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1144020000424 = 237137149116267
BaseRepresentation
bin10000101001011100111…
…001111101111010101000
311001100220201110111002211
4100221130321331322220
5122220423110003144
62233315554534504
7145436611362130
oct20513471757250
94040821414084
101144020000424
114011a3513934
12165875b97434
1383b5a9628c2
143d529913ac0
151eb5a35e034
hex10a5ce7dea8

1144020000424 has 32 divisors (see below), whose sum is σ = 2469365398080. Its totient is φ = 486715492224.

The previous prime is 1144020000419. The next prime is 1144020000443. The reversal of 1144020000424 is 4240000204411.

It is a super-2 number, since 2×11440200004242 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1144020000395 and 1144020000404.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74550462 + ... + 74565805.

It is an arithmetic number, because the mean of its divisors is an integer number (77167668690).

Almost surely, 21144020000424 is an apocalyptic number.

1144020000424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1144020000424 is an abundant number, since it is smaller than the sum of its proper divisors (1325345397656).

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

1144020000424 is a wasteful number, since it uses less digits than its factorization.

1144020000424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149116417 (or 149116413 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 1144020000424 its reverse (4240000204411), we get a palindrome (5384020204835).

The spelling of 1144020000424 in words is "one trillion, one hundred forty-four billion, twenty million, four hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 28 56 137 274 548 959 1096 1918 3836 7672 149116267 298232534 596465068 1043813869 1192930136 2087627738 4175255476 8350510952 20428928579 40857857158 81715714316 143002500053 163431428632 286005000106 572010000212 1144020000424