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142213000314 = 23711307820347
BaseRepresentation
bin1000010001110010001…
…1100010110001111010
3111121002001211221110210
42010130203202301322
54312223012002224
6145155354051550
713163112362160
oct2043443426172
9447061757423
10142213000314
1155348593020
122368aa19bb6
13105451c5a38
146c514d1230
153a7515a429
hex211c8e2c7a

142213000314 has 32 divisors (see below), whose sum is σ = 354609040896. Its totient is φ = 36938441520.

The previous prime is 142213000313. The next prime is 142213000337. The reversal of 142213000314 is 413000312241.

It is a super-3 number, since 3×1422130003143 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (142213000313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153909712 + ... + 153910635.

It is an arithmetic number, because the mean of its divisors is an integer number (11081532528).

Almost surely, 2142213000314 is an apocalyptic number.

142213000314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

142213000314 is an abundant number, since it is smaller than the sum of its proper divisors (212396040582).

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

142213000314 is a wasteful number, since it uses less digits than its factorization.

142213000314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307820370.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 142213000314 its reverse (413000312241), we get a palindrome (555213312555).

The spelling of 142213000314 in words is "one hundred forty-two billion, two hundred thirteen million, three hundred fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 307820347 615640694 923461041 1846922082 2154742429 3386023817 4309484858 6464227287 6772047634 10158071451 12928454574 20316142902 23702166719 47404333438 71106500157 142213000314