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30420016016 = 24132320273137
BaseRepresentation
bin11100010101001011…
…001001101110010000
32220112000121221000212
4130111023021232100
5444300011003031
621550314303252
72124556604225
oct342513115620
986460557025
1030420016016
11119a0340305
125a8b727b28
132b3a3c41a0
14168813d94c
15bd094312b
hex7152c9b90

30420016016 has 80 divisors (see below), whose sum is σ = 66286007424. Its totient is φ = 13418668032.

The previous prime is 30420016013. The next prime is 30420016021. The reversal of 30420016016 is 61061002403.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 30420015982 and 30420016000.

It is not an unprimeable number, because it can be changed into a prime (30420016013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9695600 + ... + 9698736.

Almost surely, 230420016016 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 30420016016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33143003712).

30420016016 is an abundant number, since it is smaller than the sum of its proper divisors (35865991408).

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

30420016016 is a wasteful number, since it uses less digits than its factorization.

30420016016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5208 (or 5202 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 30420016016 its reverse (61061002403), we get a palindrome (91481018419).

The spelling of 30420016016 in words is "thirty billion, four hundred twenty million, sixteen thousand, sixteen".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 598 1196 2027 2392 3137 4054 4784 6274 8108 12548 16216 25096 26351 32432 40781 46621 50192 52702 72151 81562 93242 105404 144302 163124 186484 210808 288604 326248 372968 421616 577208 606073 652496 745936 937963 1154416 1212146 1875926 2424292 3751852 4848584 6358699 7503704 9697168 12717398 15007408 25434796 50869592 82663087 101739184 146250077 165326174 292500154 330652348 585000308 661304696 1170000616 1322609392 1901251001 2340001232 3802502002 7605004004 15210008008 30420016016