Search a number
-
+
114524142302010 = 23572323711002547
BaseRepresentation
bin11010000010100010111010…
…110100011111001100111010
3120000111101211101110012122110
4122002202322310133030322
5110002330420412131020
61043323355322233150
733060045002551440
oct3202427264371472
9500441741405573
10114524142302010
1133544463767071
1210a176676557b6
134bb9770b4905c
14203cdd8982b90
15d39080a508e0
hex6828bad1f33a

114524142302010 has 64 divisors (see below), whose sum is σ = 327780899223552. Its totient is φ = 25038818688576.

The previous prime is 114524142301981. The next prime is 114524142302029. The reversal of 114524142302010 is 10203241425411.

It is a super-2 number, since 2×1145241423020102 (a number of 29 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 31 ways as a sum of consecutive naturals, for example, 11855496444 + ... + 11855506103.

It is an arithmetic number, because the mean of its divisors is an integer number (5121576550368).

Almost surely, 2114524142302010 is an apocalyptic number.

114524142302010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114524142302010 is an abundant number, since it is smaller than the sum of its proper divisors (213256756921542).

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

114524142302010 is a wasteful number, since it uses less digits than its factorization.

114524142302010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23711002587.

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 114524142302010 its reverse (10203241425411), we get a palindrome (124727383727421).

The spelling of 114524142302010 in words is "one hundred fourteen trillion, five hundred twenty-four billion, one hundred forty-two million, three hundred two thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 210 230 322 345 483 690 805 966 1610 2415 4830 23711002547 47422005094 71133007641 118555012735 142266015282 165977017829 237110025470 331954035658 355665038205 497931053487 545353058581 711330076410 829885089145 995862106974 1090706117162 1636059175743 1659770178290 2489655267435 2726765292905 3272118351486 3817471410067 4979310534870 5453530585810 7634942820134 8180295878715 11452414230201 16360591757430 19087357050335 22904828460402 38174714100670 57262071151005 114524142302010