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142454986224 = 243171396192029
BaseRepresentation
bin1000010010101011111…
…0101001010111110000
3111121200221012002201220
42010222332221113300
54313221434024344
6145235400425040
713202111255355
oct2045276512760
9447627162656
10142454986224
1155462142681
1223737a78180
1310583390775
146c756c262c
153a8b509c19
hex212afa95f0

142454986224 has 160 divisors (see below), whose sum is σ = 393287328000. Its totient is φ = 44276723712.

The previous prime is 142454986213. The next prime is 142454986259. The reversal of 142454986224 is 422689454241.

142454986224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 31 ways as a sum of consecutive naturals, for example, 70208442 + ... + 70210470.

It is an arithmetic number, because the mean of its divisors is an integer number (2458045800).

Almost surely, 2142454986224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142454986224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196643664000).

142454986224 is an abundant number, since it is smaller than the sum of its proper divisors (250832341776).

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

142454986224 is a wasteful number, since it uses less digits than its factorization.

142454986224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815 (or 2809 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 51.

The spelling of 142454986224 in words is "one hundred forty-two billion, four hundred fifty-four million, nine hundred eighty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 139 204 272 278 408 417 556 619 816 834 1112 1238 1668 1857 2029 2224 2363 2476 3336 3714 4058 4726 4952 6087 6672 7089 7428 8116 9452 9904 10523 12174 14178 14856 16232 18904 21046 24348 28356 29712 31569 32464 34493 37808 42092 48696 56712 63138 68986 84184 86041 97392 103479 113424 126276 137972 168368 172082 206958 252552 258123 275944 282031 344164 413916 505104 516246 551888 564062 688328 827832 846093 1032492 1128124 1255951 1376656 1462697 1655664 1692186 2064984 2256248 2511902 2925394 3384372 3767853 4129968 4388091 4512496 4794527 5023804 5850788 6768744 7535706 8776182 9589054 10047608 11701576 13537488 14383581 15071412 17552364 19178108 20095216 21351167 23403152 28767162 30142824 35104728 38356216 42702334 57534324 60285648 64053501 70209456 76712432 85404668 115068648 128107002 170809336 174577189 230137296 256214004 341618672 349154378 512428008 523731567 698308756 1024856016 1047463134 1396617512 2094926268 2793235024 2967812213 4189852536 5935624426 8379705072 8903436639 11871248852 17806873278 23742497704 35613746556 47484995408 71227493112 142454986224