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40055054202144 = 2532139080049313
BaseRepresentation
bin10010001101110000010110…
…10001101111010100100000
312020211020002121010020212100
421012320023101233110200
520222230222333432034
6221105012102530400
711302611404042502
oct1106701321572440
9166736077106770
1040055054202144
1111843286955a93
1245aab30736a00
131947238493037
149c6964179d72
15496dcd173099
hex246e0b46f520

40055054202144 has 36 divisors (see below), whose sum is σ = 113906560388166. Its totient is φ = 13351684733952.

The previous prime is 40055054202143. The next prime is 40055054202157. The reversal of 40055054202144 is 44120245055004.

40055054202144 is a `hidden beast` number, since 4 + 0 + 0 + 5 + 50 + 542 + 0 + 21 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37168385241744 + 2886668960400 = 6096588^2 + 1699020^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40055054202099 and 40055054202108.

It is not an unprimeable number, because it can be changed into a prime (40055054202143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69540024369 + ... + 69540024944.

Almost surely, 240055054202144 is an apocalyptic number.

It is an amenable number.

40055054202144 is an abundant number, since it is smaller than the sum of its proper divisors (73851506186022).

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

40055054202144 is a wasteful number, since it uses less digits than its factorization.

40055054202144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139080049329 (or 139080049318 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 40055054202144 its reverse (44120245055004), we get a palindrome (84175299257148).

The spelling of 40055054202144 in words is "forty trillion, fifty-five billion, fifty-four million, two hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 139080049313 278160098626 417240147939 556320197252 834480295878 1112640394504 1251720443817 1668960591756 2225280789008 2503440887634 3337921183512 4450561578016 5006881775268 6675842367024 10013763550536 13351684734048 20027527101072 40055054202144