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12033040114140 = 22351671783673529
BaseRepresentation
bin1010111100011010100100…
…0101001110000111011100
31120121100101020212210202120
42233012221011032013130
53034122131232123030
641331522522222540
72351233644235623
oct257065105160734
946540336783676
1012033040114140
11391a202497661
121424100954a50
13693931872996
142d858bab26ba
1515d0188b4010
hexaf1a914e1dc

12033040114140 has 96 divisors (see below), whose sum is σ = 33913323924480. Its totient is φ = 3187802635776.

The previous prime is 12033040114133. The next prime is 12033040114159. The reversal of 12033040114140 is 4141104033021.

12033040114140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12033040114140.

It is a congruent number.

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, 17528896 + ... + 18202424.

It is an arithmetic number, because the mean of its divisors is an integer number (353263790880).

Almost surely, 212033040114140 is an apocalyptic number.

12033040114140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12033040114140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16956661962240).

12033040114140 is an abundant number, since it is smaller than the sum of its proper divisors (21880283810340).

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

12033040114140 is a wasteful number, since it uses less digits than its factorization.

12033040114140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675491 (or 675489 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12033040114140 its reverse (4141104033021), we get a palindrome (16174144147161).

The spelling of 12033040114140 in words is "twelve trillion, thirty-three billion, forty million, one hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 334 501 668 835 1002 1670 1783 2004 2505 3340 3566 5010 5349 7132 8915 10020 10698 17830 21396 26745 35660 53490 106980 297761 595522 673529 893283 1191044 1347058 1488805 1786566 2020587 2694116 2977610 3367645 3573132 4041174 4466415 5955220 6735290 8082348 8932830 10102935 13470580 17865660 20205870 40411740 112479343 224958686 337438029 449917372 562396715 674876058 1124793430 1200902207 1349752116 1687190145 2249586860 2401804414 3374380290 3602706621 4803608828 6004511035 6748760580 7205413242 12009022070 14410826484 18013533105 24018044140 36027066210 72054132420 200550668569 401101337138 601652005707 802202674276 1002753342845 1203304011414 2005506685690 2406608022828 3008260028535 4011013371380 6016520057070 12033040114140