Search a number
-
+
120034344030414 = 231128121313037189
BaseRepresentation
bin11011010010101110101100…
…011011111101000011001110
3120202000011121211010112202220
4123102232230123331003032
5111213120314032433124
61103143003312400210
734166123641501542
oct3322565433750316
9522004554115686
10120034344030414
1135279308a09620
1211567562b46066
1351c9261789468
14218d99c3c3a22
15dd257e80e879
hex6d2bac6fd0ce

120034344030414 has 64 divisors (see below), whose sum is σ = 262948538960640. Its totient is φ = 36227578464000.

The previous prime is 120034344030409. The next prime is 120034344030421. The reversal of 120034344030414 is 414030443430021.

120034344030414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1200343440304142 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38002932 + ... + 41040120.

It is an arithmetic number, because the mean of its divisors is an integer number (4108570921260).

Almost surely, 2120034344030414 is an apocalyptic number.

120034344030414 is an abundant number, since it is smaller than the sum of its proper divisors (142914194930226).

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

120034344030414 is a wasteful number, since it uses less digits than its factorization.

120034344030414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039617.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 120034344030414 its reverse (414030443430021), we get a palindrome (534064787460435).

The spelling of 120034344030414 in words is "one hundred twenty trillion, thirty-four billion, three hundred forty-four million, thirty thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 281 562 843 1686 2131 3091 4262 6182 6393 9273 12786 18546 23441 46882 70323 140646 598811 1197622 1796433 3037189 3592866 6074378 6586921 9111567 13173842 18223134 19760763 33409079 39521526 66818158 100227237 200454474 853450109 1706900218 2560350327 5120700654 6472249759 9387951199 12944499518 18775902398 19416749277 28163853597 38833498554 56327707194 71194747349 142389494698 213584242047 427168484094 1818702182279 3637404364558 5456106546837 10912213093674 20005724005069 40011448010138 60017172015207 120034344030414