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30142421344 = 2572112917027
BaseRepresentation
bin11100000100101000…
…001101100101100000
32212210200021122201201
4130010220031211200
5443212424440334
621503000410544
72114646232300
oct340450154540
985720248651
1030142421344
111186867a322
125a12776a54
132ac4a3c599
14165d31d600
15bb63acc14
hex704a0d960

30142421344 has 72 divisors (see below), whose sum is σ = 69096729240. Its totient is φ = 12905980416.

The previous prime is 30142421317. The next prime is 30142421371. The reversal of 30142421344 is 44312424103.

It is an interprime number because it is at equal distance from previous prime (30142421317) and next prime (30142421371).

It is a Harshad number since it is a multiple of its sum of digits (28).

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 11 ways as a sum of consecutive naturals, for example, 1761759 + ... + 1778785.

It is an arithmetic number, because the mean of its divisors is an integer number (959676795).

Almost surely, 230142421344 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 30142421344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34548364620).

30142421344 is an abundant number, since it is smaller than the sum of its proper divisors (38954307896).

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

30142421344 is a wasteful number, since it uses less digits than its factorization.

30142421344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18180 (or 18165 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 30142421344 its reverse (44312424103), we get a palindrome (74454845447).

The spelling of 30142421344 in words is "thirty billion, one hundred forty-two million, four hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1129 1568 2258 4516 7903 9032 15806 17027 18064 31612 34054 36128 55321 63224 68108 110642 119189 126448 136216 221284 238378 252896 272432 442568 476756 544864 834323 885136 953512 1668646 1770272 1907024 3337292 3814048 6674584 13349168 19223483 26698336 38446966 76893932 134564381 153787864 269128762 307575728 538257524 615151456 941950667 1076515048 1883901334 2153030096 3767802668 4306060192 7535605336 15071210672 30142421344