Search a number
-
+
140224233314032 = 2471819281745301
BaseRepresentation
bin11111111000100001111111…
…100111011001011011110000
3200101111022020220210010110221
4133320201333213121123300
5121334413212212022112
61214122042401102424
741351603136021310
oct3770417747313360
9611438226703427
10140224233314032
11407528440819aa
1213888490027a14
13603211c47873a
14268ac639bd440
15113284a18be07
hex7f887f9d96f0

140224233314032 has 80 divisors (see below), whose sum is σ = 312246025850304. Its totient is φ = 59757557760000.

The previous prime is 140224233313993. The next prime is 140224233314069. The reversal of 140224233314032 is 230413332422041.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187771782 + ... + 188517082.

Almost surely, 2140224233314032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140224233314032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156123012925152).

140224233314032 is an abundant number, since it is smaller than the sum of its proper divisors (172021792536272).

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

140224233314032 is a wasteful number, since it uses less digits than its factorization.

140224233314032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754778 (or 754772 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 140224233314032 its reverse (230413332422041), we get a palindrome (370637565736073).

The spelling of 140224233314032 in words is "one hundred forty trillion, two hundred twenty-four billion, two hundred thirty-three million, three hundred fourteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 181 362 724 1267 1448 2534 2896 5068 9281 10136 18562 20272 37124 64967 74248 129934 148496 259868 519736 745301 1039472 1490602 1679861 2981204 3359722 5217107 5962408 6719444 10434214 11759027 11924816 13438888 20868428 23518054 26877776 41736856 47036108 83473712 94072216 134899481 188144432 269798962 539597924 944296367 1079195848 1888592734 2158391696 3777185468 6917138581 7554370936 13834277162 15108741872 27668554324 48419970067 55337108648 96839940134 110674217296 193679880268 387359760536 774719521072 1252002083161 2504004166322 5008008332644 8764014582127 10016016665288 17528029164254 20032033330576 35056058328508 70112116657016 140224233314032