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20140422134140 = 225711101129487091
BaseRepresentation
bin1001001010001010011101…
…01101001111100101111100
32122022101221122111000120201
410211011032231033211330
510114440041031243030
6110500214315453244
74146045302330650
oct445051655174574
978271848430521
1020140422134140
116465561264870
122313422757224
13b31306466c39
144d8b31972a60
1524dd72b8e2ca
hex12514eb4f97c

20140422134140 has 96 divisors (see below), whose sum is σ = 53253379404288. Its totient is φ = 6215380320000.

The previous prime is 20140422134089. The next prime is 20140422134201. The reversal of 20140422134140 is 4143122404102.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 20140422134099 and 20140422134108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64588006 + ... + 64899085.

It is an arithmetic number, because the mean of its divisors is an integer number (554722702128).

Almost surely, 220140422134140 is an apocalyptic number.

20140422134140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20140422134140 is an abundant number, since it is smaller than the sum of its proper divisors (33112957270148).

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

20140422134140 is a wasteful number, since it uses less digits than its factorization.

20140422134140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129487219 (or 129487217 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 20140422134140 its reverse (4143122404102), we get a palindrome (24283544538242).

The spelling of 20140422134140 in words is "twenty trillion, one hundred forty billion, four hundred twenty-two million, one hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 101 110 140 154 202 220 308 385 404 505 707 770 1010 1111 1414 1540 2020 2222 2828 3535 4444 5555 7070 7777 11110 14140 15554 22220 31108 38885 77770 155540 129487091 258974182 517948364 647435455 906409637 1294870910 1424358001 1812819274 2589741820 2848716002 3625638548 4532048185 5697432004 7121790005 9064096370 9970506007 13078196191 14243580010 18128192740 19941012014 26156392382 28487160020 39882024028 49852530035 52312784764 65390980955 91547373337 99705060070 130781961910 143860158101 183094746674 199410120140 261563923820 287720316202 366189493348 457736866685 575440632404 719300790505 915473733370 1007021106707 1438601581010 1830947466740 2014042213414 2877203162020 4028084426828 5035105533535 10070211067070 20140422134140