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334142213004300 = 223527315257635297
BaseRepresentation
bin100101111111001101000101…
…1111010010001110000001100
31121211002200110100012012012210
41023332122023322101300030
5322244041223012114200
63142354451415430420
7130244656350602331
oct11376321372216014
91554080410165183
10334142213004300
1197516a0a198158
1231586bbb085410
131145a62483727c
145c727d8614988
152896c1474e650
hex12fe68be91c0c

334142213004300 has 72 divisors (see below), whose sum is σ = 980028430461136. Its totient is φ = 87883979304960.

The previous prime is 334142213004287. The next prime is 334142213004349. The reversal of 334142213004300 is 3400312241433.

It is a happy number.

It is a super-2 number, since 2×3341422130043002 (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7628795749 + ... + 7628839548.

Almost surely, 2334142213004300 is an apocalyptic number.

334142213004300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334142213004300 is an abundant number, since it is smaller than the sum of its proper divisors (645886217456836).

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

334142213004300 is a wasteful number, since it uses less digits than its factorization.

334142213004300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15257635387 (or 15257635380 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 334142213004300 its reverse (3400312241433), we get a palindrome (337542525245733).

The spelling of 334142213004300 in words is "three hundred thirty-four trillion, one hundred forty-two billion, two hundred thirteen million, four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 146 150 219 292 300 365 438 730 876 1095 1460 1825 2190 3650 4380 5475 7300 10950 21900 15257635297 30515270594 45772905891 61030541188 76288176485 91545811782 152576352970 183091623564 228864529455 305152705940 381440882425 457729058910 762881764850 915458117820 1113807376681 1144322647275 1525763529700 2227614753362 2288645294550 3341422130043 4455229506724 4577290589100 5569036883405 6682844260086 11138073766810 13365688520172 16707110650215 22276147533620 27845184417025 33414221300430 55690368834050 66828442600860 83535553251075 111380737668100 167071106502150 334142213004300