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142318848 = 2837231151
BaseRepresentation
bin10000111101110…
…01110100000000
3100220210112202110
420132321310000
5242413200343
622042215320
73345455520
oct1036716400
9326715673
10142318848
1173376291
123b7b4540
132363c949
1414c89680
15c763833
hex87b9d00

142318848 has 144 divisors (see below), whose sum is σ = 452100096. Its totient is φ = 38860800.

The previous prime is 142318843. The next prime is 142318853. The reversal of 142318848 is 848813241.

It is a happy number.

142318848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (142318843) and next prime (142318853).

It is a super-3 number, since 3×1423188483 (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142318843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123073 + ... + 124223.

It is an arithmetic number, because the mean of its divisors is an integer number (3139584).

Almost surely, 2142318848 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 142318848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226050048).

142318848 is an abundant number, since it is smaller than the sum of its proper divisors (309781248).

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

142318848 is a wasteful number, since it uses less digits than its factorization.

142318848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1186 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 142318848 is about 11929.7463510336. The cubic root of 142318848 is about 522.1005369983.

The spelling of 142318848 in words is "one hundred forty-two million, three hundred eighteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 256 276 322 336 368 384 448 483 552 644 672 736 768 896 966 1104 1151 1288 1344 1472 1792 1932 2208 2302 2576 2688 2944 3453 3864 4416 4604 5152 5376 5888 6906 7728 8057 8832 9208 10304 13812 15456 16114 17664 18416 20608 24171 26473 27624 30912 32228 36832 41216 48342 52946 55248 61824 64456 73664 79419 96684 105892 110496 123648 128912 147328 158838 185311 193368 211784 220992 257824 294656 317676 370622 386736 423568 441984 515648 555933 635352 741244 773472 847136 883968 1031296 1111866 1270704 1482488 1546944 1694272 2062592 2223732 2541408 2964976 3093888 3388544 4447464 5082816 5929952 6187776 6777088 8894928 10165632 11859904 17789856 20331264 23719808 35579712 47439616 71159424 142318848