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142312340340 = 22335892961139
BaseRepresentation
bin1000010010001001111…
…0011111101101110100
3111121022222202221101000
42010202132133231310
54312423424342330
6145213303203300
713165426635222
oct2044236375564
9447288687330
10142312340340
1155399673715
12236b8146530
131055c968011
146c6078db12
153a7dc2e560
hex212279fb74

142312340340 has 96 divisors (see below), whose sum is σ = 447724368000. Its totient is φ = 37523540736.

The previous prime is 142312340273. The next prime is 142312340369. The reversal of 142312340340 is 43043213241.

142312340340 is a `hidden beast` number, since 1 + 4 + 2 + 312 + 3 + 4 + 0 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1432510 + ... + 1528629.

It is an arithmetic number, because the mean of its divisors is an integer number (4663795500).

Almost surely, 2142312340340 is an apocalyptic number.

142312340340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142312340340 is an abundant number, since it is smaller than the sum of its proper divisors (305412027660).

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

142312340340 is a wasteful number, since it uses less digits than its factorization.

142312340340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961246 (or 2961238 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 142312340340 its reverse (43043213241), we get a palindrome (185355553581).

The spelling of 142312340340 in words is "one hundred forty-two billion, three hundred twelve million, three hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 89 90 108 135 178 180 267 270 356 445 534 540 801 890 1068 1335 1602 1780 2403 2670 3204 4005 4806 5340 8010 9612 12015 16020 24030 48060 2961139 5922278 8883417 11844556 14805695 17766834 26650251 29611390 35533668 44417085 53300502 59222780 79950753 88834170 106601004 133251255 159901506 177668340 263541371 266502510 319803012 399753765 527082742 533005020 790624113 799507530 1054165484 1317706855 1581248226 1599015060 2371872339 2635413710 3162496452 3953120565 4743744678 5270827420 7115617017 7906241130 9487489356 11859361695 14231234034 15812482260 23718723390 28462468068 35578085085 47437446780 71156170170 142312340340