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2151435042 = 2322353711381
BaseRepresentation
bin1000000000111100…
…0100101100100010
312112221022020001100
42000033010230202
513401231410132
6553252415230
7104212616241
oct20017045442
95487266040
102151435042
11a04479a99
12500617516
132839594b3
14165a38958
15c8d2737c
hex803c4b22

2151435042 has 96 divisors (see below), whose sum is σ = 5029330176. Its totient is φ = 663062400.

The previous prime is 2151435031. The next prime is 2151435053. The reversal of 2151435042 is 2405341512.

2151435042 is a `hidden beast` number, since 2 + 15 + 143 + 504 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2151435031) and next prime (2151435053).

It is a junction number, because it is equal to n+sod(n) for n = 2151434997 and 2151435015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1557192 + ... + 1558572.

It is an arithmetic number, because the mean of its divisors is an integer number (52388856).

Almost surely, 22151435042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2151435042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514665088).

2151435042 is an abundant number, since it is smaller than the sum of its proper divisors (2877895134).

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

2151435042 is a wasteful number, since it uses less digits than its factorization.

2151435042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2151435042 is about 46383.5643520418. The cubic root of 2151435042 is about 1290.9499726916.

Adding to 2151435042 its reverse (2405341512), we get a palindrome (4556776554).

The spelling of 2151435042 in words is "two billion, one hundred fifty-one million, four hundred thirty-five thousand, forty-two".

Divisors: 1 2 3 6 9 18 23 46 53 69 71 106 138 142 159 207 213 318 414 426 477 639 954 1219 1278 1381 1633 2438 2762 3266 3657 3763 4143 4899 7314 7526 8286 9798 10971 11289 12429 14697 21942 22578 24858 29394 31763 33867 63526 67734 73193 86549 95289 98051 146386 173098 190578 196102 219579 259647 285867 294153 439158 519294 571734 588306 658737 778941 882459 1317474 1557882 1683439 1764918 2255173 3366878 4510346 5050317 5196703 6765519 10100634 10393406 13531038 15150951 15590109 20296557 30301902 31180218 40593114 46770327 93540654 119524169 239048338 358572507 717145014 1075717521 2151435042