Search a number
-
+
120214340340444 = 22357171039305083
BaseRepresentation
bin11011010101010110010101…
…000011011000101011011100
3120202122101020001221111100000
4123111112111003120223130
5111224042432111343234
61103401412222134300
734215125264052660
oct3325262503305334
9522571201844300
10120214340340444
1135338685160439
1211596417421390
13521021870b29c
1421985958dc8a0
15dd70b6a39899
hex6d55950d8adc

120214340340444 has 144 divisors (see below), whose sum is σ = 381333506980608. Its totient is φ = 32326545270528.

The previous prime is 120214340340431. The next prime is 120214340340467. The reversal of 120214340340444 is 444043043412021.

120214340340444 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 143 + 40 + 34 + 0 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 120214340340399 and 120214340340408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519536874 + ... + 519768209.

It is an arithmetic number, because the mean of its divisors is an integer number (2648149354032).

Almost surely, 2120214340340444 is an apocalyptic number.

120214340340444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

120214340340444 is an abundant number, since it is smaller than the sum of its proper divisors (261119166640164).

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

120214340340444 is a wasteful number, since it uses less digits than its factorization.

120214340340444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039305126 (or 1039305112 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 120214340340444 its reverse (444043043412021), we get a palindrome (564257383752465).

The spelling of 120214340340444 in words is "one hundred twenty trillion, two hundred fourteen billion, three hundred forty million, three hundred forty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 81 84 102 108 119 126 153 162 189 204 238 243 252 306 324 357 378 459 476 486 567 612 714 756 918 972 1071 1134 1377 1428 1701 1836 2142 2268 2754 3213 3402 4131 4284 5508 6426 6804 8262 9639 12852 16524 19278 28917 38556 57834 115668 1039305083 2078610166 3117915249 4157220332 6235830498 7275135581 9353745747 12471660996 14550271162 17668186411 18707491494 21825406743 28061237241 29100542324 35336372822 37414982988 43650813486 53004559233 56122474482 65476220229 70672745644 84183711723 87301626972 106009118466 112244948964 123677304877 130952440458 159013677699 168367423446 196428660687 212018236932 247354609754 252551135169 261904880916 318027355398 336734846892 371031914631 392857321374 477041033097 494709219508 505102270338 589285982061 636054710796 742063829262 785714642748 954082066194 1010204540676 1113095743893 1178571964122 1431123099291 1484127658524 1767857946183 1908164132388 2226191487786 2357143928244 2862246198582 3339287231679 3535715892366 4293369297873 4452382975572 5724492397164 6678574463358 7071431784732 8586738595746 10017861695037 13357148926716 17173477191492 20035723390074 30053585085111 40071446780148 60107170170222 120214340340444