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30214414320 = 2435467269579
BaseRepresentation
bin11100001000111010…
…110101111111110000
32212222200202021112020
4130020322311333300
5443334342224240
621514051431440
72116512166326
oct341072657760
985880667466
1030214414320
11118a5281752
125a328b5580
132b0692828c
141668addd16
15bbc87e0d0
hex708eb5ff0

30214414320 has 80 divisors (see below), whose sum is σ = 93865599360. Its totient is φ = 8039894272.

The previous prime is 30214414291. The next prime is 30214414333. The reversal of 30214414320 is 2341441203.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22710 + ... + 246869.

It is an arithmetic number, because the mean of its divisors is an integer number (1173319992).

Almost surely, 230214414320 is an apocalyptic number.

30214414320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30214414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46932799680).

30214414320 is an abundant number, since it is smaller than the sum of its proper divisors (63651185040).

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

30214414320 is a wasteful number, since it uses less digits than its factorization.

30214414320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270062 (or 270056 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 30214414320 its reverse (2341441203), we get a palindrome (32555855523).

The spelling of 30214414320 in words is "thirty billion, two hundred fourteen million, four hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 467 934 1401 1868 2335 2802 3736 4670 5604 7005 7472 9340 11208 14010 18680 22416 28020 37360 56040 112080 269579 539158 808737 1078316 1347895 1617474 2156632 2695790 3234948 4043685 4313264 5391580 6469896 8087370 10783160 12939792 16174740 21566320 32349480 64698960 125893393 251786786 377680179 503573572 629466965 755360358 1007147144 1258933930 1510720716 1888400895 2014294288 2517867860 3021441432 3776801790 5035735720 6042882864 7553603580 10071471440 15107207160 30214414320