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78143142 = 23721173331
BaseRepresentation
bin1001010100001…
…01111010100110
312110001002020110
410222011322212
5130001040032
611430513450
71636130400
oct452057246
9173032213
1078143142
1140123110
1222205886
131326015c
14a541b70
156cd87cc
hex4a85ea6

78143142 has 96 divisors (see below), whose sum is σ = 201654144. Its totient is φ = 19958400.

The previous prime is 78143137. The next prime is 78143189. The reversal of 78143142 is 24134187.

It is a super-2 number, since 2×781431422 = 12212701283264328, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 235917 + ... + 236247.

It is an arithmetic number, because the mean of its divisors is an integer number (2100564).

Almost surely, 278143142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78143142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100827072).

78143142 is an abundant number, since it is smaller than the sum of its proper divisors (123511002).

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

78143142 is a wasteful number, since it uses less digits than its factorization.

78143142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 427 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 78143142 is about 8839.8609717574. The cubic root of 78143142 is about 427.5270746506.

The spelling of 78143142 in words is "seventy-eight million, one hundred forty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 73 77 98 146 147 154 219 231 294 331 438 462 511 539 662 803 993 1022 1078 1533 1606 1617 1986 2317 2409 3066 3234 3577 3641 4634 4818 5621 6951 7154 7282 10731 10923 11242 13902 16219 16863 21462 21846 24163 25487 32438 33726 39347 48326 48657 50974 72489 76461 78694 97314 118041 144978 152922 169141 178409 236082 265793 338282 356818 507423 531586 535227 797379 1014846 1070454 1183987 1594758 1860551 2367974 3551961 3721102 5581653 7103922 11163306 13023857 26047714 39071571 78143142