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142202314400 = 2552177752893
BaseRepresentation
bin1000010001101111101…
…0110001111010100000
3111121001022202001011012
42010123322301322200
54312212243030100
6145154333040052
713162622504666
oct2043372617240
9447038661135
10142202314400
1155342554593
1223687326028
1310542c23c03
146c4dd0cc36
153a74249135
hex211beb1ea0

142202314400 has 36 divisors (see below), whose sum is σ = 347151401982. Its totient is φ = 56880925440.

The previous prime is 142202314399. The next prime is 142202314409. The reversal of 142202314400 is 4413202241.

It can be written as a sum of positive squares in 3 ways, for example, as 71120355856 + 71081958544 = 266684^2 + 266612^2 .

It is not an unprimeable number, because it can be changed into a prime (142202314409) 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, 88875647 + ... + 88877246.

Almost surely, 2142202314400 is an apocalyptic number.

142202314400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142202314400 is an abundant number, since it is smaller than the sum of its proper divisors (204949087582).

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

142202314400 is a wasteful number, since it uses less digits than its factorization.

142202314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177752913 (or 177752900 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 142202314400 its reverse (4413202241), we get a palindrome (146615516641).

The spelling of 142202314400 in words is "one hundred forty-two billion, two hundred two million, three hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 177752893 355505786 711011572 888764465 1422023144 1777528930 2844046288 3555057860 4443822325 5688092576 7110115720 8887644650 14220231440 17775289300 28440462880 35550578600 71101157200 142202314400