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202134024144 = 243213107977577
BaseRepresentation
bin1011110001000000100…
…0000110111111010000
3201022202001211100021200
42330100020012333100
511302432302233034
6232505321351200
720414032566513
oct2742010067720
9638661740250
10202134024144
11787a7429118
1233212338500
13160a4490860
149ad76a6d7a
1553d09aca99
hex2f10206fd0

202134024144 has 60 divisors (see below), whose sum is σ = 609209495076. Its totient is φ = 62195083776.

The previous prime is 202134024133. The next prime is 202134024149. The reversal of 202134024144 is 441420431202.

202134024144 is a `hidden beast` number, since 2 + 0 + 213 + 402 + 4 + 1 + 44 = 666.

202134024144 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 67527219600 + 134606804544 = 259860^2 + 366888^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202134024149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53986917 + ... + 53990660.

Almost surely, 2202134024144 is an apocalyptic number.

202134024144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

202134024144 is an abundant number, since it is smaller than the sum of its proper divisors (407075470932).

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

202134024144 is a wasteful number, since it uses less digits than its factorization.

202134024144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107977604 (or 107977595 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 202134024144 its reverse (441420431202), we get a palindrome (643554455346).

The spelling of 202134024144 in words is "two hundred two billion, one hundred thirty-four million, twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 107977577 215955154 323932731 431910308 647865462 863820616 971798193 1295730924 1403708501 1727641232 1943596386 2591461848 2807417002 3887192772 4211125503 5182923696 5614834004 7774385544 8422251006 11229668008 12633376509 15548771088 16844502012 22459336016 25266753018 33689004024 50533506036 67378008048 101067012072 202134024144