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142011234323240 = 23550928081248389
BaseRepresentation
bin100000010010100010010001…
…001011010000101100101000
3200121211010211002110010212012
4200102202101023100230220
5122103203001441320430
61222011021014335052
741624654526000122
oct4022422113205450
9617733732403765
10142011234323240
1141281698606397
1213b1688b05a488
1361317a95b33c9
14270d547c06212
1511640888e2695
hex8128912d0b28

142011234323240 has 64 divisors (see below), whose sum is σ = 320165718282000. Its totient is φ = 56690646405120.

The previous prime is 142011234323237. The next prime is 142011234323249. The reversal of 142011234323240 is 42323432110241.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 104041754407396 + 37969479915844 = 10200086^2 + 6161938^2 .

It is a junction number, because it is equal to n+sod(n) for n = 142011234323197 and 142011234323206.

It is not an unprimeable number, because it can be changed into a prime (142011234323249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571604966 + ... + 571853354.

Almost surely, 2142011234323240 is an apocalyptic number.

142011234323240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142011234323240 is an abundant number, since it is smaller than the sum of its proper divisors (178154483958760).

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

142011234323240 is a wasteful number, since it uses less digits than its factorization.

142011234323240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276990 (or 276986 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 142011234323240 its reverse (42323432110241), we get a palindrome (184334666433481).

The spelling of 142011234323240 in words is "one hundred forty-two trillion, eleven billion, two hundred thirty-four million, three hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 509 1018 2036 2545 4072 5090 10180 20360 28081 56162 112324 140405 224648 248389 280810 496778 561620 993556 1123240 1241945 1987112 2483890 4967780 9935560 14293229 28586458 57172916 71466145 114345832 126430001 142932290 252860002 285864580 505720004 571729160 632150005 1011440008 1264300010 2528600020 5057200040 6975011509 13950023018 27900046036 34875057545 55800092072 69750115090 139500230180 279000460360 3550280858081 7100561716162 14201123432324 17751404290405 28402246864648 35502808580810 71005617161620 142011234323240