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142050024 = 233723353
BaseRepresentation
bin10000111011110…
…00001011101000
3100220021220000000
420131320023220
5242331100044
622032343000
73343256004
oct1035701350
9326256000
10142050024
1173202316
123b6a4a60
132357748c
1414c19704
15c70dd69
hex87782e8

142050024 has 128 divisors (see below), whose sum is σ = 418003200. Its totient is φ = 45163008.

The previous prime is 142049969. The next prime is 142050037. The reversal of 142050024 is 420050241.

142050024 is a `hidden beast` number, since 142 + 0 + 500 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 142049979 and 142050006.

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 31 ways as a sum of consecutive naturals, for example, 402232 + ... + 402584.

It is an arithmetic number, because the mean of its divisors is an integer number (3265650).

Almost surely, 2142050024 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 142050024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209001600).

142050024 is an abundant number, since it is smaller than the sum of its proper divisors (275953176).

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

142050024 is an equidigital number, since it uses as much as digits as its factorization.

142050024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 142050024 is about 11918.4740634026. The cubic root of 142050024 is about 521.7716004357.

The spelling of 142050024 in words is "one hundred forty-two million, fifty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 243 276 324 353 414 486 552 621 648 706 729 828 972 1059 1242 1412 1458 1656 1863 1944 2118 2187 2484 2824 2916 3177 3726 4236 4374 4968 5589 5832 6354 7452 8119 8472 8748 9531 11178 12708 14904 16238 16767 17496 19062 22356 24357 25416 28593 32476 33534 38124 44712 48714 50301 57186 64952 67068 73071 76248 85779 97428 100602 114372 134136 146142 171558 194856 201204 219213 228744 257337 292284 343116 402408 438426 514674 584568 657639 686232 772011 876852 1029348 1315278 1544022 1753704 1972917 2058696 2630556 3088044 3945834 5261112 5918751 6176088 7891668 11837502 15783336 17756253 23675004 35512506 47350008 71025012 142050024