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142324992 = 283359349
BaseRepresentation
bin10000111101110…
…11010100000000
3100220210212012000
420132323110000
5242413344432
622042304000
73345512445
oct1036732400
9326725160
10142324992
117337a967
123b7b8000
1323642694
1414c8b9cc
15c76557c
hex87bb500

142324992 has 144 divisors (see below), whose sum is σ = 429240000. Its totient is φ = 46503936.

The previous prime is 142324957. The next prime is 142325023. The reversal of 142324992 is 299423241.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×1423249923 (a number of 25 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407634 + ... + 407982.

Almost surely, 2142324992 is an apocalyptic number.

142324992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142324992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214620000).

142324992 is an abundant number, since it is smaller than the sum of its proper divisors (286915008).

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

142324992 is an equidigital number, since it uses as much as digits as its factorization.

142324992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 413 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 142324992 is about 11930.0038558250. The cubic root of 142324992 is about 522.1080500335.

The spelling of 142324992 in words is "one hundred forty-two million, three hundred twenty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 96 108 118 128 144 177 192 216 236 256 288 349 354 384 432 472 531 576 698 708 768 864 944 1047 1062 1152 1396 1416 1593 1728 1888 2094 2124 2304 2792 2832 3141 3186 3456 3776 4188 4248 5584 5664 6282 6372 6912 7552 8376 8496 9423 11168 11328 12564 12744 15104 16752 16992 18846 20591 22336 22656 25128 25488 33504 33984 37692 41182 44672 45312 50256 50976 61773 67008 67968 75384 82364 89344 100512 101952 123546 134016 135936 150768 164728 185319 201024 203904 247092 268032 301536 329456 370638 402048 407808 494184 555957 603072 658912 741276 804096 988368 1111914 1206144 1317824 1482552 1976736 2223828 2412288 2635648 2965104 3953472 4447656 5271296 5930208 7906944 8895312 11860416 15813888 17790624 23720832 35581248 47441664 71162496 142324992