Search a number
142522516441416 = 233193673533241051
BaseRepresentation
bin100000011001111110011011…
…111101110000100101001000
3200200122000112012221211201110
4200121332123331300211020
5122140042103202111131
61223041535024450320
742006624551204346
oct4031763375604510
9620560465854643
10142522516441416
1141459506a821a1
1213b9999a4799a0
13616aa7ac35347
14272a1ab576996
15117250ec40646
hex819f9bf70948

142522516441416 has 128 divisors (see below), whose sum is σ = 376189222348800. Its totient is φ = 44871584774400.

The previous prime is 142522516441391. The next prime is 142522516441441. The reversal of 142522516441416 is 614144615225241.

142522516441416 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (142522516441391) and next prime (142522516441441).

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, 591134091 + ... + 591375141.

It is an arithmetic number, because the mean of its divisors is an integer number (2938978299600).

Almost surely, 2142522516441416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142522516441416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188094611174400).

142522516441416 is an abundant number, since it is smaller than the sum of its proper divisors (233666705907384).

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

142522516441416 is a wasteful number, since it uses less digits than its factorization.

142522516441416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244979 (or 244975 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 48.

The spelling of 142522516441416 in words is "one hundred forty-two trillion, five hundred twenty-two billion, five hundred sixteen million, four hundred forty-one thousand, four hundred sixteen".