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142315122432 = 283726472307
BaseRepresentation
bin1000010010001010100…
…1000110111100000000
3111121100012000021200110
42010202221012330000
54312430132404212
6145213442551320
713165462403250
oct2044251067400
9447305007613
10142315122432
11553a01a396a
12236b9068540
1310560400422
146c60cb5960
153a7e0cda3c
hex2122a46f00

142315122432 has 72 divisors (see below), whose sum is σ = 432875180416. Its totient is φ = 40661462016.

The previous prime is 142315122401. The next prime is 142315122487. The reversal of 142315122432 is 234221513241.

It is a happy number.

142315122432 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 142315122432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13230778 + ... + 13241529.

Almost surely, 2142315122432 is an apocalyptic number.

142315122432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142315122432 is an abundant number, since it is smaller than the sum of its proper divisors (290560057984).

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

142315122432 is an equidigital number, since it uses as much as digits as its factorization.

142315122432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26472333 (or 26472319 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

Adding to 142315122432 its reverse (234221513241), we get a palindrome (376536635673).

The spelling of 142315122432 in words is "one hundred forty-two billion, three hundred fifteen million, one hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 26472307 52944614 79416921 105889228 158833842 185306149 211778456 317667684 370612298 423556912 555918447 635335368 741224596 847113824 1111836894 1270670736 1482449192 1694227648 2223673788 2541341472 2964898384 3388455296 4447347576 5082682944 5929796768 6776910592 8894695152 10165365888 11859593536 17789390304 20330731776 23719187072 35578780608 47438374144 71157561216 142315122432