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141636042072 = 2334771439787
BaseRepresentation
bin1000001111101000101…
…0100111110101011000
3111112120212012102120000
42003322022213311120
54310032311321242
6145022223533000
713142605331160
oct2037212476530
9445525172500
10141636042072
1155081942828
122354975a160
1310482806c25
146bd8a255a0
153a3e68ea4c
hex20fa2a7d58

141636042072 has 160 divisors (see below), whose sum is σ = 459771966720. Its totient is φ = 39897385920.

The previous prime is 141636042061. The next prime is 141636042083. The reversal of 141636042072 is 270240636141.

141636042072 is a `hidden beast` number, since 1 + 4 + 163 + 6 + 0 + 420 + 72 = 666.

141636042072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (141636042061) and next prime (141636042083).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 102163 + ... + 541949.

It is an arithmetic number, because the mean of its divisors is an integer number (2873574792).

Almost surely, 2141636042072 is an apocalyptic number.

141636042072 is a gapful number since it is divisible by the number (12) 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 141636042072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229885983360).

141636042072 is an abundant number, since it is smaller than the sum of its proper divisors (318135924648).

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

141636042072 is a wasteful number, since it uses less digits than its factorization.

141636042072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439883 (or 439870 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 141636042072 in words is "one hundred forty-one billion, six hundred thirty-six million, forty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 71 72 81 84 108 126 142 162 168 189 213 216 252 284 324 378 426 497 504 567 568 639 648 756 852 994 1134 1278 1491 1512 1704 1917 1988 2268 2556 2982 3834 3976 4473 4536 5112 5751 5964 7668 8946 11502 11928 13419 15336 17892 23004 26838 35784 40257 46008 53676 80514 107352 161028 322056 439787 879574 1319361 1759148 2638722 3078509 3518296 3958083 5277444 6157018 7916166 9235527 10554888 11874249 12314036 15832332 18471054 23748498 24628072 27706581 31224877 31664664 35622747 36942108 47496996 55413162 62449754 71245494 73884216 83119743 93674631 94993992 110826324 124899508 142490988 166239486 187349262 218574139 221652648 249359229 249799016 281023893 284981976 332478972 374698524 437148278 498718458 562047786 655722417 664957944 749397048 843071679 874296556 997436916 1124095572 1311444834 1686143358 1748593112 1967167251 1994873832 2248191144 2529215037 2622889668 3372286716 3934334502 5058430074 5245779336 5901501753 6744573432 7868669004 10116860148 11803003506 15737338008 17704505259 20233720296 23606007012 35409010518 47212014024 70818021036 141636042072