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142148968 = 231317374153
BaseRepresentation
bin10000111100100…
…00010101101000
3100220110220201121
420132100111220
5242342231333
622034425024
73344150323
oct1036202550
9326426647
10142148968
117326a695
123b732174
13235b0520
1414c437ba
15c72d32d
hex8790568

142148968 has 128 divisors (see below), whose sum is σ = 325775520. Its totient is φ = 57507840.

The previous prime is 142148957. The next prime is 142148977. The reversal of 142148968 is 869841241.

142148968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 22071204 + 120077764 = 4698^2 + 10958^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2682030 + ... + 2682082.

Almost surely, 2142148968 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 142148968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162887760).

142148968 is an abundant number, since it is smaller than the sum of its proper divisors (183626552).

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

142148968 is a wasteful number, since it uses less digits than its factorization.

142148968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 163 counting only the distinct ones).

The product of its digits is 110592, while the sum is 43.

The square root of 142148968 is about 11922.6242077824. The cubic root of 142148968 is about 521.8927178323.

The spelling of 142148968 in words is "one hundred forty-two million, one hundred forty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 17 26 34 37 41 52 53 68 74 82 104 106 136 148 164 212 221 296 328 424 442 481 533 629 689 697 884 901 962 1066 1258 1378 1394 1517 1768 1802 1924 1961 2132 2173 2516 2756 2788 3034 3604 3848 3922 4264 4346 5032 5512 5576 6068 7208 7844 8177 8692 9061 11713 12136 15688 16354 17384 18122 19721 23426 25493 25789 28249 32708 33337 36244 36941 39442 46852 50986 51578 56498 65416 66674 72488 73882 78884 80401 93704 101972 103156 112996 133348 147764 157768 160802 203944 206312 225992 266696 295528 321604 335257 433381 480233 643208 670514 866762 960466 1045213 1341028 1366817 1733524 1920932 2090426 2682056 2733634 3467048 3841864 4180852 5467268 8361704 10934536 17768621 35537242 71074484 142148968