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5320401113142 = 2321923177093643
BaseRepresentation
bin100110101101100000010…
…0111100101000000110110
3200211121212220100002012100
41031123000213211000312
51144132140141110032
615152054124202530
71056246333200463
oct115330047450066
920747786302170
105320401113142
1117714077a9045
1271b167699446
132c793370b94b
1414571a18466a
15935e0e7e97c
hex4d6c09e5036

5320401113142 has 144 divisors (see below), whose sum is σ = 12225128132880. Its totient is φ = 1672005255552.

The previous prime is 5320401113099. The next prime is 5320401113147. The reversal of 5320401113142 is 2413111040235.

5320401113142 is a `hidden beast` number, since 5 + 3 + 2 + 0 + 401 + 113 + 142 = 666.

It is a super-2 number, since 2×53204011131422 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5320401113147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1460443173 + ... + 1460446815.

It is an arithmetic number, because the mean of its divisors is an integer number (84896723145).

Almost surely, 25320401113142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5320401113142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6112564066440).

5320401113142 is an abundant number, since it is smaller than the sum of its proper divisors (6904727019738).

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

5320401113142 is a wasteful number, since it uses less digits than its factorization.

5320401113142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4715 (or 4693 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 5320401113142 its reverse (2413111040235), we get a palindrome (7733512153377).

The spelling of 5320401113142 in words is "five trillion, three hundred twenty billion, four hundred one million, one hundred thirteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 317 342 361 634 709 722 951 1083 1418 1902 2127 2166 2853 3249 3643 4254 5706 6023 6381 6498 7286 10929 12046 12762 13471 18069 21858 26942 32787 36138 40413 54207 65574 69217 80826 108414 114437 121239 138434 207651 224753 228874 242478 255949 343311 415302 449506 511898 622953 674259 686622 767847 1029933 1154831 1245906 1315123 1348518 1535694 2022777 2059866 2303541 2309662 2582887 2630246 3464493 3945369 4045554 4270307 4607082 5165774 6928986 7748661 7890738 8540614 10393479 11836107 12810921 15497322 20786958 21941789 23245983 23672214 25621842 38432763 43883578 46491966 49074853 65825367 76865526 81135833 98149706 131650734 147224559 162271666 197476101 243407499 294449118 394952202 416893991 441673677 486814998 730222497 818775179 833787982 883347354 932422207 1250681973 1460444994 1637550358 1864844414 2456325537 2501363946 2797266621 3752045919 4912651074 5594533242 7368976611 7504091838 8391799863 14737953222 15556728401 16783599726 31113456802 46670185203 93340370406 140010555609 280021111218 295577839619 591155679238 886733518857 1773467037714 2660200556571 5320401113142