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142034200020 = 223253732115493
BaseRepresentation
bin1000010001000111100…
…1011110010111010100
3111120121121101221120200
42010101321132113110
54311341223400040
6145125525500500
713155511531416
oct2042171362724
9446547357520
10142034200020
115526666a789
122363ab71730
1310517151c4b
146c3586a9b6
153a645dc630
hex2111e5e5d4

142034200020 has 72 divisors (see below), whose sum is σ = 431992336776. Its totient is φ = 37774225152.

The previous prime is 142034200019. The next prime is 142034200097. The reversal of 142034200020 is 20002430241.

It can be written as a sum of positive squares in 4 ways, for example, as 8310874896 + 133723325124 = 91164^2 + 365682^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 142034199966 and 142034200002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 990607 + ... + 1124886.

Almost surely, 2142034200020 is an apocalyptic number.

142034200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142034200020 is an abundant number, since it is smaller than the sum of its proper divisors (289958136756).

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

142034200020 is a wasteful number, since it uses less digits than its factorization.

142034200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115881 (or 2115876 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 142034200020 its reverse (20002430241), we get a palindrome (162036630261).

The spelling of 142034200020 in words is "one hundred forty-two billion, thirty-four million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 373 746 1119 1492 1865 2238 3357 3730 4476 5595 6714 7460 11190 13428 16785 22380 33570 67140 2115493 4230986 6346479 8461972 10577465 12692958 19039437 21154930 25385916 31732395 38078874 42309860 63464790 76157748 95197185 126929580 190394370 380788740 789078889 1578157778 2367236667 3156315556 3945394445 4734473334 7101710001 7890788890 9468946668 11836183335 14203420002 15781577780 23672366670 28406840004 35508550005 47344733340 71017100010 142034200020