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214242112031340 = 223510357344762177
BaseRepresentation
bin110000101101101000100000…
…111110111100101001101100
31001002120100100011001112122210
4300231220200332330221230
5211040120321140000330
62035353244553410420
763061324154206641
oct6055504076745154
91032510304045583
10214242112031340
116229a629a63618
1220041681a09a10
139270c38025723
143ac953303ddc8
1519b7de053a8b0
hexc2da20fbca6c

214242112031340 has 48 divisors (see below), whose sum is σ = 599935835473632. Its totient is φ = 57125713514496.

The previous prime is 214242112031317. The next prime is 214242112031357. The reversal of 214242112031340 is 43130211242412.

It is a happy number.

214242112031340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2142421120313402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 214242112031298 and 214242112031307.

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, 171759669 + ... + 173002508.

It is an arithmetic number, because the mean of its divisors is an integer number (12498663239034).

Almost surely, 2214242112031340 is an apocalyptic number.

214242112031340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214242112031340 is an abundant number, since it is smaller than the sum of its proper divisors (385693723442292).

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

214242112031340 is a wasteful number, since it uses less digits than its factorization.

214242112031340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344772546 (or 344772544 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 214242112031340 its reverse (43130211242412), we get a palindrome (257372323273752).

The spelling of 214242112031340 in words is "two hundred fourteen trillion, two hundred forty-two billion, one hundred twelve million, thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 10357 20714 31071 41428 51785 62142 103570 124284 155355 207140 310710 621420 344762177 689524354 1034286531 1379048708 1723810885 2068573062 3447621770 4137146124 5171432655 6895243540 10342865310 20685730620 3570701867189 7141403734378 10712105601567 14282807468756 17853509335945 21424211203134 35707018671890 42848422406268 53560528007835 71414037343780 107121056015670 214242112031340