Search a number
-
+
142354214520 = 23357198919437
BaseRepresentation
bin1000010010010011111…
…0001110111001111000
3111121102220120100221120
42010210332032321320
54313020134331040
6145221400505240
713166445600330
oct2044476167170
9447386510846
10142354214520
1155410274381
122370a17b220
131056853993b
146c661700c0
153a827517d0
hex2124f8ee78

142354214520 has 128 divisors (see below), whose sum is σ = 513759628800. Its totient is φ = 30825570816.

The previous prime is 142354214477. The next prime is 142354214521. The reversal of 142354214520 is 25412453241.

142354214520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142354214521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4443759 + ... + 4475678.

It is an arithmetic number, because the mean of its divisors is an integer number (4013747100).

Almost surely, 2142354214520 is an apocalyptic number.

142354214520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142354214520 is an abundant number, since it is smaller than the sum of its proper divisors (371405414280).

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

142354214520 is a wasteful number, since it uses less digits than its factorization.

142354214520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8919477 (or 8919473 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 142354214520 its reverse (25412453241), we get a palindrome (167766667761).

The spelling of 142354214520 in words is "one hundred forty-two billion, three hundred fifty-four million, two hundred fourteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 3192 3990 5320 7980 15960 8919437 17838874 26758311 35677748 44597185 53516622 62436059 71355496 89194370 107033244 124872118 133791555 169469303 178388740 187308177 214066488 249744236 267583110 312180295 338938606 356777480 374616354 499488472 508407909 535166220 624360590 677877212 749232708 847346515 936540885 1016815818 1070332440 1186285121 1248721180 1355754424 1498465416 1694693030 1873081770 2033631636 2372570242 2497442360 2542039545 3389386060 3558855363 3746163540 4067263272 4745140484 5084079090 5931425605 6778772120 7117710726 7492327080 9490280968 10168158180 11862851210 14235421452 17794276815 20336316360 23725702420 28470842904 35588553630 47451404840 71177107260 142354214520