 147268 176620 184085 194282 368170 388564 485705 639277 736340 971410 1278554 1686721 1942820 2557108 3196385 3373442 6392770 6746884 7032047 8433605 12785540 14064094 16867210 18553931 28128188 29557357 33734420 35160235 37107862 59114714 70320470 74215724 92769655 118229428 140640940 147786785 185539310 295573570 325130927 371078620 591147140 650261854 1300523708 1625654635 3251309270 5645455187 6502618540 11290910374 22581820748 28227275935 56454551870 62100007057 112909103740 124200014114 248400028228 310500035285 621000070570 1242000141140