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77114142 = 232721737139
BaseRepresentation
bin1001001100010…
…10101100011110
312101002210201100
410212022230132
5124220123032
611352453530
71624313400
oct446125436
9171083640
1077114142
113a58aaa6
12219aa2a6
1312c8c991
14a354b70
156b8397c
hex498ab1e

77114142 has 144 divisors (see below), whose sum is σ = 212874480. Its totient is φ = 20030976.

The previous prime is 77114137. The next prime is 77114171. The reversal of 77114142 is 24141177.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 554709 + ... + 554847.

It is an arithmetic number, because the mean of its divisors is an integer number (1478295).

Almost surely, 277114142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77114142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106437240).

77114142 is an abundant number, since it is smaller than the sum of its proper divisors (135760338).

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

77114142 is a wasteful number, since it uses less digits than its factorization.

77114142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 205 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 77114142 is about 8781.4658229706. The cubic root of 77114142 is about 425.6421977435.

The spelling of 77114142 in words is "seventy-seven million, one hundred fourteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 37 42 49 51 63 74 98 102 111 119 126 139 147 153 222 238 259 278 294 306 333 357 417 441 518 629 666 714 777 833 834 882 973 1071 1251 1258 1554 1666 1813 1887 1946 2142 2331 2363 2499 2502 2919 3626 3774 4403 4662 4726 4998 5143 5439 5661 5838 6811 7089 7497 8757 8806 10286 10878 11322 13209 13622 14178 14994 15429 16317 16541 17514 20433 21267 26418 30821 30858 32634 33082 36001 39627 40866 42534 46287 49623 61299 61642 72002 79254 87431 92463 92574 99246 108003 115787 122598 148869 174862 184926 216006 231574 252007 262293 277389 297738 324009 347361 504014 524586 554778 612017 648018 694722 756021 786879 1042083 1224034 1512042 1573758 1836051 2084166 2268063 3672102 4284119 4536126 5508153 8568238 11016306 12852357 25704714 38557071 77114142