Search a number
-
+
142778310012 = 223313101693953
BaseRepresentation
bin1000010011111001000…
…0000001110101111100
3111122112110120122121000
42010332100001311330
54314402221410022
6145331430410300
713213115416332
oct2047620016574
9448473518530
10142778310012
11556086a7618
1223808200990
1310605366810
146ca6607b52
153aa9ac46ac
hex213e401d7c

142778310012 has 48 divisors (see below), whose sum is σ = 398640299680. Its totient is φ = 43931787264.

The previous prime is 142778309983. The next prime is 142778310019. The reversal of 142778310012 is 210013877241.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142778310019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50845573 + ... + 50848380.

Almost surely, 2142778310012 is an apocalyptic number.

142778310012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142778310012 is an abundant number, since it is smaller than the sum of its proper divisors (255861989668).

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

142778310012 is a wasteful number, since it uses less digits than its factorization.

142778310012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101693979 (or 101693971 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 142778310012 in words is "one hundred forty-two billion, seven hundred seventy-eight million, three hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 101693953 203387906 305081859 406775812 610163718 915245577 1220327436 1322021389 1830491154 2644042778 2745736731 3660982308 3966064167 5288085556 5491473462 7932128334 10982946924 11898192501 15864256668 23796385002 35694577503 47592770004 71389155006 142778310012