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142212313040 = 2457972618047
BaseRepresentation
bin1000010001110010000…
…0111010111111010000
3111121002000120000201012
42010130200322333100
54312222323004130
6145155331230052
713163103500360
oct2043440727720
9447060500635
10142212313040
1155348163726
122368a748328
1310545014c75
146c513929a0
153a75071995
hex211c83afd0

142212313040 has 80 divisors (see below), whose sum is σ = 381774231552. Its totient is φ = 48255823872.

The previous prime is 142212313031. The next prime is 142212313049. The reversal of 142212313040 is 40313212241.

It is an interprime number because it is at equal distance from previous prime (142212313031) and next prime (142212313049).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 142212312997 and 142212313015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142212313049) 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, 1254704 + ... + 1363343.

Almost surely, 2142212313040 is an apocalyptic number.

142212313040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142212313040 is an abundant number, since it is smaller than the sum of its proper divisors (239561918512).

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

142212313040 is a wasteful number, since it uses less digits than its factorization.

142212313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618164 (or 2618158 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 142212313040 its reverse (40313212241), we get a palindrome (182525525281).

The spelling of 142212313040 in words is "one hundred forty-two billion, two hundred twelve million, three hundred thirteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 97 112 140 194 280 388 485 560 679 776 970 1358 1552 1940 2716 3395 3880 5432 6790 7760 10864 13580 27160 54320 2618047 5236094 10472188 13090235 18326329 20944376 26180470 36652658 41888752 52360940 73305316 91631645 104721880 146610632 183263290 209443760 253950559 293221264 366526580 507901118 733053160 1015802236 1269752795 1466106320 1777653913 2031604472 2539505590 3555307826 4063208944 5079011180 7110615652 8888269565 10158022360 14221231304 17776539130 20316044720 28442462608 35553078260 71106156520 142212313040