Search a number
-
+
114104113510332 = 223113143648480947
BaseRepresentation
bin11001111100011011101111…
…001001110011011110111100
3112222000020122212011210122110
4121330123233021303132330
5104423440211024312312
61042402412303414020
733014515205666661
oct3174335711633674
9488006585153573
10114104113510332
11333a2312430080
121096a1848b4310
134b88c82b920ba
142026950761a68
15d2d19ab0043c
hex67c6ef2737bc

114104113510332 has 96 divisors (see below), whose sum is σ = 306788554727424. Its totient is φ = 32683439678400.

The previous prime is 114104113510271. The next prime is 114104113510337. The reversal of 114104113510332 is 233015311401411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 114104113510332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114104113510337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324064518 + ... + 324416429.

It is an arithmetic number, because the mean of its divisors is an integer number (3195714111744).

Almost surely, 2114104113510332 is an apocalyptic number.

114104113510332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114104113510332 is an abundant number, since it is smaller than the sum of its proper divisors (192684441217092).

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

114104113510332 is a wasteful number, since it uses less digits than its factorization.

114104113510332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648481039 (or 648481037 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 114104113510332 its reverse (233015311401411), we get a palindrome (347119424911743).

The spelling of 114104113510332 in words is "one hundred fourteen trillion, one hundred four billion, one hundred thirteen million, five hundred ten thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 43 44 62 66 86 93 124 129 132 172 186 258 341 372 473 516 682 946 1023 1333 1364 1419 1892 2046 2666 2838 3999 4092 5332 5676 7998 14663 15996 29326 43989 58652 87978 175956 648480947 1296961894 1945442841 2593923788 3890885682 7133290417 7781771364 14266580834 20102909357 21399871251 27884680721 28533161668 40205818714 42799742502 55769361442 60308728071 80411637428 83654042163 85599485004 111538722884 120617456142 167308084326 221132002927 241234912284 306731487931 334616168652 442264005854 613462975862 663396008781 864425102351 884528011708 920194463793 1226925951724 1326792017562 1728850204702 1840388927586 2593275307053 2653584035124 3457700409404 3680777855172 5186550614106 9508676125861 10373101228212 19017352251722 28526028377583 38034704503444 57052056755166 114104113510332