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30142400022 = 2337677117787
BaseRepresentation
bin11100000100101000…
…001000011000010110
32212210200020120111000
4130010220020120112
5443212423300042
621503000124130
72114646113160
oct340450103026
985720216430
1030142400022
11118686652a9
125a12766646
132ac4a32977
14165d315930
15bb63a674c
hex704a08616

30142400022 has 64 divisors (see below), whose sum is σ = 76665853440. Its totient is φ = 8599320288.

The previous prime is 30142400017. The next prime is 30142400023. The reversal of 30142400022 is 22000424103.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30142399968 and 30142400004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30142400023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197013 + ... + 314799.

It is an arithmetic number, because the mean of its divisors is an integer number (1197903960).

Almost surely, 230142400022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30142400022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38332926720).

30142400022 is an abundant number, since it is smaller than the sum of its proper divisors (46523453418).

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

30142400022 is a wasteful number, since it uses less digits than its factorization.

30142400022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118482 (or 118476 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 30142400022 its reverse (22000424103), we get a palindrome (52142824125).

The spelling of 30142400022 in words is "thirty billion, one hundred forty-two million, four hundred thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 677 1354 2031 4062 4739 6093 9478 12186 14217 18279 28434 36558 42651 85302 117787 127953 235574 255906 353361 706722 824509 1060083 1649018 2120166 2473527 3180249 4947054 6360498 7420581 14841162 22261743 44523486 79741799 159483598 239225397 478450794 558192593 717676191 1116385186 1435352382 1674577779 2153028573 3349155558 4306057146 5023733337 10047466674 15071200011 30142400022