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142212040000 = 265410135201
BaseRepresentation
bin1000010001110001111…
…1111000010101000000
3111121002000001011011121
42010130133320111000
54312222240240000
6145155321322024
713163101252342
oct2043437702500
9447060034147
10142212040000
1155347a97578
122368a636314
1310544c4a8c4
146c51321292
153a7501ab1a
hex211c7f8540

142212040000 has 140 divisors (see below), whose sum is σ = 356141238948. Its totient is φ = 56320000000.

The previous prime is 142212039967. The next prime is 142212040027. The reversal of 142212040000 is 40212241.

It can be written as a sum of positive squares in 10 ways, for example, as 64268334144 + 77943705856 = 253512^2 + 279184^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4022400 + ... + 4057600.

Almost surely, 2142212040000 is an apocalyptic number.

142212040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142212040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178070619474).

142212040000 is an abundant number, since it is smaller than the sum of its proper divisors (213929198948).

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

142212040000 is an equidigital number, since it uses as much as digits as its factorization.

142212040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35334 (or 35309 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 142212040000 its reverse (40212241), we get a palindrome (142252252241).

The spelling of 142212040000 in words is "one hundred forty-two billion, two hundred twelve million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 125 160 200 202 250 320 400 404 500 505 625 800 808 1000 1010 1250 1600 1616 2000 2020 2500 2525 3232 4000 4040 5000 5050 6464 8000 8080 10000 10100 12625 16160 20000 20200 25250 32320 35201 40000 40400 50500 63125 70402 80800 101000 126250 140804 161600 176005 202000 252500 281608 352010 404000 505000 563216 704020 808000 880025 1010000 1126432 1408040 1760050 2020000 2252864 2816080 3520100 3555301 4040000 4400125 5632160 7040200 7110602 8800250 11264320 14080400 14221204 17600500 17776505 22000625 28160800 28442408 35201000 35553010 44001250 56321600 56884816 70402000 71106020 88002500 88882525 113769632 140804000 142212040 176005000 177765050 227539264 281608000 284424080 352010000 355530100 444412625 568848160 704020000 711060200 888825250 1137696320 1408040000 1422120400 1777650500 2222063125 2844240800 3555301000 4444126250 5688481600 7110602000 8888252500 14221204000 17776505000 28442408000 35553010000 71106020000 142212040000